On the Hubble Tension

The Hubble tension — the discrepancy between locally inferred and globally inferred values of H_0 — is a key observational puzzle in standard cosmology. Under the Phase-Biased Gravity (PBG) framework, this tension arises naturally from modal coherence structure, without requiring exotic new physics.

In PBG, cosmological redshift is not due to metric expansion but to cumulative coherence decay of photon modes as they propagate through the cosmic modal field. Different modal environments — voids, filaments, clusters — induce different rates of coherence loss. As a result, a photon traveling through a void accrues redshift more slowly per unit distance than one traveling through average-density regions.

This physical structure leads to the following:

• Local supernovae observed through void-rich regions appear farther at a given redshift than standard Hubble flow would predict.
• Consequently, locally measured H_0 (using distance ladder methods) appears higher than the global value inferred from the CMB.

Thus, the Hubble tension reflects path-dependent modal structure bias, not a failure of the underlying coherence-driven redshift relation.

PBG reframes the interpretation:

• Hubble’s empirical relation remains numerically accurate within specific modal averages,
• but the cause of redshift is coherence decay,
• and the deviations (tension) arise naturally from cosmic structural variation without requiring new expansion dynamics or dark energy modifications.

In this view, cosmological acceleration, tension, and apparent anomalies are direct consequences of the structured coherence field through which photons propagate.