ETCQ_a_testable_alternative_part_3 observations

This article presents new observational tests of the Elastic Trame Cosmological Quantum (ETCQ) framework, a testable alternative to dark matter and dark energy. ETCQ interprets gravity not as a fundamental force but as an energetic cycle of the quantum trame, capped by the universal fine-structure constant $\alpha=1/137$. Using the Pantheon+ Type Ia supernovae catalog (1565 SNe), ETCQ reproduces the observed negative slope of Hubble residuals ($b \simeq -0.088$ mag/z, $4.8\sigma$), slightly improving the global fit compared to $\Lambda$CDM ($\Delta\chi^2 \approx -4.8$). In redshift-space distortions (RSD), ETCQ predicts a mild slowdown of structure growth (5–7%), consistent with data and reducing the $\sigma_8$ tension. At galactic scales, ETCQ naturally reproduces the Radial Acceleration Relation (RAR) and the Baryonic Tully–Fisher Relation (BTFR) from SPARC data (111 galaxies), without dark matter halos or parameter tuning. These results add to a growing body of evidence, from nuclear reactions (fission/fusion) to galaxy dynamics and strong lensing time delays, showing that ETCQ consistently explains observations across scales with a single principle: a rigid trame bounded by $\alpha$.