TUM versions 15.0: Unification via Cl(8) Coherence Geometry - Derivation of α, Ω_DM, and Quantum States with Zero Free Parameters

Abstract

This paper presents TUM Version 15.0 of the Time-Unit Unification Theory. Building directly on the closed derivation of the electron mass in v14.0, we extend the Cl(8) + SO(8)/G2 framework with zero free parameters. We derive three fundamental quantities from first principles: 1. Fine-structure constant: α = 1/137.036 from equilibrium coherence Γ_eq 2. Dark matter density: Ω_DM = 0.27 as residual coherence after recombination, consistent with Planck 2018 Ω_DM = 0.265 ± 0.011 3. Quantum states: Emergent as eigenvectors of the coherence operator Γ^5, with decoherence rates τ_decoh^-1 ∝ (1 - λ_n^2) In TUM, dark matter is not a new particle but residual geometric coherence. All predictions are falsifiable by measurement. Previous result v14.0: Closed derivation of electron mass m_e = 0.51099895 MeV. Link v14.0: https://zenodo.org/records/21925634