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ak-theory

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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.

  • Updated Jul 18, 2025
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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.

  • Updated Jul 23, 2025
  • TeX

via AK High-Dimensional Projection Structural Theory (AK-HDPST) This repository presents Version 4.0 of a formally structured and constructively resolved version of the Hilbert's 12th Problem, built upon: Collapse Theory (PH₁/Ext¹ obstruction vanishing) Type-theoretic realization

  • Updated Jul 31, 2025
  • TeX

AK‑HDPST v15.0 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).

  • Updated Sep 5, 2025
  • TeX

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