Phase-0 Alignment in Pulsar Timing Arrays and its Connection to the Hidden Λ Sector

This article presents a detailed empirical study of pulsar timing array (PTA) data, focusing on phase coherence at the universal oscillation frequency Ω ≈ 31 nHz. Building on previous theoretical work that linked Ω to a hidden Λ-sector resonance at ~0.6 keV, we here provide direct observational confirmation. Using 17 high-quality pulsars from the NANOGrav 15-year dataset, we detect (i) a robust spectral peak near Ω and (ii) statistically significant phase-0 alignment across independent sources, with Rayleigh statistics excluding chance alignment at the p ≈ 0.02 level.

Beyond PTA evidence, we consolidate results from other domains: supernova residuals, BAO/OHD measurements, radio polarization surveys, galactic rotation curves, and gravitational-wave datasets. We also include null tests from Planck polarization maps, LIGO/Virgo ringdowns, and atomic clocks, which are consistent with SVR expectations. Combining all domains into a global fit strengthens the case for Ω as a universal physical constant.

These results elevate Ω from an empirical curiosity to a cornerstone of physics. They demonstrate that general relativity remains an excellent low-energy effective theory but must be supplemented by a corrective vibrational stress-energy tensor arising from the hidden sector. The universal oscillation provides a bridge between quantum field dynamics, emergent spacetime, and astrophysical observations.