Phase Lattice N(u) from Riemann Zeros: The Mathematical Genesis of Time

We numerically verify a model in which the geometric phase sourced by the nontrivial zeros of the Riemann zeta function modulates an internal effective light speed ceff. The Structural Conservation / Information (SCI) framework translates such speed modulation into an intrinsic time dilation. This analysis is extended with a Riemann Fingerprint Evidence Matrix, which quantifies multi-axis structural similarity, residual correlations, and spectral coherence against suitable control models. Our results establish that: (i) the geometric phase directly governs local light-speed modula- tion; (ii) the SCI framework rigorously maps speed modulation into internal-time stretching; (iii) the Riemann spectrum encodes a statistically unique “fingerprint” distinguishable from random or control spectra; and (iv) the Riemann-phase-driven modulation of light speed constitutes an Optical Unification Principle, founding a structural–information–physical framework that is inherently consistent across geometric optics and wave/quantum optics. This unification bridges number theory and physics, revealing time’s structural roots.