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Chou Cosmo

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#protein folding Open access Sep 2026

Topological Attractors in Chaotic Systems: The 3n+1 Conjecture as a Mathematical Metaphor for Protein Folding and the H3QM Discrete Duality Theory

The folding of polypeptide chains into biologically active tertiary structures and the Collatz (3n+1) conjecture represent two notoriously difficult open problems characterized by extreme initial trajectory chaos collapsing into inevitable, deterministic attractors. In macromolecular biophysics, Levinthal's paradox ill...

Chou Cosmo · 0 citations
#protein folding Open access Sep 2026

Topological Attractors in Chaotic Systems: The 3n+1 Conjecture as a Mathematical Metaphor for Protein Folding and the H3QM Discrete Duality Theory

The folding of polypeptide chains into biologically active tertiary structures and the Collatz (3n+1) conjecture represent two notoriously difficult open problems characterized by extreme initial trajectory chaos collapsing into inevitable, deterministic attractors. In macromolecular biophysics, Levinthal's paradox ill...

Chou Cosmo · 0 citations
#graph neural networks Open access Sep 2026

Topological Proof Networks and Interdisciplinary Structural Isomorphisms: A Bourbaki 2.0 Framework for Categorical Graph Functor Closure and Discrete Metric Verification

Modern theoretical physics, pure mathematics, and artificial intelligence have converged upon a dual epistemological crisis: while automated neural theorem engines generate sprawling, opaque derivation steps that suffer from an unbridged "epistemic justification gap" (Tanswell & Berg, M\times\Phi 2026), human mathemati...

Chou Cosmo · 0 citations
#artificial intelligence Open access Sep 2026

Topological Proof Networks and Interdisciplinary Structural Isomorphisms: A Bourbaki 2.0 Framework for Categorical Graph Functor Closure and Discrete Metric Verification

Modern theoretical physics, pure mathematics, and artificial intelligence have converged upon a dual epistemological crisis: while automated neural theorem engines generate sprawling, opaque derivation steps that suffer from an unbridged "epistemic justification gap" (Tanswell & Berg, M\times\Phi 2026), human mathemati...

Chou Cosmo · 0 citations
#generative ai Open access Sep 2026

Circumventing Non-Convex Saddle-Point Barriers via 4D Conserved Topological Charge Vector Projections: A Deterministic Computer-Assisted Proof

Non-convex optimization is notoriously bottlenecked by the ubiquity of high-dimensional saddle points and degenerate energy plateaus, where standard gradient descent, momentum methods, and stochastic Langevin dynamics suffer polynomial or exponential deceleration O(1/ε²) or spurious limit cycles. In this work, inspired...

Chou Cosmo · 0 citations

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