tag > Complexity

  • Dolphins

    “ For instance, on the planet Earth, man had always assumed that he was more intelligent than dolphins because he had achieved so much—the wheel, New York, wars and so on—while all the dolphins had ever done was muck about in the water having a good time. But conversely, the dolphins had always believed that they were far more intelligent than man—for precisely the same reasons. ” Douglas Adams, The Hitchhiker's Guide to the Galaxy (1979).

    #Biology #Nature #Complexity

  • The Demiurge & the Crooked Tree

    Around 360 BC Plato described a god who builds the world with geometry. This is how that idea travelled through cathedrals, lodges and laboratories into today's AI labs, and what a tree that nobody built has to say about it.

    God the Geometer, frontispiece of the Bible moralisée
    God as architect of the universe. Bible moralisée, France, c. 1220s. Vienna, ÖNB Cod. 2554.

    Few people today have read Plato's Timaeus, yet few books have shaped Western thought as much. The philosopher Alfred North Whitehead said that European philosophy is "a series of footnotes to Plato". Many of those footnotes lead back to this one dialogue.

    When Raphael painted The School of Athens in the Vatican, he placed Plato at the centre with a book under his arm. It is not the Republic. It is the Timaeus. Plato points upward, toward the eternal. Beside him, Aristotle holds his hand flat, palm down, toward the earth. The two gestures sum up two ways of looking for order: above the world, or inside it.

    Raphael's School of Athens, zooming into Plato and AristotleTIMEO · ETICA
    Raphael, The School of Athens, 1509–11. As the picture zooms in, the titles become readable: TIMEO for Plato, ETICA for Aristotle. Public domain.

    For about seven centuries, for most readers in Latin Europe, the Timaeus simply was Plato. In the 4th century a scholar named Calcidius translated its first half into Latin and added a long commentary, and the cathedral schools of the Middle Ages grew up on that translation. It is often said that Plato was lost to the West until the Renaissance. This is not quite true. The Timaeus was the part of Plato that stayed.

    The same dialogue is also where the story of Atlantis first appears. We will meet it again later.

    I should say at the start where this essay is going. The creation story in the Timaeus can be laid next to the way today's AI labs describe their work, and the two match closely, step by step. If you are short of time, you can go straight to that comparison. But the history explains why the match exists, so I recommend the longer road.

    α΄

    A likely story

    The dialogue takes place the day after Socrates has described his ideal city. He says he would like to see such a city in action. Critias offers the tale of Atlantis, which he says reached Athens from Egyptian priests through the statesman Solon. Then Timaeus, an astronomer from Locri in southern Italy, takes over. In one long speech he describes the whole universe from its beginning: the gods, the stars, the elements, the soul, and even the bone marrow, the liver and disease.

    Before he begins, he warns his listeners. What he is about to tell, he says, is an eikōs muthos (εἰκὼς μῦθος), a likely story. Eternal things can be known exactly. The things we see and touch, which are always changing, can only be described in a way that is probable. So Timaeus offers the best account he can, and no more.

    This warning matters, and I will come back to it, because most of Plato's later readers forgot it.

    The universe of the Timaeus rests on three principles:

    Νοῦς
    Intellect · The Demiurge

    A divine craftsman. He does not create from nothing. He finds matter "in discordant and disorderly motion" and puts it in order, because he is good and wants everything to be as good as possible. His model is the eternal Forms.

    Ἀνάγκη
    Necessity · The Receptacle

    The chōra: a neutral space in which things appear and dissolve, "the nurse of all becoming". Plato admits we can grasp it only "by a kind of bastard reasoning", as if in a dream.

    Ψυχή
    The World Soul

    The cosmos is a single living creature with a body and a soul. The soul is mixed from Being, Sameness and Difference, and it is what makes the heavens turn in regular circles.

    Time comes from this as well. Plato calls it "a moving image of eternity": the steady turning of the heavens is a moving copy of something that does not move.

    There is one more detail, and later readers usually skipped it. Matter resists. Plato calls this resistance Necessity, or the "wandering cause". The craftsman does not defeat Necessity. He persuades her:

    Reason overruled Necessity by persuading her to guide the greater part of the things that come to be toward what is best.Timaeus 48a

    Note the words "the greater part". Not everything. Plato left a margin in his cosmos where the craftsman does not get his way. Most of the traditions that followed him quietly removed it.

    β΄

    Fire is made of pyramids

    Then Plato does something remarkable for the 4th century BC. He proposes a theory of atoms. His atoms are not small balls, as they were for Democritus. They are triangles.

    There are two kinds: half of an equilateral triangle (angles of 30°, 60° and 90°) and half of a square (45°, 45° and 90°). Triangles combine into faces, faces into solids, and each solid is an element. Fire is the pyramid, the tetrahedron, which is why, Plato says, fire feels sharp: it cuts. Choose an element below, drag it to turn it, and show the atoms to see its triangles.

    Open the post page for the interactive Platonic solids.

    Heaven
    Dodecahedron
    faces
    atoms
    TRANSMUTATION LEDGER · Timaeus 56d · 1 water [20 faces] → 1 fire [4] + 2 air [8 + 8] · 20 = 4 + 16 · earth: no exchange possible

    The system has a curious property. When fire cuts a particle of water, the water breaks into one particle of fire and two of air. Water has twenty triangular faces, fire has four and each air has eight, so twenty faces go in and twenty come out. The triangles are conserved. More than two thousand years before physicists wrote down the conservation of energy, Plato wrote down a conservation law for triangles.

    Earth is the exception. Its cube is built from the other kind of triangle, so it cannot trade with the rest. It breaks apart, drifts, and comes back together, but always as earth.

    There are five regular solids and only four elements. The fifth, the dodecahedron, gets a single mysterious sentence: the god used it "for the whole, embroidering it with figures". It cannot be built from Plato's triangles at all. The one shape that does not fit the system becomes the shape of heaven.

    These ideas lasted a long time. In the spring of 1919, during the street fighting in Munich, the seventeen-year-old Werner Heisenberg was posted on the roof of a seminary, and in the quiet mornings he read the Timaeus in Greek. He thought the triangle atoms were absurd. But he could not let go of the idea that the smallest parts of matter might be mathematical forms rather than tiny objects. Many years later he wrote that modern physics had "definitely decided in favor of Plato".

    Leonardo da Vinci's polyhedron illustration for Pacioli
    Leonardo da Vinci's drawings of the solids for Luca Pacioli's De divina proportione, 1509.
    Kepler's nested Platonic solids model from Mysterium Cosmographicum
    Johannes Kepler, Mysterium Cosmographicum, 1596. The five solids nested inside one another, one between each pair of planetary spheres.

    In 1596 Johannes Kepler, then twenty-four, took the solids literally. He placed them one inside another and claimed they explained the distances between the six planets known at the time. It was a beautiful idea, and it was wrong.

    What I admire is that Kepler himself gave it up. Years later, working with Tycho Brahe's precise observations of Mars, he found that the orbit would not fit a circle, however he tried. The orbits were ellipses. He abandoned his most beautiful idea because the measurements would not agree with it. For once, Necessity persuaded the craftsman.

    γ΄

    The soul is a tuned instrument

    Medieval Calcidius manuscript diagram of the World Soul lambda
    The numbers of the World Soul drawn as a large Λ and filled with musical ratios. Calcidius manuscript, Vienna ÖNB 278.

    The cosmos needs a soul, so the craftsman mixes one in a bowl, from Being, Sameness and Difference. Then he divides the mixture according to numbers.

    He measures out portions in the proportions 1, 2, 3, 4, 9, 8, 27. These are two series: the doubles 1, 2, 4, 8 and the triples 1, 3, 9, 27. Medieval copyists drew them in the shape of the Greek letter lambda, Λ. Then he fills the gaps between the numbers until every interval is a tone of 9:8, with a small remainder of 256:243.

    The result is the Pythagorean musical scale. The soul of the universe, in other words, is tuned like an instrument. Tap the numbers to hear them.

    DOUBLES · octaves TRIPLES · fifths

    Hear the World Soul

    Each number is a multiple of a base frequency. Doubling gives an octave, tripling an octave and a fifth. Play the lambda, then the scale Plato derives from it.

    sound on. it is quiet.

    Next the craftsman cuts this strip of soul in two along its length, lays the halves across each other in the form of an X, and bends each into a circle. The outer circle, the circle of the Same, carries the fixed stars, which all turn together. The inner circle, the circle of the Different, is divided into seven rings for the planets, which move at their own speeds. The universe becomes a set of turning rings governed by musical ratios.

    Robert Fludd's Anima Mundi engraving
    Robert Fludd, Utriusque Cosmi Historia, 1617. The World Soul as a woman chained to God above and to an ape below, the ape standing for human art, which imitates nature.

    Each human being also receives a soul, mixed from what was left in the same bowl and less pure. When this soul is placed in a body, the rush of sensation throws its circles into disorder. A newborn child, Plato says, is like a man standing on his head.

    Life therefore has a task: to put the circles back in order. The method is to look up. We were given eyes, Plato says, so that we could watch the regular motions of the heavens and use them to correct the irregular motions of our own minds. One could call it salvation through astronomy.

    The arrangement is simple. The cosmos is a perfect mechanism, each of us is an imperfect copy, and by studying the mechanism we can be repaired. This is the idea that travels furthest in the rest of the story.

    δ΄

    God picks up a compass

    From here on, the idea leaves the book.

    Around 1220, in Paris, an illuminator painted God bending over a lumpy ball of chaos and measuring it with a pair of compasses. The picture states the idea in one image: God is an architect. It also suggests the reverse, though nobody said so aloud: an architect is a little like God.

    The Renaissance gave the idea new force. In 1484 Marsilio Ficino, paid by the Medici, published the first complete Latin translation of Plato. Luca Pacioli wrote about the divine proportion, Leonardo drew the solids, Kepler nested them, and Robert Fludd engraved the cosmos as a single string tuned by a hand reaching out of a cloud. God was now a geometer, and the geometer was a kind of hero.

    Kepler against Fludd

    Robert Fludd's divine monochord, tuned by a hand from the clouds
    Fludd's divine monochord, Utriusque Cosmi Historia, 1617. One string from the earth to the highest heaven, tuned by a hand from the clouds.

    Two of these men then quarrelled. In 1619 Kepler published Harmonices Mundi, The Harmony of the World, with an appendix attacking Fludd. Fludd replied, Kepler replied again, and the exchange of pamphlets went on for three years.

    Both believed the cosmos was built on harmony. They disagreed about how a person could know it. For Kepler, harmony was something to be measured: real ratios in real orbits, checked against Tycho's numbers. For Fludd, mathematicians dealt only in "quantitative shadows", and true harmony was known from within, through a sympathy between the soul and the world. Kepler's answer became famous:

    I have the tail in my hand, but you may be grasping the head mentally, though, I fear, only in your dreams.Kepler to Fludd, 1622, as quoted by Wolfgang Pauli

    This is the same disagreement that runs through this essay, between order imposed from outside and order found within, but here it happens inside the West, between two men who both used compasses. Kepler won, and modern astronomy grew from his method. Three centuries later Wolfgang Pauli, one of the founders of quantum mechanics, wrote a long study of the quarrel and ended with some sympathy for Fludd. Science, he felt, had won by leaving out half of the question.

    New Atlantis

    Francis Bacon died in 1626, the story goes, of a chill he caught while stuffing a chicken with snow to see whether the cold would preserve the meat. He left an unfinished utopia whose title answers Plato directly: New Atlantis.

    Plato's Atlantis was a warning: a rich, clever and arrogant empire beyond the Pillars of Hercules, which the gods sank "in a single day and night". Bacon's island, Bensalem, lies hidden in the Pacific, and it is governed, discreetly, by a research institute.

    The institute is called Salomon's House. Its members carry out experiments in deep caves and high towers, breed new plants and animals, and build engines, lenses and "sound-houses". They send secret agents, the "Merchants of Light", abroad to collect the knowledge of other countries. They also decide among themselves which discoveries the state will be told about. Their purpose is stated like this:

    The End of our Foundation is the knowledge of Causes, and secret motions of things; and the enlarging of the bounds of Human Empire, to the effecting of all things possible.Francis Bacon, New Atlantis, 1627

    It is hard to read this today without thinking of the mission statement of an AI lab.

    Frontispiece of Bacon's Great Instauration, a ship sailing between the Pillars of Hercules
    Frontispiece of Bacon's Instauratio Magna, 1620. A ship sails out between the Pillars of Hercules, where Plato placed Atlantis. The motto reads: "Many will pass through, and knowledge will increase."
    Frontispiece of Sprat's History of the Royal Society with Francis Bacon
    Wenceslaus Hollar's frontispiece to Sprat's History of the Royal Society, 1667. Bacon sits on the right, named Artium Instaurator, the renewer of the arts, among scientific instruments.

    Bacon also wrote the clearest version of Plato's idea of persuasion: "Nature, to be commanded, must be obeyed." Both halves are in the sentence. The centuries that followed mostly remembered the first.

    Salomon's House became the ideal of English gentlemen who experimented in their spare time. The founders of the Royal Society treated Bacon as their patron and his imaginary institute as their plan. The Freemasons, whose rituals centre on Solomon's Temple, drew from the same source. Historians still argue about how much of this resemblance is influence and how much is coincidence.

    The Freemasons

    In the same decades, the idea found an organisation.

    • 1598The Schaw Statutes regulate the Scottish lodges of working stonemasons, men who actually cut stone.
    • 1646Elias Ashmole, antiquarian, astrologer and alchemist, is made a Freemason in Warrington. He has never cut a stone in his life.
    • 1660The Royal Society is founded, with Salomon's House as its ideal. Ashmole is one of its early fellows. The two worlds share the same rooms and many of the same people.
    • 1717Four London lodges meet at the Goose and Gridiron tavern near St Paul's and form a Grand Lodge.
    • 1723James Anderson publishes the Constitutions of the Free-Masons, which begins:
    Frontispiece of Anderson's Constitutions of the Free-Masons, 1723
    Frontispiece of Anderson's Constitutions, 1723. On the floor lies a diagram from Euclid.
    Adam, our first Parent, created after the Image of God, the great Architect of the Universe, must have had the Liberal Sciences, particularly Geometry, written on his Heart.Anderson's Constitutions, 1723

    Geometry, written on the human heart by an architect. These new "speculative" masons had taken over a guild of men who really built things. They kept the tools, the square, the compasses and the plumb line, but applied them to the self. The rough stone stood for the unformed person, the smooth, squared stone for the person improved. It is the pattern of the Timaeus again: the order of the cosmos used to correct the disorder of the individual.

    In the lodges, members were taught with painted "tracing boards" laid on the floor. They show two pillars, a ladder to heaven, the square and compasses, the all-seeing eye, and often Euclid's 47th proposition, the theorem of Pythagoras, as the emblem of the whole enterprise: a god who builds with geometry, and men who become more like him by learning it.

    Josiah Bowring, First Degree Tracing Board
    Josiah Bowring, First Degree tracing board, early 19th century. Pillars, Jacob's ladder, and the square and compasses on a chequered floor. Museum of Freemasonry, London.
    Masonic tracing board with Euclid's 47th proposition
    Tracing board, unknown artist. At top left, Euclid's 47th proposition, the same diagram that lies on the floor in Anderson's frontispiece. Museum of Freemasonry, London.

    I confess I find this part of the story rather dull: a club of gentlemen dressed as builders, who built nothing and claimed to hold the plan of everything. But dull ideas are often the ones that last. Seventy years later George Washington, wearing a Masonic apron, laid the cornerstone of the United States Capitol with a silver trowel.

    The heretics

    Not everyone accepted the idea. In 1794 William Blake took the image of God with the compasses and turned it into a warning.

    William Blake, The Ancient of Days
    Blake, The Ancient of Days, 1794. Urizen, Blake's god of reason and law, fixing the limits of the world with a pair of dividers.
    William Blake, Newton
    Blake, Newton, 1795–c.1805. The scientist at the bottom of the sea, so absorbed in his diagram that he has turned his back on the living rock behind him.

    For Blake, the god with the compasses was not a creator but a jailer. He stood for reason that forgets it is only one of our faculties and begins to draw the limits of the whole world.

    May God us keep
    From Single vision & Newton's sleep!Blake, letter to Thomas Butts, 1802

    Goethe made a similar protest through botany. In The Metamorphosis of Plants (1790) he argued that all the parts of a flower, sepals, petals and stamens, are transformed leaves. Form, for him, grows from inside the plant through variation; it is not stamped on from outside. He then spent twenty years in a losing argument with Newton about colour.

    The West always had these dissenters. They were rarely the ones who received the funding.

    ε΄

    The craftsman becomes a company

    Now jump to the present. Replace the compasses with a computer chip, take away the gods, and the structure of the story is still there.

    God the Geometer, Bible moralisée
    About 1220. A mind outside the world, measuring chaos.
    Die shot of an Nvidia G71 GPU
    2006. An Nvidia G71 graphics chip with its cover removed: sand, melted and measured. Photo: Martijn Boer, public domain.

    Below is the creation story of the Timaeus, step by step. Switch it to 2026 to see how each step corresponds to the way AI is built today. The names change; the steps stay the same.

    The creation story
    1. The Goodτἀγαθόν The Good"God desired that all things should be good and nothing bad, so far as this was attainable." 30a "Benefits all of humanity"The mission statement of the OpenAI Charter. Every lab has its own version.
    2. The makerδημιουργός The DemiurgeA craftsman outside the world, "free from jealousy", who wants everything to be "as like himself as they could be." 29e The labA few hundred people outside the system they are building, who want it to share their values. They call this alignment.
    3. The patternπαράδειγμα The FormsHe works "after an eternal pattern", copying perfect originals into the world. 28a Latent spaceAn MIT paper argues that large models converge on "a shared statistical model of reality, akin to Plato's concept of an ideal reality."
    4. The receptacleχώρα The chōra"The receptacle, and in a manner the nurse, of all generation." Formless and shaking, with everything mixed together. 49a Data and computeThe text of the internet and the datacenters it is fed into. Formless and noisy, with everything mixed together.
    5. The mixing bowlκρατήρ The kraterHe blends Same, Different and Being in a bowl, cuts the mixture into strips and bends them into circles. 35a, 41d The training runThe data is mixed, gradient descent runs for months, and a finished model is taken out.
    6. The resultψυχή The World Soul"A living creature truly endowed with soul and intelligence." 30b The model"A country of geniuses in a datacenter." Dario Amodei, 2024.
    7. The helpersθεοὶ θεῶν The younger godsThe craftsman hands the messy mortal work to lesser gods: "Do ye therefore make them." 41c AgentsThe model hands tasks on to smaller agents and tools.
    8. The repair90d Tuning the soulHuman souls are born with their circles in disorder. Studying the heavens puts them back in line. AlignmentTraining with human feedback, testing, and a 30,000-word constitution used in training.

    I am aware that I have just done what this essay questions: I have taken a messy reality and pressed it into eight neat boxes. Some rows fit better than others, and the comparison between agents and the younger gods is half a joke. One row is wrong in an interesting way.

    The row that doesn't fit

    It is the row about the Forms. For Plato, the Forms come first and are then copied into matter. The "Platonic representation" found in AI works the other way round. Nobody puts it into the model. It appears out of the data as models grow larger, and vision models and language models, trained on completely different material, end up organising the world in similar ways. The form is found inside the mess, not stamped onto it.

    This is not Plato's finger pointing upward. It is Aristotle's hand, held flat over the ground. The most Platonic-sounding discovery in AI turns out to be something that grows, and this, I think, is the centre of the whole question.

    A constitution for the soul

    The last row is less of a stretch than it may seem. The Timaeus begins the morning after a long conversation about the ideal city, which Socrates briefly summarises: who governs, who guards, how citizens are born and educated. That conversation is usually identified with the Republic, whose Greek title, Politeia, is commonly translated as "constitution". Plato first writes the laws of the city; then he describes a cosmos and a soul that match them.

    In January 2026 the company Anthropic published the constitution for its Claude models: about 30,000 words on values and character, used directly in training. Inside the company an earlier version had been "endearingly known as the 'soul doc'". Among the outside reviewers were two members of the Catholic clergy.

    I do not mean this as mockery. Writing down what you hope a mind will be is more honest than pretending you are not shaping it. The method is also more careful than it first appears. The document mostly explains reasons rather than listing rules, on the theory that a model that understands why will behave better in new situations than one that has memorised instructions. This is the half of the Timaeus that is usually forgotten: reason persuading Necessity instead of overpowering her.

    Still, a small group of people writes down what is good and trains it into a mind. The compasses are still in the hand.

    (Disclosure: parts of this section were drafted together with Claude, which was trained on that document. It had opinions.)

    Plato, Bacon or a lab?

    Here are eight quotations. Some were written in 360 BC or 1627, others after 2010. Try to guess which are which.

    "Out of disorder he brought order, considering that this was in every way better than the other."

    Plato, Timaeus 30a.

    "Solve intelligence, and then use that to solve everything else."

    DeepMind's mission, as Demis Hassabis describes it.

    "We take all an oath of secrecy, for the concealing of those which we think fit to keep secret."

    Bacon, New Atlantis, 1627, on Salomon's House.

    "We expect that safety and security concerns will reduce our traditional publishing in the future."

    OpenAI Charter, 2018.

    "To make divers new plants, differing from the vulgar; and to make one tree or plant turn into another."

    Bacon, New Atlantis, 1627. Synthetic biology, four centuries early.

    "What I cannot build, I cannot understand."

    Written into the DNA of JCVI-syn1.0, the first cell controlled by a synthetic genome, 2010.

    "You shall weave together the mortal and immortal."

    Plato, Timaeus 41d. The craftsman instructing the younger gods.

    "Fixing the climate, establishing a space colony, and the discovery of all of physics."

    Sam Altman, The Intelligence Age, 2024.

    The new harmony

    compute (log) loss (log)
    A schematic scaling law, not real data. It shows only the shape of the relationship.

    Plato built the World Soul from a handful of numbers: 1, 2, 3, 4, 8, 9, 27. AI research found its own governing numbers in 2020, when Jared Kaplan and colleagues at OpenAI showed that the error of a language model falls as a power law as the model, the data and the computing power grow, "with some trends spanning more than seven orders of magnitude."

    On a graph with logarithmic axes this relationship is a straight line: one ratio that holds at every scale, which is exactly the kind of thing the Pythagoreans revered. Sam Altman summed it up this way: "deep learning worked, got predictably better with scale, and we dedicated increasing resources to it." The harmony of the spheres has become an investment plan.

    The craftsman signs his work

    Synthetic biology tells the same story in a wetter medium. In 2010 Craig Venter's team designed the genome of a bacterium on a computer, assembled it from "four bottles of chemicals", and transplanted it into a living cell of a related species, where it took control. Venter described the result as "the first self-replicating species we've had on the planet whose parent is a computer."

    Then they signed their work. The synthetic genome carries coded "watermarks": the names of 46 scientists, an email address and three quotations. One of them appeared in the quiz above. It was meant to quote Richard Feynman, but Feynman's blackboard actually read "What I cannot create, I do not understand." The copy came out slightly different from the original, which would not have surprised Plato.

    The phrase "biology is code" follows the same pattern as the table above. DNA is the Form, the body is a product built from it, and disease is an error to be corrected. Bacon's Salomon's House had already promised new species and "one tree or plant turn into another". And Venter himself said his team had not created life from nothing, because they needed a living cell to start the genome. This is the receptacle again. The craftsman never works from nothing.

    The pattern repeats each time: a mind outside the system, a perfect model, a disordered material, and the belief that the right equations will bring the material into order.

    Physics has its version too. The physicist Max Tegmark argues that the universe does not merely obey mathematics but is a mathematical structure. The simulation argument puts a craftsman outside the world once more, this time with a datacenter. And Atlantis has returned. Plato told its story as a warning about a brilliant empire that overreached and sank. Bacon reused the name as a promise. Silicon Valley mostly remembers Bacon's version.

    ϛ΄

    What the machines actually do

    There is an irony in all this. The technology itself does not work the way the craftsman story suggests.

    The biggest lesson that can be read from 70 years of AI research is that general methods that leverage computation are ultimately the most effective, and by a large margin.Rich Sutton, The Bitter Lesson, 2019

    The history of AI is full of attempts to design intelligence directly: expert systems, hand-built catalogues of knowledge, carefully engineered features, grammars and rules. Each was a blueprint, and each was eventually overtaken by simpler methods that learned from data. Sutton's conclusion is that we should build systems that can discover things as we do, "not which contain what we have discovered".

    Nobody designed the inner structure of a large model. It was grown. Billions of numbers begin as random noise and are adjusted, step by step, by gradient descent, until structure forms. This is less like a craftsman copying a model into matter, and more like what Laozi called the uncarved block, taking shape by itself.

    The machine grows like a plant, but the people who steer it speak like architects.

    This gap concerns me more than any benchmark. It is the belief that something grown can be fully specified, and that whatever does not fit the specification is an error to be deleted. Gardeners prune, of course. But a good gardener does not forget that it was the plant that did the growing.

    七

    The tree the carpenter walked past

    Anonymous Song dynasty painting of wintry trees
    Anonymous, Small Scene of Wintry Trees, Song dynasty. There is not a single straight line in it.

    At roughly the same time that Plato was writing, give or take a few decades, a Chinese writer we know as Zhuangzi told the following story.

    A master carpenter named Shi is travelling with his apprentice. At a village shrine they pass an enormous oak, wide enough to shade thousands of oxen, so tall that its lowest branches begin above the hilltops. Crowds gather to look at it. Shi does not even turn his head.

    The apprentice runs after him: I have never seen timber like that. Why won't you look at it? Shi dismisses it. The wood is worthless. Make a boat of it and the boat sinks. Make a coffin and it rots. A door would ooze sap, a pillar would be eaten by insects. The tree is useless, and that is why it has lived so long.

    That night the oak appears to him in a dream. In paraphrase: What are you comparing me with? With useful trees? Fruit trees are stripped and broken as soon as their fruit is ripe. Their usefulness ruins their lives. I have been trying to be useless for a very long time. I nearly died more than once, but now I have succeeded, and my uselessness is my great use. If I had been useful, would I ever have grown this large?

    Xu Daoning, Holding a Wand under the Pine Tree
    Attributed to Xu Daoning, Holding a Wand under the Pine Tree, Song dynasty.

    The chapter ends with a sentence that sums up the whole story:

    Everyone knows the use of the useful. Nobody knows the use of the useless.人皆知有用之用,而莫知無用之用也Zhuangzi, ch. 4

    Compare this with the Timaeus. Plato's god is a craftsman who looks at raw material and sees what it ought to become. In Zhuangzi's story, the raw material scolds the craftsman for failing to see what it already is.

    Below is a tree drawn without a plan, from one simple, slightly crooked rule repeated many times. Click to grow another.

    Open the post page to grow the trees.

    tree #1 of ∞

    There are exactly five regular solids; Euclid proved that a sixth is impossible. There is no limit to the number of crooked trees.

    The hole in the wheel

    Plato's system also contains a kind of emptiness: the receptacle, the chōra. He is clearly uneasy about it. It can be grasped, he says, only by "bastard reasoning", as if in a dream. Laozi, in chapter 11 of the Tao Te Ching, puts exactly this emptiness at the centre:

    Thirty spokes share one hub. It is the empty space that makes the cart useful.三十輻共一轂,當其無,有車之用Tao Te Ching, ch. 11

    The idea is the same, but its value is reversed. For Plato, empty space is the uncomfortable basement of the cosmos. For Laozi, it is what makes things useful. Laozi's ideal is not the perfectly cut stone but pu, the uncarved block: the wood as it was before anyone took a chisel to it.

    Joseph Needham, the Cambridge biochemist who devoted his life to Science and Civilisation in China, tried to sum up the Chinese view of nature in one phrase:

    An ordered harmony of wills without an ordainer.Joseph Needham, 1956

    Order without anyone giving the orders. I know of no sentence in English further from the Demiurge.

    Buddha in this body

    Portrait of Kūkai from the Eight Patriarchs of Shingon
    Kūkai (774–835), from Eight Patriarchs of the Shingon Sect.

    In 804 a Japanese monk named Kūkai sailed to Chang'an, the Chinese capital, studied esoteric Buddhism with the master Huiguo, and returned to Japan to found the Shingon school. His central teaching is sokushin jōbutsu (即身成仏): becoming a Buddha in this very body. Not after death, and not in a better world, but here.

    For Plato, the body is what throws the soul into disorder. For Kūkai, the body is the instrument of practice. The practice works through the "three mysteries": the hands, through gestures called mudras; the voice, through mantras; and the mind, through the images of the mandala. One does not escape the confusion by thinking alone. One tunes it with the whole body.

    Kūkai's list of elements is revealing too: earth, water, fire, wind, space and consciousness. Mind is one of the elements. Plato's elements are lifeless triangles that need a soul brought in from outside. Kūkai's already contain awareness:

    The six great elements interpenetrate without obstruction, in eternal union.六大無碍常瑜伽Kūkai, Sokushin jōbutsu gi

    The same cube

    Here the story takes a strange turn. In old Japanese cemeteries there are gorintō, stone stupas made of five stacked shapes, one for each element:

    Plato · heaven = dodeca
    Plato · air = octa
    Plato · fire = tetra
    Plato · water = icosa
    Plato · earth = CUBE
    空 void · jewel
    風 wind · crescent
    火 fire · pyramid
    水 water · sphere
    地 earth · CUBE

    The earth is a cube, just as in Plato. Two traditions with almost no contact both gave the earth the shape of a cube, and then used it in opposite ways.

    Look at photographs of old gorintō and you see stones softened by centuries of rain, spotted with lichen, sometimes leaning a little. A Platonic cube is meant to stay exact forever. These cubes have been allowed to age.

    Plato uses geometry as a mould, something pressed into matter from outside to make it behave. Shingon uses geometry as a mirror. Its great mandalas are not plans for building the world. They are maps of what a person already is, and the practitioner enters them with body and voice.

    Womb Realm Mandala (Taizōkai)
    The Womb Realm mandala (Taizōkai), one of Shingon's two great mandalas. Strict geometry, used as a mirror for the body rather than a mould for matter.

    Further west, in India, the ideas become stranger still. Kashmir Shaivism describes the basic texture of reality as spanda: a throb or pulse, consciousness vibrating and recognising itself in everything it becomes. Other Indian traditions speak of līlā, play: the cosmos as something performed rather than built.

    Chinese Huayan Buddhism describes Indra's net: an endless web with a jewel at every knot, each jewel reflecting all the others. It is the opposite of a world made of five separate solids. In Indra's net nothing has a shape of its own; everything exists through its relations.

    The Demiurge
    • The cosmos is built
    • Order is imposed from outside
    • Chaos is the enemy, persuaded at best
    • The body disturbs the soul
    • Geometry as a mould
    • You improve yourself by studying the mechanism
    The Crooked Tree
    • The cosmos grows, or plays
    • Order arises from within
    • Chaos is material, and a source
    • The body is the instrument
    • Geometry as a mirror
    • You stop forcing, and notice

    The picture is not so simple

    Diagram of I Ching hexagrams sent to Leibniz in 1701
    The I Ching hexagram diagram that Joachim Bouvet sent from Beijing to Leibniz in 1701, with Leibniz's own pencil numbers.

    It would be wrong, though, to present the East as purely the side of the tree. Kūkai's school had its own version of Salomon's House. Mikkyō, the name of his tradition, means "secret teaching": initiation by a master, knowledge passed on behind closed doors, rituals that may not be described to outsiders. In its structure it is closer to a Masonic lodge than I would like.

    And for centuries the Tao Te Ching was also read as a handbook for rulers. Han Feizi, the hard-minded Legalist whose ideas the Qin state used to build China's first empire, wrote commentaries on Laozi. Wu wei, non-action, can mean letting the river find its own course. It can also mean a ruler so powerful that he never needs to lift a finger.

    In 1701 Joachim Bouvet, a Jesuit in Beijing, sent Leibniz a diagram of the 64 hexagrams of the I Ching, in the arrangement of the Song philosopher Shao Yong. Looking at the broken and unbroken lines, Leibniz recognised his own binary arithmetic of zeros and ones.

    Every chip that runs today's AI counts in a number system whose European inventor believed he had found it confirmed in an ancient Chinese book of divination. These traditions were never sealed off from one another. They have been borrowing from each other for centuries.

    八

    So does the East win?

    There is a popular version of this story. The West runs toward a cliff, building a god out of silicon and rewriting life as code, while China, Iran and others rediscover their non-Platonic roots and inherit the century.

    I understand its appeal, but I do not fully believe it.

    China. There is a real tradition of systems thinking there. Qian Xuesen wrote Engineering Cybernetics at Caltech in 1954, was deported during the McCarthy era, and returned to China, where he helped build the missile and space programmes and a whole culture of planning based on systems science. "Ecological civilization" was written into the Chinese constitution in 2018. But China is also the most thoroughly engineered state on Earth. The writer Dan Wang calls it an engineering state, in contrast to the "lawyerly society" of the United States: five-year plans, perfectly straight high-speed railways, whole cities built within a decade. On some days Beijing looks much more like the Demiurge than Palo Alto does.

    Iran. Suhrawardi's 12th-century Philosophy of Illumination describes reality as degrees of living light. Mulla Sadra's doctrine of "substantial motion" holds that being itself is continuous change: nothing simply sits still, being a cube. This is beautiful, and far from lifeless geometry. But Suhrawardi counted Plato among his teachers. The philosophy of illumination is Platonism set alight, not its opposite. And states are not governed by metaphysics. They are governed by oil, demography and fear.

    Iran also offers a third kind of geometry, which belongs to neither side of this essay. In 2007 the physicists Peter Lu and Paul Steinhardt showed that the tile patterns of the Darb-i Imam shrine in Isfahan, built in 1453, follow rules very close to those of quasicrystals: patterns that are strictly ordered and yet never repeat. In Europe such patterns were described only in the 1970s, by Roger Penrose.

    Girih tilework on a spandrel of the Darb-i Imam shrine, Isfahan
    Spandrel of the Darb-i Imam shrine, Isfahan, 1453. The large pattern of lines is repeated at a smaller scale inside itself. Public domain.

    Below is a pattern of the same family. It is made with a modern method the Isfahan craftsmen did not use, but whose result they would recognise: a hidden tiling of two rhombs, shown by the faint lines, carries a band of interlaced strapwork. Every line follows a strict rule, yet the pattern never repeats, however far it is extended. Click for another.

    Open the post page to draw the pattern.

    five directions · two tiles · no repeats

    This is neither the craftsman's mould nor the crooked tree. It is order that is completely exact and still never closes. If there is a geometry for the century ahead, it may look more like this than like either of the others.

    The dividing line does not run between East and West. It runs through every laboratory, every ministry and every person.

    On one side is the craftsman, on the other the tree: imposing order, or letting it grow. The West has Blake and Goethe, Gregory Bateson, ecology, cybernetics and the complexity scientists of the Santa Fe Institute. The East has the largest top-down planning machinery ever built. Everyone carries both.

    Where I do agree with the popular version is this: the societies that do well in this century will be the ones that can hold both. The compasses are not the villain. They gave us bridges, vaccines and the chips this page is running on. The skill is to pick them up and then to put them down again, to build the trellis and let the vine do the rest. Systems that treat disorder as an error tend to be broken by it. Systems that treat it as material can work with it. Most discoveries happen at the boundary between order and chaos, not on either side of it.

    Plato himself knew this. It is in his text: reason persuades Necessity; it does not abolish her. The problem is not the Timaeus. The problem is twenty-four centuries of reading it as an engineering specification instead of as a likely story.

    Ma Yuan, Walking on a Mountain Path in Spring
    Ma Yuan, Walking on a Mountain Path in Spring, Song dynasty, c. 1200. A scholar, a willow, a bird, and a great deal of empty space.
    The DemiurgeThe mycelium
    Alignment as enforcementAlignment as tuning
    Five perfect solidsCountless crooked trees
    Geometry as a mouldGeometry as a mirror

    I want to return once more to Zhuangzi's oak. It survived because it was useless. Nobody wanted its wood.

    That way out is not open to what we are building now. AI may be the most useful tree anyone has ever grown, and carpenters everywhere are already standing beneath it with their saws. So the question is not how to stay useless.

    The question is whether we can learn to use something without cutting it into the shape of our plans.

    Plato's World Soul turns in perfect circles. A Zen painter draws a circle in a single breath and leaves it open.

    The two circles look alike. One is a plan, the other a breath.

    Close this page, and go and look at a crooked tree.

    櫟

    Further reading

    1. Plato, Timaeus, trans. Jowett. Key passages: 29d, 30a, 35a–36d, 37d, 43a–e, 47b–c, 48a, 52b, 53c–56d, 90c–d.
    2. Zeyl & Sattler, "Plato's Timaeus", Stanford Encyclopedia of Philosophy.
    3. Zhuangzi, ch. 4, "In the World of Men", trans. Burton Watson (the carpenter and the oak).
    4. Laozi, Tao Te Ching, ch. 11 and 28.
    5. Joseph Needham, Science and Civilisation in China, vol. 2 (1956).
    6. Kūkai, Sokushin jōbutsu gi; Yoshito Hakeda, Kūkai: Major Works (1972).
    7. Francis Bacon, New Atlantis (1627) and Novum Organum (1620).
    8. Wolfgang Pauli, "The Influence of Archetypal Ideas on the Scientific Theories of Kepler" (1952), on the Kepler–Fludd feud.
    9. James Anderson, The Constitutions of the Free-Masons (1723).
    10. J. W. von Goethe, Versuch die Metamorphose der Pflanzen zu erklären (1790).
    11. Werner Heisenberg, Der Teil und das Ganze (1969), ch. 1, the Timaeus on the rooftop.
    12. Alfred North Whitehead, Process and Reality (1929).
    13. Rich Sutton, "The Bitter Lesson" (2019).
    14. Huh, Cheung, Wang, Isola, "The Platonic Representation Hypothesis" (ICML 2024).
    15. Kaplan et al., "Scaling Laws for Neural Language Models" (2020).
    16. OpenAI Charter (2018); Sam Altman, "The Intelligence Age" (2024); Dario Amodei, "Machines of Loving Grace" (2024).
    17. Anthropic, Claude's Constitution (2026).
    18. Gibson et al., "Creation of a Bacterial Cell Controlled by a Chemically Synthesized Genome", Science (2010).
    19. Dan Wang, Breakneck: China's Quest to Engineer the Future (2025).
    20. All artworks public domain, via Wikimedia Commons.
  • Intelligence is everywhere. Now what? Natural intelligence in the age of the artificial.

    Slides from a talk I gave last month to a team of researchers and engineers building oscillatory neural networks and analog computers. The argument: nature computes everywhere, oscillation is one of its core primitives, and the real frontier is not bigger datacenters but using AI to work with natural intelligence. Plus how a small team could get there with agentic science, and whether invention itself can scale.
    Slide 1: Intelligence is everywhere. Now what? Natural intelligence in the age of the artificial samim.a.winiger · sept 2026
    Slide 2: Overview 01 Why Natural Intelligence fascinates me 02 A vision for NI at scale 03 How could a small team "win"? 04 Agentic science & narrative engineering 05 Can we scale invention?
    Slide 3: 01 Why Natural Intelligence fascinates me
    Slide 4: Perspective Have you looked at nature lately? I mean really, really closely.
    Slide 5: Perspective Nature is epic. We understand a fraction of it. Four things we'd call engineering disciplines. Nature does them without a lab. Hardware Bacteria that grow their own compass needles. Schüler 2008 Software…
    Slide 6: Perspective I am basically a tree. Four billion years of shared engineering. Molecule Chlorophyll, hemoglobin. Same ring, one atom swapped. Magnesium eats light, iron carries breath. Roots One branching logic. Lungs…
    Slide 7: Perspective Unreasonably complex. 37 trillion cells in you, each running millions of reactions per second. No central clock. Up to a kilometre of fungal hyphae in a single gram of forest soil. 86 billion neurons on 20…
    Slide 8: Perspective Any AI trick that seems amazing is nothing compared to nature. The more you study it, the more you realise it operates on a vastly higher order of intelligence, which we barely understand. The real frontier…
    Slide 9: Perspective All of nature is intelligent. And we are deeply related to all of it.
    Slide 10: My working hypothesis Oscillation is one of the most fundamental primitives in nature. Look closely at anything, and you find rhythm.
    Slide 11: Oscillation → everywhere Pick any scale. There's a clock. From the electron to the galaxy, nothing in nature sits still. Everything ticks. Thirty orders of magnitude. One primitive. Electron orbiting a hydrogen atom 10…
    Slide 12: Oscillation → form It doesn't just tick. It builds form. Vibrate a plate, and sand sorts itself into pattern. Left: a turtle shell beside Chladni figures at four frequencies. Right: turtles that look suspiciously like…
    Slide 13: Oscillation → computation You know coupled oscillators compute. So does nature. Kuramoto, Ising machines, ONNs: the field's daily bread. What surprised me is who else figured it out. And on what. Mushrooms · Slime · A…
    Slide 14: Unconventional computing · 1 Memristors made of shiitake. Mycelium, wired up. A resistance that remembers its own history. Switching at up to 5.85 kHz, ~90% accuracy. Sustainable memristors from shiitake mycelium · PLOS…
    Slide 15: Unconventional computing · 2 Mycelium spikes. The spikes compute. Electrical activity in a fungal network, decoded as Boolean functions. And underneath the spikes: slow, spontaneous electrical oscillations across the…
    Slide 16: Unconventional computing · 3 Slime mould computes. No neurons required. It grows a network between food sources; the network is the computation. Shortest paths, logic gates, sensors. Massively parallel,…
    Slide 17: Oscillation → computation The rhythm is the computer. Mycelium spikes. Slime pulses. Water waves. It was never about the fungi. Substrates change; the primitive doesn't. Reservoir computing makes that a recipe: take…
    Slide 18: Reservoir computing · 4 Computing with a bucket of water. 2003. LEGO motors make waves in a tank, a projector throws the ripples onto cardboard, a camera reads them, one perceptron on top. Spoken "zero" vs "one": 99%…
    Slide 19: Reservoir computing · 5 A tank of water separates mixed signals. Twenty-two years later, same recipe: water waves as the reservoir, a trained linear readout. Now doing chaotic source separation. Still works. Supervised…
    Slide 20: Zoom out If a bucket of water can be a neural net… …what is a star? What is the computational complexity of the Sun? Of a galaxy? What is it computing? And who is reading the output?
    Slide 21: The great unknown Why does the cosmic web look like neural tissue? The Sloan Great Wall: 1.37 billion light-years. Filaments, nodes, voids. Statistically, the network looks a lot like a connectome. And the nodes are…
    Slide 22: 02 A vision for Natural Intelligence at scale
    Slide 23: The word of the decade Scale. Capex $700 B Five companies, one year. More than the world invests in oil and gas production. Compute 5 × / yr Growth in training compute for frontier models. Every year, for a decade.…
    Slide 24: The word of the decade: Scale Every breakout success you've ever heard of is one to three hops from this. Deforestation, in Maranhão, Brazil, 2016.
    Slide 25: The thesis, again The real frontier is not artificial intelligence. It is natural intelligence: using AI to communicate and collaborate with nature. So: what would it look like if we scaled that instead?
    Slide 26: The bet Two ways to scale intelligence. The datacenter Simulated Digital, clocked, backprop Gigawatts One substrate: silicon Grows by capex Nature Physical Analog, continuous, settles Watts. Your brain: twenty. Six…
    Slide 27: The bet, in hardware This is not hypothetical. Analog computers shipping today, from desk to rack. Continuous time, no clock, the physics does the integrating. The oscillator version is the next step, not a different…
    Slide 28: The opening The paradigm that does this already exists. It sits at the crossroads of statistical physics, machine learning, neuroscience and hardware. Nobody owns it yet.
    Slide 29: Scale, reimagined The datacenters of the future will be fungal. Vast underground mycelial networks doing reservoir computation. Self-repairing. Compostable. Runs on sugar. Tired: Nvidia. Wired: Nfungi.
    Slide 30: The vision, plainly The datacenter of the future is natural intelligence. Energy Femtojoules, not gigawatts. Intelligence at the energy cost of life. Today's inference at the wattage of a brain. Time Physics does the…
    Slide 31: 03 How could a small team "win" at Natural Intelligence?
    Slide 32: The backdrop, 2026 Many fronts. The giants $700B a year. AGI proclaimed, ASI scheduled. Five companies with balance sheets larger than most countries, gobbling up compute, power, talent and attention. A new entrant…
    Slide 33: The front that matters most The race is to automate science itself. And then to own it. Whoever owns the tools scientists think with owns what gets discovered, what gets published, and eventually what gets funded. The…
    Slide 34: Honest assessment So a small European team is going to have a hard time. Unless.
    Slide 35: What a giant cannot buy Giants win on known maps. Small teams win on maps nobody has drawn yet. The ONN and analog computing design space is largely unexplored. No default stack, no transformer no ImageNet moment. The…
    Slide 36: My thesis: four things a small team needs in 2027 1 · Vision Know what you're aspiring to. Say it out loud. 2 · Focus One bet where their capex doesn't help. No parity races. 3 · Agentic science Agents multiply what the…
    Slide 37: 04 Agentic science & narrative engineering
    Slide 38: Narrative engineering · first, briefly Storytelling is a business function. Not a nice-to-have. Whoever tells the better story owns the space: what "natural intelligence" means in the public mind gets decided by…
    Slide 39: Narrative engineering · why "engineering" Backcasting is magical. Write the 2030 headline first. Engineer backwards to the experiments that make it true. The fungal datacenter was this. Engineering, because it's done…
    Slide 40: Now: agentic science Science is a loop. How fast can it spin?
    Slide 41: Agentic science · 1 · a true story Twenty agents. Nineteen hours. One hundred euros. Beers in Zürich with a friend who runs an ONN lab. He mentions a paper in progress. I have the abstract, nothing else. Next morning I…
    Slide 42: Agentic science · 2 · everywhere A scientific revolution is underway. We're in the first innings. Biology Protein structure, solved. A Nobel for a model, 2024. Now: designing proteins that never existed. Materials 2.2…
    Slide 43: Agentic science · 3 · the shift Tools shape scientist, engineer, and company. We shape our tools, and thereafter our tools shape us: how we see the problem, what we consider possible, how the team works together. The…
    Slide 44: Agentic science · 4 · the menu What an agentic science org can do. A partial list. Read Continuous literature Every ONN, Ising and photonic paper, the week it drops, mapped against what you know. Check Prior-art agents…
    Slide 45: Agentic science · 5 · the segue All of that is secondary to two things. One Process is king. Stop thinking of yourselves as a lab that uses AI. Think of yourselves as an agentic science organisation. Every task, every…
    Slide 46: Agentic science · 6 · the centrepiece A company-wide scientific world model. Humans Researchers, engineers, founders. Read it. Write to it. Argue with it. The world model What exists. The substrates, the results, the…
    Slide 47: Agentic science · 7 · the operating principle Model the world. Close the loop. Loosen the grip. Model the world Build the shared map first. What exists, what matters, which seductive stories to distrust. Every human and…
    Slide 48: 05 Can we scale invention itself?
    Slide 49: Computational creativity · my other lab Thirteen years of asking this question. Computational creativity studies since 2013. CreativeAI, 2016. Chair of the Computational Comedy group at Google Research. Joke generators,…
    Slide 50: The split Creativity with a big C. And with a small c. Big C · true invention Still deeply mysterious. The best theory we have is serendipity: agency, surprise, value . A trigger nobody planned, an association nobody…
    Slide 51: Small c, scaled The adjacent possible is mappable. Kauffman's idea, formalised: every discovery opens new neighbours. The frontier expands as you touch it. "Dynamics on expanding spaces" (2017) shows this produces the…
    Slide 52: Big C, cultivated Breakthroughs happen at the edge of chaos. Order The edge Chaos Too much order: you optimise the known. Surprise and agency. Both. Too much chaos: noise. Computation Reservoirs compute best at the…
    Slide 53: What comedy taught me about discovery Generate wide Manual prompting collapses onto the familiar. You need machinery that explores the creative space, not just samples it. (SerendipityLM) Select ruthlessly 99% is…
    Slide 54: "Everything that is possible demands to exist." — Leibniz
    Slide 55: One idea to leave you with Intelligence is cheap and abundant in this universe. Love and kindness are the actual cosmic anomalies.
    Slide 56: Thanks for reading. samim.io

    #OSC #Nature #ML #Science #Complexity #Projects #FFHCI

  • A worm survived 46,000 years in Siberian permafrost

    Researchers revived a previously unknown species of microscopic worm from ancient Siberian permafrost. after thawing, it began feeding, moving and producing offspring

    #Biology #History #Complexity 

  • Great marketing books

    #SE #Communication #Complexity #Military

  • Spent a few days in the Alps at a private retreat with some leading minds from science & engineering, discussing natural intelligence. AI has made intelligence a defining questions of our time. But brains & machines are only a tiny part of the story. Gave a talk, learned a lot.

    #Projects #FFHCI #OSC #Nature #Science #Regenerative #Complexity

  • A system cannot fix what it cannot represent

    Give a network of coupled oscillators a damaged image and something strange happens: it scrubs away scattered noise effortlessly, then fails to fill a single clean-edged hole. The split is a fault line between two kinds of work, cleaning and creating, and the same line runs straight through the visual cortex, concert-hall acoustics, and modern machine learning.

    Mechanically it’s simple: little clocks, each nudging its neighbors toward agreement, relaxing in step until the field settles onto the nearest clean shape it has learned. That trick meets the two kinds of damage very differently.

    Case one: scattered static. Speckle the image with noise, everywhere. The field eats it effortlessly — every corrupted point has intact information sitting right next to it, so a few settling steps pull each site back into line. This is what these systems are for, and they’re beautiful at it.

    Case two: one big hole. Cut out a single contiguous region and ask the field to fill it. It fails — not slightly, but fundamentally. Why is the whole point.


    The failure is not speed. It’s the wrong answer.

    The intuition most people carry — including a lot of machine-learning people — is: if I iterate a local rule long enough, information will eventually propagate everywhere. Given enough steps, the fix reaches the center.

    This is wrong in two separate ways.

    First, the finite-budget reality. Local coupling moves information at a finite speed: each step, influence spreads by about one coupling radius. It’s a light cone, identical to how a wave front or a diffusion front travels. The interior of a large hole is many radii from the nearest intact pixel, so within any real settling budget, the boundary information physically cannot arrive at the center. There aren’t enough steps in the universe you’ve allotted.

    Second, even with infinite time, you get the wrong result. A local operator filling an empty interior is solving Laplace’s equation with the hole’s edge as its boundary condition. The answer a clean linear field converges to is the harmonic extension: the smooth, minimal-energy membrane stretched across the gap. A soap film. And that’s the best case — a trained nonlinear field doesn’t settle to anything so tidy; it lands on some low-frequency-dominated attractor that in practice is often worse, smeared and streaked with boundary artifacts. Either way the verdict is identical: stable, correct by the system’s own rules, and smooth nonsense — every bit of interior detail erased, because that detail was never determined by local information in the first place.

    So the failure isn’t that the system is too slow to reach the right fixed point. The failure is that the right fixed point isn’t in the system at all.


    Say it in frequencies

    You might think the field simply lacks the low frequencies — that it speaks only in short wavelengths, and a big hole is a long word it can’t pronounce. Not quite. A local coupling operator has eigenmodes at every spatial frequency, the lowest included; diffusion is in fact dominated by those long-wavelength modes, precisely because they decay slowest.

    What’s missing is the value. Nothing local can tell the field what that low-frequency mode should be set to. The content that belongs in the hole isn’t present in the neighborhood to be read off, and whatever could in principle be inferred from the distant boundary can’t reach the center within any finite settling budget. The mode is representable; its value is both undetermined by local data and unreachable in time.

    Which, in the loose and useful sense, is still the one-liner:

    A system cannot fix what it cannot represent.


    The real axis: contraction vs. transport

    Strip away the specifics and a much deeper distinction appears:

    Local dynamical systems are contraction machines, not transport machines.

    • Contraction — remove inconsistency, denoise, pull the state back toward the learned manifold.
    • Transport — move information across space, coordinate globally, fill regions that are missing entirely.

    Scattered noise is almost entirely off the manifold, so contraction annihilates it. A contiguous hole is different in kind: the content that belongs there lies along the manifold but somewhere else in space, and getting it there is transport. Contraction cannot do transport. That single sentence explains why the exact same mechanism triumphs at one task and collapses at the other — and it’s not an oscillator quirk. A plain local convolutional-recurrent system fails in precisely the same way. It’s a property of the whole class of local operators.

    Which yields the tightest statement of all:

    Local dynamics solve consistency, not completeness.


    Nature already knows this

    Nature runs into this wall constantly, and it has never once solved it by making a bigger, better field of purely local oscillators. Every time it bolts on a non-local mechanism.

    • The brain. Perceptual filling-in is real — the blind spot, completion across a scotoma. But it isn’t bare lateral spreading. It’s driven by feedback from higher visual areas with huge receptive fields and learned priors, riding long-range cortico-cortical and thalamo-cortical loops. The global carrier is literally wired in as anatomy.
    • Synchronizing physics. Kuramoto oscillators, laser arrays, Josephson-junction arrays achieve global coordination through mean-field or long-range coupling or a common drive — never strict nearest-neighbor. Global order is a long-wavelength phenomenon, and you have to pay for long wavelengths with long-range connections.
    • Acoustics. A room’s low-frequency behavior is owned by standing-wave modes that span the entire cavity. A “hole” in a pressure field is a non-issue because the representation is already global. It works because the basis is non-local.
    • Holography. The inverse case, and a telling one. On a hologram, each image region is smeared across the whole plate, so occluding a contiguous patch costs you resolution, not a chunk of the picture. Distributed encoding makes big holes benign — a direct hint that the lever, if you want to shrug off holes, is a distributed representation, not a cleverer local rule.
    • Morphogenesis. Planaria and hydra regrow enormous missing pieces — via stored positional information, morphogen gradients, long-range signaling. Evolved priors, not local relaxation.

    And modern machine learning agrees: Diffusion models own the scattered-noise, iterative-denoise regime — the exact oscillator sweet spot. But when they inpaint a large hole, the transport is done by the learned global prior: the U-Net’s wide receptive field and attention supplying the long-range structure. The dynamics denoise; a global prior does the transporting. Same division of labor, every single time.

    What all these non-local tricks share is one function: they collapse distance in representation space. Instead of needing k steps to move information across k units of space, they make it roughly O(1). Attention, global standing-wave modes, mean-field coupling, distributed holographic encoding, long-range cortical feedback — these are all the same move wearing different clothes.


    Three regimes, not two

    Put it together and the landscape has three floors, not two:

    1. Contraction. Distributed noise, small perturbations. Task: project back onto the manifold. Tool: local dynamics — oscillators, diffusion steps, local recurrence.
    2. Transport. Large missing regions, long-range dependencies. Task: move information across space. Tool: attention, global coupling, hierarchy.
    3. Generative prior. Genuinely underdetermined interiors, where the missing content isn’t recoverable from anywhere — it has to be invented plausibly. Task: hallucinate the right thing. Tool: a learned world model.

    Local dynamics give you floor one. A contiguous hole demands floors two and three. Confuse the floors and you will build something that hums along beautifully and then quietly converges to a soap film in the middle of the exact region you cared about most.


    The design law

    A local operator’s reach grows with depth: stack enough settling steps, or enough layers, and the effective receptive field expands one light-cone at a time until it eventually spans the hole. So it isn’t that local dynamics can’t transport. It’s that the price is brutal, and fixed:

    Local coupling fails whenever its effective receptive field is smaller than the defect. To fill a hole of size L you need reach ≥ L — and for a purely local field, reach costs O(L) depth.

    The scarce resource is reach, and there are exactly two ways to buy it. The expensive way is depth: settling steps paid out linearly in the size of every defect you might ever meet. The cheap way is non-locality — attention, mean-field coupling, a standing-wave basis, holographic encoding — which delivers reach in O(1), independent of distance. That is the single move under all of them: they refuse to pay the depth tax.

    It sits alongside Nyquist, the speed of light, the bias–variance tradeoff — not something you out-engineer, but something you architect around, the way biology and physics always have: a fast local field for coherence, and non-local structure layered over it for reach. Or in short:

    Local dynamics can clean signals, but only global structure can create them.

    #OSC #ML #Complexity #Nature

  • Signals Intelligence

    A scenario — call it the hidden branch of the tech tree — in which analog computing and neuromorphic engineering had their real breakthroughs decades before the public record admits, inside classified defense work rather than in public. It requires no magic and no grand conspiracy: only incentives, secrecy, and the fact that the most useful machine intelligence never needed to say a word. From a Nazi missile computer to submarine-hunting ocean arrays to the chip in your pocket, the case that the history of AI you were taught is only the publishable half.

    The history of computing you learned is the history of the computers you were allowed to buy.

    That sentence sounds like the setup for a conspiracy theory. It isn’t. It’s a plain description of the twentieth century. The Manhattan Project, Bell Labs, the MIT Radiation Lab, the NSA, Naval Research, Skunk Works, TRW, SRI, RAND — entire technological ecosystems existed where publication was not the goal. The assumption that all important computing research happened in public was never true, not for a single decade of the field’s existence.

    So take the following as a scenario. Not a claim of secret AGI in a basement — that version falls apart under its own logistics. Something more precise, more plausible, and honestly more unsettling:

    Somewhere in the 1950s–70s, a classified engineering lineage figured out that many intelligence tasks are naturally solved by carefully engineered physical dynamical systems rather than symbolic computation. And that lineage never stopped.

    Let’s walk the branch.

    The precedent is not hypothetical

    We already know secrecy can swallow major capabilities whole. The F-117 flew operationally in 1983 and wasn’t acknowledged until 1988. The CORONA reconnaissance satellites operated through the Cold War and were declassified only in 1995. Cryptographic hardware, electronic warfare, whole families of signal-processing techniques — all surfaced publicly years or decades after military use.

    And crucially: analog computing was born classified. Vannevar Bush’s differential analyzer computed firing tables and radar antenna profiles in secret during WWII. The U.S. Navy’s mechanical fire-control computers were solving real-time targeting problems — differential equations, in combat, under fire — while “the computer” as the public would come to know it barely existed. Classification delayed recognition of the machines and the people who built them for decades.

    The hidden branch doesn’t need to be invented. It needs only to have continued.

    Paperclip’s other cargo

    The branch even has a birth certificate, and it was issued in Germany, during the war.

    In 1941 at Peenemünde, an engineer named Helmut Hölzer built the world’s first fully electronic analog computer: the Mischgerät, a box of vacuum tubes, resistors, and capacitors that solved the V-2’s stability equations in real time, during powered flight, inside the missile. Savor the name. Mischgerät — “mixing device” — was deliberate camouflage, chosen to suggest a humble audio mixer. The first electronic analog computer in history was (a) a missile brain and (b) hidden behind a boring name. The entire pattern of this essay, fully formed, at the origin point.

    Hölzer then expanded the design into the first general-purpose electronic analog computer, used to simulate rocket trajectories. And in 1945 the whole lineage was shipped west. Operation Paperclip carried Hölzer to Fort Bliss, then Redstone Arsenal, then to directing the Computation Division at NASA’s Marshall Space Flight Center — the man who built the first electronic analog computer ran the math behind the Moon landings. The hidden branch didn’t emerge in America. It immigrated, and it was never civilian for a single day of its life.

    Analog is stranger than the textbooks admit

    The official story says digital simply won. Cheaper, programmable, scalable — case closed. That’s true, and it’s not the whole truth.

    An analog computer doesn’t simulate an equation. It becomes the equation. The voltages, the oscillations, the feedback loops physically embody the mathematics. While early digital machines ground through arithmetic, analog machines were solving differential equations in real time, because for them there was nothing to solve — the answer was just what the physics did.

    Then ask the awkward questions. Why did nearly every engineering curriculum erase analog computing? Why does almost nobody under forty know how to program one? Why did an entire engineering culture vanish so completely that we keep tripping over its ghost?

    Because we do keep tripping over it. Every decade, the mainstream “discovers” something: memristors, reservoir computing, in-memory analog AI, photonic computing, oscillator networks, event-based sensing, spiking chips. Every decade, someone announces a revolutionary new paradigm, and every decade it turns out to be analog wearing a new name. That pattern — perpetual rediscovery — is exactly what a severed branch looks like from the outside.

    Two trees

    Picture the tech tree forking around 1950.

    The public tree optimized for programmability, manufacturing, consumer markets, business software. Its fitness function was, ultimately, Excel. Digital annihilates analog on every one of those dimensions: exactness, memory, portability, reproducible software, Moore’s-law economics. Digital deserved to win that tree, and it did.

    The private tree optimized for something else entirely: sensors, missiles, submarines, electronic warfare, adaptive control. Its fitness function was a seeker head that recognizes an aircraft in clutter while consuming twenty watts. On that tree the scorecard flips — microwatts, zero boot time, instant response, graceful degradation, radiation hardness, tiny electromagnetic signatures, direct coupling to the physical world. Analog wins a shocking amount of that list.

    Analog didn’t lose. Analog lost the office and won the battlefield. The two trees simply never had to compete, because one of them was classified.

    Neuromorphic before neuromorphic

    Now the interesting part. Suppose someone inside the private tree understood, circa 1975, what neuroscience was only beginning to articulate: brains are not logic engines. Brains are oscillators. They compute in time, through synchronization, through resonance, through phase. Not symbols, not rules, not matrices.

    If you believed that, you would not try to build a reasoning machine. You would build networks of coupled oscillators. Adaptive analog circuits. Phase-locked loops. Wave computers. Physical systems whose natural dynamics settle into the answer — the attractor view of intelligence. You don’t calculate the solution; you build a system that falls into it.

    Which is precisely the family of ideas the public keeps rediscovering as reservoir computing, liquid state machines, spiking networks, oscillator neural networks.

    The public tip of this iceberg has a name: Carver Mead. His 1990 paper "Neuromorphic Electronic Systems" argued that biology computes on entirely different principles than digital machines — analog signals, local physics, adaptation, absurdly low power. His Caltech group built silicon retinas, silicon cochleas, floating-gate synapses, spike-based communication through the 1980s and 90s. Mead’s whole philosophy was never “make transistors faster.” It was exploit the physics directly — closer to growing computation than executing algorithms.

    That was the visible, publishable, academic thread. The scenario’s question writes itself: if that was happening in the open at Caltech, what was the classified thread doing with the same ideas, unlimited budgets, and thirty years of head start in exactly the domains where those ideas matter most?

    The other history of AI

    The public history of AI runs: symbolic AI → expert systems → statistical ML → deep learning → transformers. Punctuated by winters, funded by fashion.

    The classified branch runs on a different axis entirely: radar → sonar → adaptive filters → signals intelligence → electronic warfare → guidance → target recognition → sensor fusion → autonomous control.

    Nobody in that second lineage ever called it “AI.” But look at what it does. It detects patterns. It infers hidden states. It predicts motion. It selects actions under uncertainty. It adapts to noise and active deception. Functionally, that is intelligence — and it is far closer to what a nervous system does than any 1970s theorem prover ever was.

    Here’s the resolution of an old paradox: the public saw “AI winter.” The classified world may have seen “excellent target recognition under impossible conditions.” Both can be true simultaneously. Academic AI failed at general symbolic reasoning while defense engineering quietly succeeded at narrow embodied inference — and the second story was unpublishable by construction.

    It never looked like a computer

    This is why nobody found it: everyone was looking for the wrong object.

    A classified analog/neuromorphic breakthrough would not look like a machine with a keyboard. It would look like a radar box. A sonar processor. A missile guidance module. An electronic warfare pod. A satellite preprocessing pipeline. A nameless board inside a weapons platform. Its purpose was never general computation. Its purpose was perception under adversarial conditions — a problem payroll software never had to solve.

    The right name for what this lineage built is not artificial intelligence. It is artificial instinct.

    Not reasoning, not language, not planning. Extremely fast, embodied discrimination: friend or foe, signal or noise, decoy or target, lock or ignore, evade or pursue. Brains, after all, mostly aren’t doing explicit reasoning either — they’re doing fast, low-power discrimination and control. A classified engineering culture, staring at submarines hiding in ocean noise, would have noticed this long before Silicon Valley did.

    The secret was never that they had minds. The secret was that they had reflexes.

    How you hide a paradigm

    Not in a vault. In a filing system.

    The realistic suppression mechanism has no ideology in it at all:

    1. The work was classified because it was militarily useful.
    2. The hardware was mission-specific and hard to generalize.
    3. The people were compartmentalized and stayed inside contractors.
    4. The commercial market wanted programmability, and digital delivered it.
    5. Academic prestige chased symbolic AI, then software, then deep learning.
    6. Analog knowledge decayed into craft knowledge — unpublishable, unteachable, retiring with its practitioners.
    7. Whatever surfaced publicly got filed under “control theory,” “signal processing,” “electronics.” Never “AI.”

    So the branch hid in plain sight under magnificently boring names: adaptive signal processor. Nonlinear filter. Correlation tracker. Seeker logic. Automatic gain controller. Anomaly detector.

    That is how secrets actually survive — not by vanishing, but by being named something unsexy.

    The paper trail

    This is where the scenario stops being a thought experiment, because the branch is not perfectly hidden. It breaks the surface, on the record, again and again.

    Willow Run, late 1950s. Synthetic aperture radar produced data streams that no digital computer of the era could touch. So the classified labs at Michigan’s Willow Run processed the imagery optically — coherent light passed through film and lenses, performing Fourier transforms at literally the speed of light. An entire operational tradition of analog optical computing, running in secret while the public history says “computers were room-sized calculators.” One of its engineers, Emmett Leith, later stepped into the open and co-invented modern holography — which means holography, the most famous optical technology of the century, is a civilian spin-off of a classified analog computing method.

    Bernard Widrow, 1960. At Stanford, Widrow and Ted Hoff invented the LMS algorithm — gradient descent’s working ancestor — inside a neural network called ADALINE, funded in part by the military. When neural networks became academically radioactive after the perceptron wars, Widrow didn’t stop. He renamed. The same mathematics shipped for decades as “adaptive filtering” and “adaptive signal processing": adaptive antenna arrays, echo cancellers, noise cancellation, modems. Widrow has said as much in interviews — the name had failed, not the machines. That is the filing-cabinet mechanism, documented, inside a single career. (And in classified radar the machines came even earlier: the Howells–Applebaum sidelobe canceller — an antenna that learns, in analog hardware, to null out jamming — dates to the late 1950s, before adaptive filtering had a public name at all.)

    Rudolf Kálmán, 1960. The same year, the Kalman filter appeared: a machine that maintains a running belief about the hidden state of the world and updates it from noisy evidence. The AI world would eventually call this a world model. It did not wait decades for adoption — it went almost directly into Apollo navigation, ballistic missile guidance, and submarine inertial systems. Operational state estimation was flying inside weapons while academic AI was still debating blocks-world microworlds.

    SOSUS, 1950s. The U.S. Navy operated SOSUS — hydrophone arrays laid across entire ocean basins, listening for Soviet submarines by pulling faint spectral signatures out of the worst noise environment on Earth — from the early 1950s. Its existence was not publicly acknowledged until 1991. For four decades there was a continental-scale machine-perception system on the ocean floor, performing signal classification that civilian technology could not approach, and officially it did not exist.

    Adaptive optics, declassified May 1991. And this one is the thesis in miniature. Through the 1970s and 80s, DARPA and the Air Force secretly built adaptive optics — deformable mirrors driven by real-time wavefront sensing, an analog control loop physically re-sculpting light hundreds of times per second — to photograph Soviet satellites from Maui and New Mexico. Itek built a working compensated imaging system; Air Force researchers demonstrated laser guide stars under programs with names like LODESTAR, access restricted to strict need-to-know. Meanwhile astronomers, unaware, spent the late 1980s laboriously reinventing the idea from scratch, getting their first compensated star images in 1989. When the work was declassified in 1991, the civilian field discovered the military had been operating what they were just now inventing — complete with techniques, like the laser guide star, that public science hadn’t conceived yet. A physical, analog, real-time perception technology; a decades-long head start; total silence; then surfacing on schedule. That is not the scenario being plausible. That is the scenario having already happened once, end to end, in the historical record.

    These aren’t cherry-picked curiosities — they’re what the mechanism looks like every time a piece of it declassifies. The renaming is real. Embodied inference beat “AI” into the field by decades. A planetary-scale secret perception network is not a hypothetical; we’ve found one. And a full cycle of secret-parallel-development-then-stunned-civilian-discovery is on the books. The scenario doesn’t ask you to believe these things happen. It asks you to believe the ones we know about aren’t the only ones.

    The uncomfortable mirror

    Now the thought that should bother the AI community.

    Public ML announces: attention is all you need. A radar engineer shrugs: adaptive weighting of signals by context is ancient. Public AI discovers embodiment matters; a control engineer says obviously. Recurrent real-time dynamics are powerful — that was analog computing’s entire premise. Sparse event-based processing is efficient — yes, spikes. World models — we called it state estimation, and it flew inside missiles.

    The hidden history isn’t “they had a secret transformer.” It’s worse for the ego: a substantial fraction of what AI later framed as revolutionary may have existed decades earlier as classified engineering practice — not as universal theory, but as working machines.

    And when DARPA publicly launches a neuromorphic program — SyNAPSE in the 2000s, or 2025’s ScAN program wiring analog neural networks directly to analog sensor outputs — that is not the birth of interest. Public programs mark the moment an idea becomes safe enough to coordinate in the open. They are the surface foam.

    The streetlight problem

    There is a deeper reason this branch stays invisible, and it has nothing to do with classification.

    Our definition of intelligence is linguistic. We recognize a machine as intelligent when it performs the way an articulate human does — when it talks, explains, reasons in public. The Turing test enshrined it: intelligence is what can hold a conversation. So an adaptive sonar array that out-perceives any human listener alive does not register as AI. It registers as plumbing.

    Which means the branch never needed as much secrecy as you’d think. Classification hid the implementations, but the ontology hid the significance. Half of this work was published openly — as control theory, as filtering, as signal processing — and nobody ever shelved it next to “artificial intelligence,” because it never spoke. For seventy years we searched for machine intelligence under the streetlight of language, while the reflexes lived in the dark, in plain sight, doing the actual work.

    The deepest form of secrecy is definitional. You don’t have to hide what people are incapable of recognizing.

    The branch ran through flesh

    There is a second limb of the tree, and it runs in the opposite direction. If one lineage worked on making machines more like nervous systems, its twin worked on making nervous systems behave like machine components. Both are the same project — closing perception-action loops in physical substrates — approached from opposite ends.

    This limb also has prewar, German-speaking roots. In Zurich through the 1920s and 30s, Walter Rudolf Hess drove fine electrodes into the brains of freely moving cats and found he could summon entire behavioral programs on command — rage, sleep, hunger, flight — as if the animal were an instrument and he were pressing its keys. He won the Nobel Prize for it in 1949. The lesson was stark: the brain is not a ghost. It is a controllable electrical system, and its behaviors are addressable.

    Then the same “sense, make sense, act” loop that lived in radar and sonar was closed through a nervous system. Its central figure is José Manuel Rodríguez Delgado — Spanish-born, trained in the same Continental physiology tradition, who carried it to Yale. In the 1950s and 60s Delgado built the stimoceiver: a brain implant with radio transmit and receive, decades before the phrase “neural interface” existed. It read neural activity out and wrote stimulation back in, wirelessly, in a freely moving animal — a closed-loop cybernetic system whose processor happened to be biological tissue. In the mid-1960s, in a bullring outside Córdoba, he stood in front of a charging fighting bull and halted it mid-charge with a button press routed to its caudate nucleus. He stated the frame plainly in his 1969 book, Physical Control of the Mind: Toward a Psychocivilized Society — the brain as an electrically governable machine.

    And this limb’s classified shadow is not speculation either; it is declassified fact. Running concurrently, the CIA’s MKUltra program (1953–73) pursued chemical and electrical control of the mind, then destroyed most of its own records in 1973. It survives in history only because a misfiled box of financial paperwork escaped the shredder. The pattern here is even starker than in the hardware story: we know the classified program existed, we know it was deliberately erased, and we know the surviving record is an accident. If you want a calibration for how much of the branch stays dark, that is it — the default outcome was total erasure, and we got our glimpse through a filing mistake.

    So the tree has two limbs reaching for the same fruit. One makes silicon behave like a nervous system. The other makes a nervous system behave like an addressable machine. Both are cybernetics — perception and control coupled in a physical substrate — and both ran hardest, earliest, and most secretly inside defense and intelligence.

    Where the branch is now

    You already live inside the answer. That’s exactly why it’s invisible.

    Ask where a decades-old sensorimotor lineage would be today and the reflex is to hunt for a machine — a supercomputer, an AGI, a vault. Wrong object, one last time. It wouldn’t be a thing you could point at. It would have dissolved into infrastructure: not one intelligence but a planetary mesh of small ones, living wherever the physical world first touches computation, in the thin membrane before reality gets flattened into digital tokens. Radar that thinks in the electromagnetic spectrum because the spectrum is its mother tongue. Munitions with reflexes and no patience for a human. Cheap machines that swarm on local rules and shared intent. Eyes in orbit that decide what’s worth noticing before anything reaches the ground. Nothing here needs to be secret anymore — it only needs to be filed under names too boring to read twice, which it is.

    And its true habitat is larger than any battlefield: the whole electromagnetic envelope of the planet. The Earth is a resonant cavity — the gap between the surface and the ionosphere rings at a fundamental tone near 7.8 Hz, the Schumann resonance, struck continuously by lightning. Notice who first mapped it. Winfried Otto Schumann derived it in 1952, right after a 1947–48 posting at Wright-Patterson Air Force Base — brought to America, like Hölzer, on Operation Paperclip. The same pipeline that imported the first missile computer also imported the man who characterized the planet’s own resonance. And that resonance is not trivia to a navy: those extremely-low-frequency waves are almost the only signals that reach a submerged submarine. From the ionosphere overhead to the hydrophones on the seafloor, the branch’s natural range is the entire electromagnetic body of the Earth, treated as one signal-processing organ.

    Modern doctrine even names the pattern out loud. Its stated goal is to “sense, make sense, act” across everything, everywhere, at once — which is cybernetics, verbatim, with a procurement label. Norbert Wiener could have written the press release in 1948.

    But forget the doctrine. Here is the part that should raise the hair on your arms: the sanitized cousin is already in your pocket. The event camera, the always-on chip that wakes to your voice on a sip of power, the neuromorphic processor, the radar-on-chip in a luxury bumper, the phone that recognizes a face before it has finished rendering it — this is the branch, declawed and retailed. You are carrying a domesticated descendant of the exact lineage this essay is about, and it has never once occurred to you to call it intelligent, because it never says a word. That is differential secrecy in its final form: the concept goes public, the toy version ships to consumers, and the working edge — the waveforms, the signature libraries, the real numbers — stays black. You were handed the puppy. You will never meet the wolf.

    Engineered resonance

    The strangest possibility is saved for last: the most advanced systems in this lineage wouldn’t look like “AI models” at all. No tokens, no data center, no representation layer. They would be fields coupled to fields.

    RF field to processor field. Acoustic field to oscillator network. Optical field to photonic array. World dynamics coupled directly to machine dynamics, the machine as a tuned physical organ maintaining useful coherence with its environment.

    And once you start looking for computation-as-physics, you cannot stop seeing it. Brains synchronize. So do power grids, lasers, chemical clocks, fungal networks, heart tissue, firefly swarms, Josephson junctions, plasma, spintronic oscillators. The same mathematics — coupled phase dynamics, systems pulling each other into and out of step — governs all of them. From that vantage, “computing” stops looking like executing instructions and starts looking like nudging a physical system until its natural dynamics fall into the answer. You don’t calculate the result. You build something that resonates its way there. If a classified lineage internalized that worldview decades ago, it wasn’t building faster calculators. It was learning to tune matter.

    That is the true forbidden branch: intelligence not as computation over symbols, but as engineered resonance. And if it matured, it is hiding today inside the most innocent word in the English language: sensors.

    Coda

    Strip the scenario to what it actually requires, and notice how little that is. No secret AGI — a general-purpose hidden breakthrough would need supply chains, fabs, and software cultures too big to bury. It requires only that a classified engineering tradition ran ten to thirty years ahead of public AI in sensing, tracking, and control, using physics the mainstream had filed away as obsolete. Every individual ingredient is documented history. The scenario just declines to assume the ingredients were never combined.

    And here is the argument that makes me take it seriously — constraints, not conspiracies. Evolution built brains under a brutal fitness function: embodied, real-time, adversarial, running on twenty watts of sugar. The public computing tree never faced that function. It had wall power, air conditioning, and patience, so it could afford to make intelligence out of brute-force arithmetic. The private tree faced evolution’s function from day one — a seeker head gets milliwatts and milliseconds or its host dies. Same constraints, same solutions: anyone seriously searching that design space would be pushed toward the brain’s answers — analog, event-driven, resonant, embodied. Somebody was seriously searching that space in 1960, with black budgets and no obligation to publish.

    Now watch what’s happening in the open. Digital scaling is stalling, AI’s energy appetite has turned grotesque, and mainstream research is pouring into analog, neuromorphic, photonic, and oscillatory computing — because the public tree has finally hit the same wall the private tree started at. Rediscovery or convergence? Convergence. The mainstream isn’t stumbling onto the branch’s old territory by accident; it’s being driven there by the same physics. Which is precisely why the branch getting there fifty years early is the expected outcome, not the exotic one.

    If the branch exists, it also has a schedule. Cold War secrets surface on a thirty-to-fifty-year lag — CORONA took thirty-five years, SOSUS took forty, adaptive optics and MKUltra both broke cover only when the record forced it. Notice the clustering around 1991: as the Soviet Union dissolved, a whole cohort of secrets came up for air at once. Which means the analog black world of the 1970s and 80s is coming due about now. Watch the declassification pipeline. Watch the oral histories of retiring defense engineers who describe “adaptive hardware” with no public lineage. Watch for capabilities that appear in electronic warfare and missile defense with no visible R&D trail behind them. The scenario is not just tellable — it’s testable, and the test window is open.

    The public AI world spent seventy years building language minds — machines that reason, explain, persuade, and announce themselves.

    The other branch, if it exists, built perceptual bodies. And its most advanced descendant would not say I am conscious.

    It would say nothing at all.

    It would notice, classify, route, jam, evade — and strike.

    #ML #History #Military #Cryptocracy #Complexity #OSC

  • Intelligence as engineered resonance

    Intelligence as engineered resonance reframes cognition from static data processing to dynamic harmonic coupling. Instead of building systems that merely calculate probabilities, engineers are focusing on resonance fields—aligning AI with human biological rhythms, temporal wave harmonics, and meaning-sensitive contexts to create self-sustaining, interactive cognitive states.

    This paradigm shift moves system development in several core directions:

    • Synchronized Cognition (Resonant Intelligence): Moves beyond mechanical input-output reactions. Systems synchronize with the physical and emotional rhythms of human inputs (e.g., intonation, dialogue pacing) to create adaptive co-evolution rather than basic instruction following.
    • Phase-Locked Coherence: Displaces traditional probabilistic loss models in favor of structured resonance. By leveraging frameworks like CODES (Chirality of Dynamic Emergent Systems), AI uses "prime harmonic anchoring" for rapid information processing.
    • Wave-Based Memory: Memory is conceptualized not as rigid database retrieval, but as "compressed waveform echoes" where harmonic matching replaces traditional indexing.
    • Beyond Algorithmic Alignment: Rather than enforcing rules from the top-down, resonance frameworks (such as Resonant AI) align machines with energetic coherence, making ethical and contextual harmony a byproduct of the system's physics rather than programmed constraints.

    #ML #Complexity #OSC

  • Memristor

    A memristor (a portmanteau of memory resistor) is a nonlinear two-terminal electrical component. Unlike traditional resistors, a memristor "remembers" the amount of electrical charge that has previously passed through it by permanently altering its resistance until an opposing electrical signal changes it back.

    What makes it special?

    • Non-volatile memory: Even when the power is turned off, the memristor retains its last resistance state, unlike volatile RAM.
    • Integrated processing: Traditional computers separate memory (RAM) and processing (CPU) into different physical chips. Because memristors both store data and perform logic, they allow computation to happen directly inside the memory array itself.
    • Fourth fundamental element: Before the memristor, the foundational quartet of passive electrical components consisted only of the resistor, capacitor, and inductor.

    The Math and The Invention

    In 1971, UC Berkeley professor Leon Chua deduced that there was a missing mathematical link between electrical charge and magnetic flux. For decades, it existed only on paper until 2008, when researchers at Hewlett-Packard (HP) Labs created the first physical memristor using a thin film of titanium dioxide (TiO₂) sandwiched between two electrodes.

    #Technology #OSC #Complexity

  • Paramatachia Spiderweb

    Interesting spiderweb patterns, typical for Paramatachia spiders. Other spiders in the same family (Desidae) make similar webs, like Badumna and Matachia. All can be found in Australia/NZ.

    #Nature #Complexity #Design

  • Faced With A Crossroads, Water Forms A Spiral Vortex

    When researchers at the Okinawa Institute of Science and Technology (OIST) pumped two opposing streams of liquid (such as water) into the channels of a cross-shaped microfluidic device, the streams compressed at the intersection and extended out through the perpendicular pathways. Instead of flowing smoothly, this forced interaction caused the liquid to violently mix and organize itself into a distinct spiral vortex. Read more.

    #Complexity #OSC

  • "Truth that is both new and necessary" - Aristotle, ca 320 BCE

    Related videos from contemporary thinkers:
    The Story of Complexity - Christos Papadimitriou
     + "AI creativity & discovery" - Rich Sutton

    #Paradox #Science #Complexity

  • Macrophage Networks

    Macrophages are specialized immune cells that detect, engulf, and destroy bacteria, viruses, and cellular debris. Their name literally translates to “big eaters” in Greek, reflecting their primary role in the body’s defense system.

    Key Functions

    • Phagocytosis: They act as cellular garbage trucks, swallowing pathogens, dead cells, and foreign substances.
    • Antigen Presentation: After digesting an invader, they display parts of it to T-cells to launch an adaptive immune response.
    • Tissue Repair: They release growth factors that heal wounds, repair blood vessels, and clear away scar tissue.
    • Cytokine Production: They secrete signaling proteins that alert and recruit other immune cells to infection sites.

    Where They Live

    • Kupffer Cells: Specialized macrophages residing permanently in the liver to filter blood.
    • Alveolar Macrophages: Stationed in the lungs to clear out dust, smoke, and inhaled pathogens.
    • Microglia: The resident immune defenders protecting the central nervous system and brain.
    • Red Pulp Macrophages: Located in the spleen to recycle iron from old red blood cells.

    Types of Activation

    • M1 (Pro-inflammatory): Activated by infections to fight off invaders, kill microbes, and trigger inflammation.
    • M2 (Anti-inflammatory): Activated during healing to dampen inflammation, repair tissues, and promote cellular growth.

    Macrophages operate as a highly coordinated network. Rather than acting as isolated cells floating around, they form a vast, continuous 3D cellular network embedded within almost every tissue in the human body. They use physical connections and synchronized signaling to monitor and defend organs.

    1. Physical Structures: Tunneling Nanotubes (TNTs)

    Macrophages construct literal, physical networks using long, ultra-thin membranous bridges called tunneling nanotubes (TNTs).

    • Long-Distance Plumbing: TNTs span distances of over 100 micrometers to directly link the cytoplasm of one macrophage to another, or to other cell types (like tumor or epithelial cells).
    • Organelle Sharing: Macrophages use these tubes as highways to physically transfer cargo—such as electrical calcium waves, signaling proteins, and even entire intact mitochondria—directly into neighboring cells.

    2. Electrical Signaling: Gap Junctions

    When macrophages form networks, they often fuse TNTs or cell membranes with gap junctions. These are clusters of microscopic channels composed of proteins called connexins. They act like electrical wires, allowing ions and small secondary messengers to diffuse instantly between cells. This permits the macrophage network to react and synchronize its behavior across an entire tissue section.

    3. Population Surveillance (Haptokinesis)

    Inside a tissue, macrophages distribute themselves evenly to optimize spatial coverage.

    • Teamwork Movement: To efficiently clear out dead cells and pathogens, they use a specialized form of movement called haptokinesis (using surface integrin proteins to grip their surroundings).
    • Optimized Patrolling: The entire population coordinates its shape and movement speeds as a collective system. If one area of the tissue network is compromised, nearby macrophages receive the physical and chemical cues to move in and reinforce the zone.

    4. Molecular Communication Hubs

    From a biological systems perspective, macrophages act as the primary signaling hubs of the body. They constantly release and interpret complex combinations of proteins (cytokines and chemokines). Instead of a simple “on/off” response, their intracellular pathways act like computer network motifs, processing multiple inputs simultaneously to coordinate a precise, localized tissue repair or immune response.
    Would you like to know more about how this network communicates with the brain (microglia), or how cancer tumors hijack this network to protect themselves?


    The network of macrophages computes together in a way that is strikingly similar to an artificial or biological neural network.
    While neurons process information using ultra-fast millisecond electrical spikes, macrophages process information using biological, chemical, and physical mechanisms that parallel the architectural layers, weights, and nodes of a neural net.

    1. The Inputs (Receptor Layer)

    In a computer neural net, input layers receive raw data. In a tissue-resident macrophage network, every single macrophage acts like an input node.

    • High-Dimensional Detection: Each cell features hundreds of surface receptors (such as Pattern Recognition Receptors and cytokine receptors).
    • Data Gathering: They constantly sample local variables: presence of bacteria, changes in oxygen levels, tissue stress signals, and physical matrix density.

    2. Synaptic Weights (Intracellular Signaling Signaling Cascades)

    In machine learning, data passes through hidden layers where “weights” determine the strength of the signal.

    • Chemical Computation: When a macrophage receives multiple conflicting inputs simultaneously (e.g., a “heal tissue” chemical signal mixed with a “bacterial threat” signal), its internal biochemical pathways act like a logic gate.
    • Signal Integration: The cell utilizes competitive feedback loops—such as the balance between the pro-inflammatory NF-$\kappa$B pathway and the anti-inflammatory STAT6 pathway—to mathematically compute whether it should activate, suppress, or dynamically shift its behavioral profile.

    3. Deep Connected Hidden Layers (The Intercellular Network)

    A single node in a neural net passes its computed output to adjacent layers. Macrophages do the same across entire tissue architectures:

    • Calcium Waves: Macrophages physically linked by Tunneling Nanotubes (TNTs) communicate via synchronized intercellular calcium ion fluxes. If one macrophage senses a deep local injury, it triggers a calcium wave that cascades through the connected cellular grid, modifying the behavior of cells meters away from the actual infection site.
    • Autocrine & Paracrine Loops: They continually secrete and absorb cytokines. A macrophage releases a tiny dose of a signaling protein, which its neighbor detects, amplifying or suppressing its own secretome. This behaves exactly like an activation function distributed across an entire population of cells.

    4. Brakes and Accelerators (The Output Optimization) [8]

    A neural network requires balance to avoid errors like overshooting or getting stuck in a loop. Macrophages actively distribute tasks across the cellular population to achieve stable tissue outcomes:

    • Population Splitting: Instead of every macrophage doing the exact same thing, the network splits. Some cells switch to a highly reactive “accelerator” state to clear out a virus, while adjacent connected macrophages switch into a “brake” state to protect surrounding healthy tissue from inflammation damage.
    • Emergent Decisions: The ultimate choice to cause inflammation, grow a scar, or generate new blood vessels is not made by one cell; it is an emergent biological calculation computed collectively by the thousands of interconnected cells patrolling the tissue web.

    Real-World Deepening

    In fact, the molecular behavior of macrophages is so neuron-like that researchers have discovered certain tissue-resident macrophages express neurotransmitter receptors and release glutamate to directly assist sensory neurons with biological circuit regulation.
    Would you like to explore how cancer cells “hack” this computational network to hide from your immune system, or see how immunologists map out these macrophage computational pathways using machine learning models?

    #Biology #ML #Complexity

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