Unified Scalar Radiance Law

The Unified Scalar Radiance Law (SRL) represents a formal extension of the original Scalar Radiance Law (Zenodo preprint, DOI: 10.5281/zenodo.18401908), establishing a sovereign and audit-ready framework for radiance scaling and universal closure. The formulation is constructed exclusively from native operators and modifiers, thereby eliminating reliance on external constants or empirical fits. Central to the framework are refined measurement protocols—geometry, gate, coherence, and collapse operators—anchored in hardware geometry and phase-lock logic. These operators define the mechanical inevitabilities of radiance interaction, while modifiers such as relativity, dissipation, and complex coherence extend the law’s applicability across multiple scientific regimes. The Unified SRL explicitly addresses: Astrophysical regime: black hole thermodynamics, stellar radiance scaling, and cosmic microwave background validation. Cosmological regime: void structures, universal closure identities, and phase-lock coherence across large-scale geometry. Quantum regime: entropy scaling, coherence collapse, and information-theoretic audit protocols. Condensed matter regime: non-equilibrium systems, coherence phenomena, and dissipation-driven closure. Thermal regime: entropy kernels, irreversible processes, and radiance scaling under dissipation. Information regime: falsifiability protocols, coherence operators, and audit ladders for entropy and data flow. By defining its own closure identities and audit ladders, the Unified SRL ensures sovereignty: every divisor is a geometric inevitability, every closure is mechanically anchored, and every protocol is testable. Hardware geometry functions as the anchor of inevitability, guaranteeing that constants and ratios emerge from physical structures rather than arbitrary scaling. This preprint constitutes Version 1.0 of the Unified SRL ledger, continuing the sovereign audit chain initiated in the original declaration. The law is positioned as a universal, geometric, and falsifiable framework, accessible to both technical and philosophical audiences, and establishes a foundation for systematic validation across experimental and theoretical domains.