Unified Theory of Primary Energy (PE): Fundamental Vacuum Viscosity Constant (η ≈ 0.14) — From 20 Tesla Microcosm to Cosmological Redshift

This paper presents the Primary Energy (PE) theory, a phenomenological framework that resolves the 5-sigma Hubble Tension and the surface brightness anomalies observed by JWST by modeling the physical vacuum as a viscous superfluid medium. We demonstrate that the discrepancy between local (H0ₗocal) and background (H0Planck) measurements is an optical effect caused by a vacuum refractive index n approx 1. 10. Key innovations of the framework: Dual-Regime Viscosity: We introduce a viscosity parameter that depends on energy density. For massless wave propagation, the wave viscosity is approx 0. 10, empirically validated by Fast Radio Burst (FRB) dispersion data. For massive particles under extreme stress, we derive a saturation viscosity of approx 0. 14. Microphysical Derivation: The value 0. 14 is derived from the equivalence of kinetic and magnetic energy densities. Using muon g-2 data, we calculate a critical vacuum perturbation threshold at 17. 25 T. Cosmological Solution: The model reinterprets redshift as adiabatic energy dissipation. This naturally yields a surface brightness scaling of SB proportional to (1+z) ^-1, resolving the "impossible" brightness of high-z galaxies without Dark Energy. Falsifiable Prediction: The theory predicts that a resting muon in a static magnetic field B > 20 T will exhibit a non-linear lifetime extension to approx 64 microseconds, testing the fundamental link between time dilation and energy density.