The Unitary Manifold: A 5D Gauge Geometry of Emergent Irreversibility (v34.0)

Résumé fourni par la source

We present the Unitary Manifold (UM), a five-dimensional Kaluza-Klein framework in which thermodynamic irreversibility, information flow, and quantum transition asymmetry are unified as projections of a single higher-dimensional geometry. Dimensional reduction of the 5D Einstein-Hilbert action yields a 4D effective action whose field equations — the Walker-Pearson equations — show that the Second Law of Thermodynamics is a geometric identity rather than a statistical postulate. v34.0 (2026-09-02): 208 hardgated core pillars, 992 total tracked pillar slots, next slot 993. Full regression: 62,525 passed · 48 skipped · 12 deselected · 0 failed. Lean4 corpus: 3,912 theorems. Epistemic status: repository-level internal mathematical self-consistency is established across the tracked pillar set; external empirical confirmation remains pending. Sprint BL consolidates the surviving flavor-family residuals into one explicit UV flavor/moduli boundary and wires PDG/FLAG α_s releases into the UV rerun path without inflating closure claims. Primary falsifier: LiteBIRD CMB polarization rotation angle β ∈ {0.273°, 0.331°} (~2032). Theory, framework, and scientific direction: ThomasCory Walker-Pearson. Code architecture, test suites, document engineering, and synthesis: GitHub Copilot (AI).

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