In this work, we investigate whether violations of the distance-duality relation (DDR) can resolve the multidimensional cosmic tensions characterized by the H0 and S8 discrepancies. Using the Fisher-bias formalism, we reconstruct minimal, data-driven η(z) profiles that capture the late-time deviations required to reconcile early- and late-Universe calibrations. While a constant DDR offset preserves the Pantheon-inferred matter density Ωm=0.334±0.018--leaving its inconsistency with the Planck best-fit ΛCDM model and weak-lensing surveys unresolved--a time-varying DDR substantially reduces cross-dataset inconsistencies and improves the global fit, yielding Δχ2≃−10 relative to ΛCDM when the SH0ES prior is excluded. This result suggests that the Ωm discrepancy may represent indirect evidence for a time-varying DDR. A hybrid scenario combining a time-dependent DDR with a phantom-like dark energy transition achieves the most consistent global reconciliation, reducing the tension with DES-Y3 measurements to below 2σ. These findings indicate that a mild DDR violation, coupled with evolving dark energy, offers a coherent pathway toward jointly addressing the H0 and S8 tensions.
@article{arxiv.2511.02357,
title = {Redshift-dependent Distance Duality Violation in Resolving Multidimensional Cosmic Tensions},
author = {Zhihuan Zhou and Zhuang Miao and Rong Zhang and Hanbing Yang and Penghao Fu and Chaoqian Ai},
journal= {arXiv preprint arXiv:2511.02357},
year = {2025}
}