Redshift Duality with Pantheon+SH0ES in a Planck-anchored Flat $\hat{I}›$CDM Framework: Implications for Hubble Tension and Observational Inference

Abstract

We test an operationally defined redshift duality in which the observed redshift comprises the standard metric-expansion component together with an additional line-of-sight quantum contribution arising from the cumulative conversion of photon energy into effective mass as a function of path length and frequency. Fitting this hybrid model to the Pantheon+SH0ES compilation, we find that the metric-expansion Hubble constant, $H_{\hat{I}}›$, is recovered to a value consistent with the Planck baseline of $67.4\mathrm{km}{\mathrm{s}}^{-1}\mathrm{Mp}{\mathrm{c}}^{-1}$ within $\lesssim 0.33\ddot{I}ƒ$. Redshift-binned analyses show that while the flat Lambda cold dark matter ($\hat{I}›$CDM) model produces an apparent drift in the inferred Hubble parameter across the Hubble flow, the hybrid model restores the constancy of $H_{\hat{I}}›$ across redshift bins. The correctional trends of cosmological physical quantities re-inferred under this framework further indicate the potential to alleviate anomalies associated with high-redshift galaxies. These results suggest that redshift duality warrants further consideration in observational processing and inference, while preserving consistency with a Planck-anchored flat $\hat{I}›$CDM baseline.

Author version comprising 31 pages and 5 figures. Compiled in the MNRAS LaTeX style. Compared with the Advance Access version, this version includes accessibility-related updates to figure captions, updated affiliation and acknowledgements, revised citation labels, and corrected mathematical notation