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“I give you God’s view,” said Toby Cubitt, a physicist turned computer scientist at University College London and part of the vanguard of the current charge into the unknowable, and “you still can’t predict what it’s going to do.”

Eva Miranda, a mathematician at the Polytechnic University of Catalonia (UPC) in Spain, calls undecidability a “next-level chaotic thing.”

Undecidability means that certain questions simply cannot be answered. It’s an unfamiliar message for physicists, but it’s one that mathematicians and computer scientists know well. More than a century ago, they rigorously established that there are mathematical questions that can never be answered, true statements that can never be proved. Now physicists are connecting those unknowable mathematical systems with an increasing number of physical ones and thereby beginning to map out the hard boundary of knowability in their field as well.

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Link to book on Amazon: http://t.ly/sMJW

QHT Paper: https://arxiv.org/pdf/2008.09356.pdf.
Non-technical Explanation: https://jespergrimstrup.org/research/.… 0:00 — Does reductionism end? 2:24 — Why there probably is a final theory 7:00 — Quantum Holonomy theory 12:53 — Surprising implications of QHT Does a final theory exist that can end our reductionist probing into ever shorter distances? Or is there no end to reductionism? There should be an end point because as the object of our measurement gets small enough, the high energies needed to measure it will create a black hole. And no information can get out of a black hole. So there is a limit to measurable reality. We have united seemingly dissimilar forces in the past. For example, the unification of electricity and magnetism, and weak and electromagnetic forces. To continue this reductionism, we want a theory that unifies all known forces. Today we have two overarching theories for forces: Einstein’s Theory of General relativity for gravity, and The standard model for the electromagnetic, weak and strong force. The problem is that the standard model is a quantum field theory, but general relativity is a classical field theory. The two are not compatible. Past attempts for a theory of everything include string theory and loop quantum gravity. But string theory does not produce any falsifiable results. Its mathematics is too flexible. Loop quantum gravity only addresses gravity and not the other forces. Quantum Holonomy Theory or QHT was pioneered by two Danish scientists, physicist Jesper Grimstrup and mathematician Johannes Aastrup. It begins by asking question, how can a theory be immune to further scientific reductions, so that reductionism ends? The presumptive idea is that the simplest way to describe the universe is objects moving around in three dimensional space. The theory is based on the mathematics of empty 3-dimensional space, just space, not even time. So the starting point of QHT is the mathematics of moving stuff around. There are an infinite many ways you can move an arbitrary object between points in space. Any one of these combination of movements from point A to point B, is called a recipe. A recipe for a combination of movements in physics is called a gauge field. A gauge field is the recipe of how to move one particle from point A to point B. Gauge fields are what makes up the forces in the standard model. Since they are recipes of moving things around in space, they represent how things interact with each other, or how forces work. The sum of all mathematical recipes is called the “Configuration space” of these recipes. The key insight in QHT is that the this space has a geometry and stores a lot of information. Geometry means that two different recipes for moving stuff around can be said have a relationship between each other. This is complicated but can be proven mathematically. Grimstrup and Aastrup found is that this geometry results in mathematics that looks almost identical to the mathematics that we already know from quantum field theory – this includes the mathematics of the Standard model. From the geometry you can obtain a a Bott-Dirac operator. The square of this operator gives us the Hamiltonian for both matter particles and force carrying particles. The Hamiltonian represents the formula for all the energy in a system. #QHT #Theoryofeverything Once you have a description of the energies of all the matter and forces in the universe, that’s all you need to need to understand how matter interacts in the universe, and is essentially everything we would need to describe the universe, once all the math is worked out. By simply considering the movements of objects in empty space, all this rich mathematics that appears to resemble the known mathematics of the universe comes out. If QHT is correct, then here are the implications: 1) The universe is quantum because the only way you can describe things moving in empty space is via quantization. 2) Gravity is not quantized, so there is no theory of quantum gravity. 3) No singularities can exist 4) There is no infinite curvature of space-time inside black holes 5) The universe could not have come from nothing, but from a prior universe — a Big Bounce! Become a patron: https://www.patreon.com/bePatron?u=17…
0:00 — Does reductionism end?
2:24 — Why there probably is a final theory.
7:00 — Quantum Holonomy theory.
12:53 — Surprising implications of QHT
Does a final theory exist that can end our reductionist probing into ever shorter distances? Or is there no end to reductionism? There should be an end point because as the object of our measurement gets small enough, the high energies needed to measure it will create a black hole. And no information can get out of a black hole. So there is a limit to measurable reality.

We have united seemingly dissimilar forces in the past. For example, the unification of electricity and magnetism, and weak and electromagnetic forces. To continue this reductionism, we want a theory that unifies all known forces. Today we have two overarching theories for forces: Einstein’s Theory of General relativity for gravity, and The standard model for the electromagnetic, weak and strong force.

Continue reading “Does reductionism End? Quantum Holonomy theory says YES” | >

A fundamental goal of physics is to explain the broadest range of phenomena with the fewest underlying principles. Remarkably, seemingly disparate problems often exhibit identical mathematical descriptions.

For instance, the rate of heat flow can be modeled using an equation very similar to that governing the speed of particle diffusion. Another example involves wave equations, which apply to the behavior of both water and sound. Scientists continuously seek such connections, which are rooted in the principle of the “universality” of underlying physical mechanisms.

In a study published in the journal Royal Society Open Science, researchers from Osaka University uncovered an unexpected connection between the equations for defects in a and a well-known formula from electromagnetism.

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In this work, I present a coherent and comprehensive argument for the nature of consciousness as the inherent ground of phenomena backed by experimental evidence confirming the predictions make by this hypothesis.

This argument makes its point by establishing an equivalence between all observers, generating a set of observational and mathematical predictions which were then tested and confirmed.

Furthermore, when the core tenet of the argument is accepted, it provides clear, testable explanations for most of the curently unresolved questions regarding consciousness, intelligence, and the nature of observed phenomena.

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In human engineering, we design systems to be predictable and controlled. By contrast, nature thrives on systems where simple rules generate rich, emergent complexity. The computational nature of the universe explains how simplicity can generate the complexity we see in natural phenomena. Imagine being able to understand everything about the universe and solve all its mysteries by a computational approach that uses very simple rules. Instead of being limited to mathematical equations, using very basic computational rules, we might be able to figure out and describe everything in the universe, like what happened at the very beginning? What is energy? What’s the nature of dark matter? Is traveling faster than light possible? What is consciousness? Is there free will? How can we unify different theories of physics into one ultimate theory of everything?

This paradigm goes against the traditional notion that complexity in nature must arise from complicated origins. It claims that simplicity in fundamental rules can produce astonishing complexity in behavior. Entering the Wolfram’s physics project: The computational universe!

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Chapters:

Continue reading “Wolfram’s Theory of Everything: The Universe Is a Giant Computer” | >

In classical electromagnetism, electric and magnetic fields are the fundamental entities responsible for all physical effects. There is a compact formulation of electromagnetism that expresses the fields in terms of another quantity known as the electromagnetic potential, which can have a value everywhere in space. The fields are easily derived theoretically from the potential, but the potential itself was taken to be purely a mathematical device, with no physical meaning.

In quantum mechanics, shifts in the electromagnetic potential alter the description of a charged particle only by shifting its phase—that is, by advancing or retarding the crests and troughs in its quantum wave function. In general, however, such a phase change does not lead to any difference in the measurable properties of a particle.

But in 1959 Yakir Aharonov and David Bohm of the University of Bristol, UK, devised a thought experiment that linked the potential to a measurable result. In their scenario, a beam of electrons is split, with the two halves made to travel around opposite sides of a cylindrical electromagnet, or solenoid. The magnetic field is concentrated inside the solenoid and can be made arbitrarily weak outside by making the cylinder extremely narrow. So Aharonov and Bohm argued that the two electron paths can travel through an essentially field-free region that surrounds the concentrated field within the electromagnet.

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Georg Ferdinand Ludwig Philipp Cantor (/ ˈ k æ n t ɔːr / KAN-tor; German: [ˈɡeːɔʁk ˈfɛʁdinant ˈluːtvɪç ˈfiːlɪp ˈkantoːɐ̯] ; 3 March [O.S. 19 February] 1845 – 6 January 1918 [ 1 ] ) was a mathematician who played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are more numerous than the natural numbers. Cantor’s method of proof of this theorem implies the existence of an infinity of infinities. He defined the cardinal and ordinal numbers and their arithmetic. Cantor’s work is of great philosophical interest, a fact he was well aware of. [ 2 ]

Originally, Cantor’s theory of transfinite numbers was regarded as counter-intuitive – even shocking. This caused it to encounter resistance from mathematical contemporaries such as Leopold Kronecker and Henri Poincaré [ 3 ] and later from Hermann Weyl and L. E. J. Brouwer, while Ludwig Wittgenstein raised philosophical objections; see Controversy over Cantor’s theory. Cantor, a devout Lutheran Christian, [ 4 ] believed the theory had been communicated to him by God. [ 5 ] Some Christian theologians (particularly neo-Scholastics) saw Cantor’s work as a challenge to the uniqueness of the absolute infinity in the nature of God [ 6 ] – on one occasion equating the theory of transfinite numbers with pantheism [ 7 ] – a proposition that Cantor vigorously rejected.

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Paper: https://arxiv.org/abs/2502.12110v1

GitHub Page: https://github.com/WujiangXu/AgenticMemory

Current memory systems for large language model (LLM) agents often struggle with rigidity and a lack of dynamic organization. Traditional approaches rely on fixed memory structures—predefined storage points and retrieval patterns that do not easily adapt to new or unexpected information. This rigidity can hinder an agent’s ability to effectively process complex tasks or learn from novel experiences, such as encountering a new mathematical solution. In many cases, the memory operates more as a static archive than as a living network of evolving knowledge. This limitation becomes particularly apparent during multi-step reasoning tasks or long-term interactions, where flexible adaptation is crucial for maintaining consistency and depth in understanding.

Researchers from Rutgers University, Ant Group, and Salesforce Research have introduced A-MEM, an agentic memory system designed to address these limitations. A-MEM is built on principles inspired by the Zettelkasten method—a system known for its effective note-taking and flexible organization. In A-MEM, each interaction is recorded as a detailed note that includes not only the content and timestamp, but also keywords, tags, and contextual descriptions generated by the LLM itself. Unlike traditional systems that impose a rigid schema, A-MEM allows these notes to be dynamically interconnected based on semantic relationships, enabling the memory to adapt and evolve as new information is processed.

Continue reading “A-MEM: A Novel Agentic Memory System for LLM Agents that Enables Dynamic Memory Structuring without Relying on Static, Predetermined Memory Operations” | >

Nobel Laureate Andrea Ghez joins Brian Greene to explore her decade’s long pursuit of the supermassive black hole at the center of the Milky Way Galaxy.

This program is part of the Big Ideas series, supported by the John Templeton Foundation.

Participant: Andrea Ghez.
Moderator: Brian Greene.

00:00 Introduction.

Continue reading “Tracing the Abyss: The Spacetime of a Supermassive Black Hole” | >