Relational Horizon Dynamics (RHD), Factorization-Disrupting Density (FDD), and the Forcing Alignment Protocol (FAP): Full Source-Bound Research and Audit Dossier

Relational Horizon Dynamics (RHD), Factorization-Disrupting Density (FDD), and the Forcing Alignment Protocol (FAP): Full Source-Bound Research and Audit Dossier Author and research direction: Todd M. Sisca Compilation date: October 27, 2026 Document: 494-page research and publication-integrity compendium This record presents an integrated, source-preserving mathematical research corpus spanning set-theoretic forcing, operator algebras, equivalence relations, amenability, hyperfiniteness, modular theory, dyadic probability measures, singular-measure fusion, de Branges–Rovnyak kernel geometry, metric rigidity, and resonance arithmetic. The mathematical program includes Cohen-coded graph forcing and the Factorization-Disrupting Density framework; random-generic equivalence relations and von Neumann factors; quasi-free fermionic horizon seams; singular dyadic tilings; positive measure fusion and marked unfusion; balanced subtree swaps; and exact log-odds resonance identities. The bound master contains an integrated technical assessment, three newly structured FAP House Rules audits, a preserved 420-page source reader, a 36-page AI-assisted line audit, and the October 25, 2026 Resonant Constants manuscript. The audits examine a fixed register of 72 claims through source concordance, adversarial mathematical scrutiny, and publication-integrity review. Selected exact identities and computational tests have been reproduced. Historical errors, failed numerical tolerances, corrections, and unresolved mathematical dependencies remain documented. The author of the framework has traumatic brain injuries, trigeminal neuralgia, and diplopia, and uses AI with collaborative reading/drafting and assist. Verification status: The audits are AI-assisted and do not constitute independent human peer review, journal certification, or complete proof verification. Physical spacetime emergence, experimentally measured resonance, and a general physical entanglement correspondence have not been established by this corpus. Illustrated detector results are explicitly simulated, not measurements. This compilation preserves the research's mathematical development, technical disagreements, reproducibility findings, and outstanding verification requirements for public scholarly examination and future specialist and professional Intel/DoW review.