Testing the CCC+TL cosmology with cosmic-chronometer measurements of the Hubble parameter

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2026
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Abstract
ABSTRACT In a recent paper, it was shown that the Covarying Coupling Constants and Tired Light (CCC+TL) hybrid model yields the Hubble parameter $H( z )$ that is substantially different from its measured value using differential aging of quiescent galaxies as cosmic chronometers (CC). It was claimed that the fit of the CCC+TL model to the $H( z )$ data results in a best-fit value for the parameter α, defining the strength of the co-variation of the constants, disagreeing with that for the SN Ia data at the ∼ 6σ level. In this paper we re-examine the assumptions underlying such a comparison. Cosmic-chronometer measurements are designed to be independent of cosmological priors, but they nevertheless rely on stellar population synthesis models, isochrones, and age-dating calibrations developed within standard stellar-evolution physics. Therefore, even before introducing any specific correction factor, the present CC compilation cannot be regarded as a model-independent falsification of CCC+TL without recomputing the relevant stellar population models in that framework. In the absence of such a recalculation, we ask a more limited question: what type and magnitude of modification to the effective differential-age relation would be sufficient to remove the claimed tension? We show that a phenomenological factor of the form $\sim{{( {1 + {{z}_t}} )}^{ - 3}}$ with ${{z}_t}$ being the TL contribution to the observed redshift, motivated by the scaling of gas cooling times for galaxy formation in the CCC+TL framework compared to ${\rm{\Lambda }}$CDM, is sufficient to reduce the apparent discrepancy in α to ∼0.13σ. Since ${{z}_t} = 0$ for the stellar model primarily developed from local stellar observations, the stellar-aging methods may be unable to verify $\sim{{( {1 + {{z}_t}} )}^{ - 3}}$ dependence.
Reference Key
openalex_W7164743940 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Rajendra P. Gupta
Journal monthly notices of the royal astronomical society
Year 2026
DOI
10.1093/mnras/stag1126
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