THE CEPHEID CLOCKS: Resolving the Hubble Tension via Cosmological Metric Torsion and the Hotchkiss-Zeta-Rydberg Identity

Modern cosmology relies upon an interconnected framework of luminosity calibration, gravitational scaling,and astrophysical modelling. While remarkably successful in many respects, persistent discrepancies incosmological measurements suggest that a foundational metrological bias may remain embedded within thedistance ladder itself. In particular, the unresolved divergence between locally measured and cosmologicallyinferred values of the Hubble parameter motivates a re-examination of the assumptions underlying Cepheidcalibration.This paper re-examines Cepheid variables within the Quantum Pan-Dimensional Relativity (QPR)framework, wherein physical constants vary as functions of local coherence frequency. We demonstrate thatCepheid pulsation periods act primarily as measurements of local clock rate rather than intrinsic luminosity,governed by local magneto-gyric effects and global vacuum-density structure. Within this framework, thelong-standing divergence between local and deep-field determinations of the Hubble parameter emergesnaturally as a metrological projection effect associated with a piriform light-cone geometry embedded withina static Global Metric Envelope. Apparent cosmic acceleration is therefore reinterpreted as a consequence ofconformal metric structure rather than physical expansion.