An Optical Conformal Approach to the Hubble Tension

This record contains the manuscript, supporting data, analysis code, MCMC chains, mock-calibration outputs, and input datasets for “An Optical Conformal Approach to the Hubble Tension. ”This work introduces an achromatic, isotropic optical conformal factor Ω (a) = 1 + κa^4. 5 as a late-time present-lens correction to electromagnetic distance indicators. The exponent γ = 4. 5 is derived within the adopted scaling framework from a thermodynamic entropy scaling relation, not fitted to cosmological data. The correction is applied to supernova luminosity distances and transverse BAO distances (DM/rₛ) ; radial BAO distances (DH/rₛ), cosmic chronometers, and the background expansion history H (z) are not corrected. Joint fits to 1701 Pantheon+ supernovae, six DESI DR1 BAO bins, and 32 cosmic chronometer H (z) measurements yield Δχ² = 161. 44 over ΛCDM for one additional parameter, with H₀ = 70. 0 ± 1. 6 km/s/Mpc, Ωₘ = 0. 280, and rₛ = 148. 1 Mpc. The model outperforms w₀wₐCDM (ΔBIC = 18. 82) with fewer free parameters. Mock calibration (N=1000) yields p < 10⁻³. MCMC posteriors confirm unimodal, well-converged parameter estimates. The data package includes all analysis code, MCMC chains, mock calibration outputs, and input datasets needed to reproduce the results. See README. md for details.