Dr. John Janik
@johnjanik.substack.com
Ph.D. physicist, Founder of CVD diamond growth companies DiAmante Industries and Extropy Technologies, exploring fundamental physics and category theory.
the hierarchy of algebra
October 6, 2025 at 12:08 PM
the hierarchy of algebra
In this paper, I present a proof of a cohesive version of the Peter-Weyl theorem for the SO(3) action. zenodo.org/records/1566...
Modal Curvature and the Mass Gap in Instanton Sectors of Yang-Mills Theory
We propose a rigorous mathematical foundation for aspects of quantum Yang-Mills (QYM) theory within the framework of cohesive (∞,1)-topos theory. Our approach re- places the ill-defined functional pat...
zenodo.org
June 14, 2025 at 1:46 PM
In this paper, I present a proof of a cohesive version of the Peter-Weyl theorem for the SO(3) action. zenodo.org/records/1566...
Analytic Properties of the Yang-Mills Moduli Stack in Cohesive Homotopy Type Theory
#HoTT #topoi #categorytheory #Yang-Mills #physics
#HoTT #topoi #categorytheory #Yang-Mills #physics
Analytic Properties of the Yang-Mills Moduli Stack in Cohesive Homotopy Type Theory
We investigate the analytic properties of the Yang-Mills moduli stack FYM = Map(R^4,BGconn) within the framework of cohesive (∞,1)-topoi. While the abstract existence of the derived pushforward π! is ...
zenodo.org
June 13, 2025 at 12:51 PM
Analytic Properties of the Yang-Mills Moduli Stack in Cohesive Homotopy Type Theory
#HoTT #topoi #categorytheory #Yang-Mills #physics
#HoTT #topoi #categorytheory #Yang-Mills #physics
“The Shape of Information” demonstrates that information isn't just something we use to describe physics, it might be what physics is made of at the deepest level. The "shape" of information spaces determines what kinds of physical phenomena are possible. zenodo.org/records/1564...
The Shape of Information: Entropy as a Topological Invariant
We present a unified categorical framework for information and entropy using the theory of (∞, n)-topoi constructed from a zero object. This approach demonstrates that Shannon entropy, von Neumann ent...
zenodo.org
June 12, 2025 at 8:59 AM
“The Shape of Information” demonstrates that information isn't just something we use to describe physics, it might be what physics is made of at the deepest level. The "shape" of information spaces determines what kinds of physical phenomena are possible. zenodo.org/records/1564...
In "The Open Society and its Enemies" Karl Popper says the only thing that should not be tolerated in an open society is intolerance. We have gone way past all the goal posts of an open society's collapse. Popper’s message is clear: there is no easy fix once an open society collapses. institutions.
THE OPEN SOCIETY UNDER SIEGE: HOW AMERICA IS SLIDING TOWARD FASCISM
THE OPEN SOCIETY UNDER SIEGE: HOW AMERICA IS SLIDING TOWARD FASCISM
open.substack.com
June 11, 2025 at 4:01 AM
In "The Open Society and its Enemies" Karl Popper says the only thing that should not be tolerated in an open society is intolerance. We have gone way past all the goal posts of an open society's collapse. Popper’s message is clear: there is no easy fix once an open society collapses. institutions.
In this essay, I'll present a new framework for understanding civilizational collapse that brings together three powerful theories: Arnold Toynbee's challenge-response dynamics, Peter Turchin's secular cycles, and the boom-bust patterns we see today's technology of the hour, machine learning.
Beyond Linear Decline: Why Our Civilization Might Collapse
Summary of: Beyond Linear Decline: A Meta-Theory of Civilizational Collapse
johnjanik.substack.com
May 29, 2025 at 6:07 AM
In this essay, I'll present a new framework for understanding civilizational collapse that brings together three powerful theories: Arnold Toynbee's challenge-response dynamics, Peter Turchin's secular cycles, and the boom-bust patterns we see today's technology of the hour, machine learning.
In this paper, I develop a categorical framework for language model reasoning beyond attention.
Structuring Neuralese: A Categorical Approach to Transformer Reasoning Beyond Attention
We develop a rigorous categorical framework for analyzing transformer-based language mod- els, addressing the mathematical foundations that underpin their internal representations and computations. We...
zenodo.org
May 24, 2025 at 2:28 PM
In this paper, I develop a categorical framework for language model reasoning beyond attention.
I think we're going to get to a point very soon where because of language models, we will know everything there is to know and how to solve all problems that the world has, but because it's human nature, we’ll choose to not solve all of the problems that we have.
May 23, 2025 at 6:09 AM
I think we're going to get to a point very soon where because of language models, we will know everything there is to know and how to solve all problems that the world has, but because it's human nature, we’ll choose to not solve all of the problems that we have.
Scientists from EPFL predict significantly stronger heating than current #climate models. “We show that the carbon sensitive models, the ones that predict much stronger heating than the most probable IPCC estimate, are plausible and should be taken seriously” actu.epfl.ch/news/catastr...
Catastrophically warm predictions are more plausible than we thought
EPFL researchers developed a rating system to evaluate the plausibility of climate model simulations in the IPCC’s latest report, and show that models that lead to potentially catastrophic warming are...
actu.epfl.ch
October 19, 2024 at 7:50 AM
Scientists from EPFL predict significantly stronger heating than current #climate models. “We show that the carbon sensitive models, the ones that predict much stronger heating than the most probable IPCC estimate, are plausible and should be taken seriously” actu.epfl.ch/news/catastr...
Hey #algorithm. I’m Dr. John Janik, I founded a couple companies developing CVD diamond growth technologies. You can learn about some of my work in the documentary “Nothing Lasts Forever”. Now, I’m returning to my original interest in #quantum #gravity. Help me connect with other scientists.
October 10, 2024 at 7:54 AM
Hey #algorithm. I’m Dr. John Janik, I founded a couple companies developing CVD diamond growth technologies. You can learn about some of my work in the documentary “Nothing Lasts Forever”. Now, I’m returning to my original interest in #quantum #gravity. Help me connect with other scientists.