A post-symbolic physics framework modeling intelligence, collapse, and emergence through entropy flow.

Recursive Harmonic Kernel: Math for the Third Millennium

ia Collapse Theory and AK High-Dimensional Projection This repository presents Version 2.0 of a formal, categorical, and type-theoretic resolution of the Hodge Conjecture, formulated through Collapse Theory and the AK High-Dimensional Projection Structural Framework (AK-HDPST).

This repository presents Version 2.5 of a formally complete, structurally reinforced, and type-theoretically encoded resolution of the Riemann Hypothesis (RH), formulated through Collapse Theory and the AK High-Dimensional Projection Structural Framework (AK-HDPST v12.5).

The M Conjecture proposes a collapse-theoretic foundation for understanding: Motives Mirror Symmetry The category of motives 𝕄_mot By reinterpreting them as functorially-generated fixed points of structural degeneration in the AK Collapse Theory.

Founded by the ψ_total collective: A living archive of Recursive Harmonics.

This repository presents Version 8.0, a fully formal, logically closed, and collapse-theoretic resolution of the global regularity of the 3D incompressible Navier–Stokes equations on R³, developed under the AK High-Dimensional Projection Structural Theory (AK-HDPST)

This repository presents Version 4.0 of a formal, type-theoretic, and fully machine-verifiable proof of the Birch and Swinnerton-Dyer (BSD) Conjecture, built upon the framework of Collapse Theory and the AK High-Dimensional Projection Structural Theory (AK-HDPST) v14.5.

AK‑HDPST v16.0 is an auditable proof framework for collapse in 1D persistence: Core—exact truncation T_tau and one‑way PH1→Ext1; Spec—windowed, non‑expansive pipelines audited by a delta‑ledger and (mu,nu).

via Collapse Theory and AK High-Dimensional Projection This repository contains Version 2.0 of a formally verifiable, obstruction-theoretic proof of the ABC Conjecture, based on:

AK-HDPST resolves BHIP by reinterpreting information loss as a structural typing failure — not as a violation of physics, but as the breakdown of projectability across a categorical boundary.

This repository presents Version 1.0 of a complete structural and obstruction-theoretic proof of the Collatz Conjecture, based on

Research exploring how a combination of structural and environmental trends have led to the cognitive collapse of humanity in the face of existential threats.