For fixed sound-horizon and supernova calibrations, no late-time modification—even one violating cosmic distance duality—can resolve the Hubble tension, because the required ~8-10% CDDR violation is excluded by BAO, cosmic-chronometer, and CMB spectral constraints.
Constraints on Distance Duality Relation from Sunyaev Zel'dovich Effect and Chandra X-ray measurements
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abstract
We demonstrate that the recent measurements of the angular diameter distance of 38 cluster of galaxies using Chandra X-ray data and radio observations from the OVRO and BIMA interferometric arrays place new and independent constraints on deviations in the duality relation between angular and luminosity distances. Using only cluster data, we found that the ratio between the two distances defined as $\eta = D_L/D_A(1+z)^2.$ is bound to be $\eta=0.97\pm0.03$ at 68% c.l. with no evidence for distance duality violation. Comparing the cluster angular diameter distance data with luminosity distance data from type Ia Supernovae, we obtain the model independent constraint $\eta=1.01\pm0.07$ at 68% c.l.. Those results provide an useful check for the cosmological concordance model and for the presence of systematics in SN-Ia and clusters data.
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Can Distance Duality Violation Save Late-time Solutions to the Hubble Tension?
For fixed sound-horizon and supernova calibrations, no late-time modification—even one violating cosmic distance duality—can resolve the Hubble tension, because the required ~8-10% CDDR violation is excluded by BAO, cosmic-chronometer, and CMB spectral constraints.