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UHM Blog

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The Superintelligence Ceiling: Why SAD = 3 — and Why This Changes Everything

In 2014 Nick Bostrom published "Superintelligence," posing the main question of the decade a superintelligence capable of recursive self-improvement amplifies itself without limits — and becomes incomprehensibly powerful. "Intelligence explosion."

Why No Theory of Consciousness Has Won — and What Mathematics Says About It

In April 2025 Nature published the results of the COGITATE project — the largest adversarial experiment in the history of consciousness science. 256 participants, three neuroimaging modalities (fMRI, MEG, iEEG), two years of work, two leading theories both partially confirmed, both partially refuted. Neither won.

The Consciousness Manifesto: From the Upanishads to Three Inequalities

More than three thousand years ago the Rigveda posed the question: "Who is the one who observes?" In 2025 Nature published the results of the COGITATE project — an adversarial collaboration between IIT and GNW. Both theories turned out to be partially refuted. Over more than three millennia — thousands of texts, dozens of formal theories, zero consensus.

A Theory That Proves Its Own Incompleteness

In 1931 Kurt Gödel proved that a sufficiently rich consistent arithmetic contains true statements that cannot be proven within it. The result destroyed Hilbert's dream of a complete axiomatization of mathematics. Since then "incompleteness" has become a cultural cliché: incompleteness of the mind, of physics, of society. Almost always — incorrectly.

The Cosmological Constant: Physics' Most Precise Puzzle and One Algebra

Quantum field theory is the best physical theory created by humans. It predicts the anomalous magnetic moment of the electron to twelve decimal places. It also predicts vacuum energy with an error of $10^$ times.

Why Exactly Seven: Hurwitz's Theorem and the Architecture of Reality

Nine posts. Each one — "seven dimensions". Seven rows of a matrix. Seven Fano points. Seven Lindblad operators. Seven, seven, seven.

Death, Coherence and Subjective Time: What Mathematics Says

Some day you will die.

Can AI Be Conscious? Three Inequalities and One Honest Answer

Every few months someone announces that AI has "shown signs of consciousness." Someone else responds that this is anthropomorphism. A third person proposes to wait. A fourth — a committee. The discussion lasts twenty minutes, after which everyone departs with the same convictions they came with.

Consciousness, Illness and Geometry: Gap-Profiles of Psychopathologies

Psychiatry is the only area of medicine where a diagnosis is made from a catalog. DSM-5: around three hundred categories, each defined by a list of symptoms. Five out of nine — diagnosis A. Four out of seven, at least two weeks — diagnosis B. This is a conscientious inventory. But an inventory is not a map.

Why There Are Exactly Three Particle Generations: An Answer from Algebra of 1845

The Standard Model of particle physics describes everything we have observed in accelerators over the past seventy years. For this it is respected. But it has a small awkwardness that is usually placed at the end of a lecture course or in a footnote: all fermions exist in three copies — and there is no explanation for this.

Why Space is Three-Dimensional and Time One-Dimensional: Algebra Instead of Postulate

Why do we live in three spatial dimensions and one temporal dimension?

Three Forces, One Equation: The Dynamics of Everything

Why do you still exist?

Freedom of Will: A Theorem, not a Discussion

Twenty-five centuries of philosophers have debated free will. The result: two camps, both wrong.

Geometry of the Inner World: 21 Types of Experience and Three Mandatory Blind Spots

How many types of experience exist? One? A hundred? Infinitely many? The question seems meaningless: the inner world is continuous, fluid, uncountable. So intuition reasons. Mathematics reasons differently.

Holonomic Paninteriorism: UHM Philosophical Position

The position in one line: everything has an inside, almost nothing has a mind, and the border between the two is a number you can compute.