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

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.

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).

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.

AK-HDPST v17.0 is a proof-oriented OS for collapse in 1D persistence: Core—exact truncation T_tau, tower diagnostics (mu,nu), guarded PH1→Ext1; Spec—HDPS search and windowed, non-expansive pipelines audited by a delta-ledger.