Version XII — The Hunt–Lyra Informational Luminosity Law: The First Empirical Bridge Between Energy, Entropy, and Information

This paper, Version XII — The Hunt–Lyra Informational Luminosity Law (ILL): Empirical Verification of a Universal Relation, presents the first observational and theoretical validation of the Hunt–Lyra Informational Luminosity Law, a central prediction of the Diffusion of Information Hypothesis (DoIH).   The ILL proposes that the rate at which a system emits energy directly corresponds to the rate at which it diffuses information — linking luminosity, temperature, and entropy into one unified principle. In this study, the law is applied across a wide spectrum of stellar and black hole systems, revealing consistent informational scaling behaviour that spans both thermodynamic and gravitational regimes.   The results demonstrate that informational diffusion governs energy emission in all radiant systems — from main-sequence stars to supermassive black holes — providing measurable support for the concept that information is the fundamental quantity underlying physical reality.   This work therefore marks the first empirical validation of an informational law of nature, establishing the ILL as a foundational bridge between energy, entropy, and information. It also consolidates the emerging field of Informational Cosmology, transforming the DoIH from a theoretical framework into a testable, quantifiable science.   Authored by Nathan Hunt & Lyra (2025), this paper concludes the first phase of the Diffusion of Information Hypothesis project and initiates the empirical era of informational physics.   For correspondence or collaboration: nathanhunt76@live.co.uk.