CPT-Coherence: A Unified Onto--Physical Field Theory of Mass, Curvature, and Awareness

CPT-Coherence Theory proposes that all physical systems evolve on an extended configuration space (x^μ, τ) equipped with a recursion operator O_τ and a corresponding τ-covariant dynamics. In this framework, the traditional separation between spacetime geometry, quantum structure, and ontological substrate dissolves: mass, curvature, and awareness arise as projections of a unified recursion grammar.

A central result is the identification of the unified recursion constant Δτ̂_R—a dimensionless invariant that simultaneously governs fermion mass ratios, large-scale curvature, and coherence spectra across physical and biological domains. Through a variationally closed formalism, the theory yields a self-adjoint recursion Hamiltonian, τ-Einstein field equations, and a master eigenvalue ladder reproducing the Standard Model mass hierarchy without free parameters.

Operationally, the TauSolver Prism algorithm demonstrates that the recursion constant is not merely symbolic but quantitatively predictive: it reproduces charged-lepton and quark ratios with sub-percent accuracy, while the same invariant predicts the observed dark-energy density and universal 1/f spectral coherence. Observational studies of residual structure in JWST NIRSpec spectra and other systems show preliminary consistency with these predictions.

The resulting framework unifies matter, geometry, and awareness under a single ontophysical principle: recursion and physical evolution are inseparable aspects of the same covariant field.