Coherence-Constrained Realization and Processing-Rate Physics: A Structural Framework for Time, Gravity, and Physical Law

This archive contains a self-contained theoretical framework consisting of six interdependent papers that collectively develop a coherence-first foundation for physical law, time, gravity, and cosmology. The package is organized around three tightly linked frameworks: Realization Structure Theory (RST), which establishes the structural preconditions for coherent instantiation and persistence, independent of physical dynamics; Coherence-Constrained Path Resolution (CCPR), which formalizes how global coherence necessarily induces ordered resolution among mutually incompatible continuations, implying finite and non-arbitrary continuation throughput; Processing-Rate Theory (PRT), which provides the minimal covariant physical realization of this finite throughput as a local scalar rate governing effective internal evolution (physical proper time), while recovering General Relativity exactly in the unconstrained limit. The works are necessity-driven rather than model-based: their central claims are derived from structural constraints required for coherent realization, not from discretionary axioms, phenomenological tuning, or empirical curve fitting. No modification of empirically validated equations is introduced within their tested domains. Across the package, the following core results are established: Coherence is logically prior to dynamics; admissibility precedes law. Irreversibility arises from non-undoable exclusion of incompatible continuations and exists prior to entropy, energy, or equilibrium. Time is not fundamental; it emerges when ordered resolution acts on persistence, with finite resolution throughput converting ordering into physical duration. General Relativity is recovered exactly as an idealized unconstrained-throughput (R → 1) limit, without altering spacetime geometry or causal structure. Spacetime singularities are reinterpreted as boundaries of realizability rather than physical infinities. The quantum–classical divide is identified as a resolution threshold, not an ontological split. Dark-matter– and dark-energy–like phenomena arise as large-scale organizational regimes of admissible paths, without introducing new particles or substances. The included PRT Supplement formally establishes the inevitability theorem: any coherently instantiated physical system must realize a finite, non-arbitrary internal evolution throughput. This result follows structurally from coherence and persistence alone and does not rely on empirical assumptions. This archive is intended as a complete and internally closed package. Individual papers may be read independently, but their full logical force is realized when considered together in the stated dependency order. The framework is not a modification of existing theories, but a reordering of conceptual priority that explains why those theories work where they do, and why they fail where they must. License: Creative Commons Attribution–NonCommercial–NoDerivatives 4.0 International (CC BY-NC-ND 4.0).