Version XIIa — The Empirical Validation of the Hunt–Lyra Informational Luminosity Law (ILL)

This paper expands upon Version XII – The Hunt–Lyra Informational Luminosity Law (ILL) by presenting the first comprehensive empirical validation of the Law across multiple astrophysical regimes. Using published data from stellar, compact-object, and galactic-core observations, the study tests the proportionality between informational flux and radiative luminosity predicted by the ILL.   Results across thirty distinct regimes — including main-sequence stars, red giants, white dwarfs, neutron stars, magnetars, quasars, and black holes — demonstrate a near-linear correlation spanning more than thirty orders of magnitude in power output. Propagated uncertainties and log-log analyses confirm the Law’s predictive accuracy within standard observational limits.   This work marks the transition of Informational Cosmology from conceptual framework to empirical science, establishing the ILL as a universal informational-thermodynamic relation. All data align with the predicted proportionality, supporting the hypothesis that information diffusion governs the energetic behaviour of astrophysical systems at every scale.