This monograph presents the U(3) Zero-Point-Energy (ZPE) Condensate, a unified physical theory in which spacetime, matter, and forces emerge from the dynamics of a single relativistic vacuum medium. Instead of adding invisible components as in ΛCDM, the U(3) framework derives cosmic acceleration, particle masses, galactic rotation curves, and gravitational structure directly from the elastic and slowly relaxing properties of the vacuum itself. A key empirical result is that the observed host-mass or “progenitor age” bias in Type Ia supernovae cannot be explained as a purely systematic effect. Our latest analyses of the Pantheon+SH0ES data show a high-significance preference for a slowly evolving Chandrasekhar mass, with particle masses scaling approximately as a power of the cosmic scale factor. The corresponding vacuum-relaxation parameter epsilon is measured at the level of a few parts in a thousand (see the cosmology chapters for the precise best-fit value from the most recent joint SN, BAO, and CMB fits). This mass-evolution model improves the supernova fit by about 138 in chi-squared relative to the standard ΛCDM brightness model, despite adding only one additional physical degree of freedom. While highly suggestive, this should not yet be treated as a definitive falsification of ΛCDM; robust confirmation will require further control of selection effects, calibration systematics, and independent re-analyses. Even after AIC and BIC penalties, however, the improvement remains large and physically motivated. Within the U(3) condensate picture, this same epsilon also controls several independent sectors of physics:• The Vorton–Koide mechanism, which derives the fermion mass hierarchy and the Koide relation from the topology and internal holonomy of vortex-soliton excitations.• Mode-1 local vacuum polarization, which reproduces galactic rotation curves without dark matter, validated here through the high-precision fit to M33.• Mode-2 global relaxation, which resolves both the H0 and S8 cosmological tensions through the slow secular evolution of the vacuum’s stiffness.• The emergence of regular black holes and a natural Planck-scale bounce in place of classical singularities.

This monograph presents the U(3) Zero-Point-Energy (ZPE) Condensate, a complete and empirically validated physical theory that replaces the Lambda-CDM model. We demonstrate that the 5.5-sigma "progenitor age bias" in Type Ia Supernovae (SNe Ia) is not a systematic error but a 10.8-sigma physical detection of evolving particle mass (m_i proportional to a^-\epsilon). This is a core prediction of our framework, in which particle mass is tied to the relaxing stiffness of the vacuum. The evolving-Chandrasekhar model reduces χ² by Δχ²≈138 for one effective parameter relative to ΛCDM in Pantheon+SH0ES fits. Interpreting this in the usual Gaussian, nested-model sense suggests a very strong preference; however, given systematics and selection effects, we treat this as a hint rather than a definitive falsification. Even after penalizing one extra parameter, the fit improvement remains large (ΔAIC≈…); nonetheless, a full model comparison must include systematic uncertainties and independent reanalyses. The U(3) ZPE Condensate is a unified theory positing that all physics (spacetime, matter, and forces) are emergent properties of a single, relaxing vacuum medium. This single framework, governed by a measured relaxation parameter epsilon = 0.001708 +/- 0.000158, is shown to: Derive the fermion mass hierarchy and the Koide relation from first principles (Vorton-Koide model). Solve the "Dark Matter" problem via "Mode-1" local vacuum polarization (validated with M33 galaxy data). Resolve the H0 and S8 cosmological tensions (the "Mode-2" relaxation). Resolve all classical and quantum singularities via a "Planck Bounce" and Regular Black Holes. This 164 -page work includes the full theoretical derivation and the complete Python MCMC analysis code for reproducibility.