Relational Spacetime Reconstruction (RSR) v2.4: An Operator-Algebraic Admissibility Framework

This record presents Relational Spacetime Reconstruction (RSR) v2.4, a formal research framework treating physical reality as an admissibility problem rather than a dynamical postulate. The work defines reality via a zero-ambiguity criterion expressed through conditional expectations in hyperfinite Type III₁ von Neumann algebras. The document is structured as an audit-oriented ledger: all claims are explicitly classified as proven, conditionally proven, conjectural, or unsupported. The purpose of this upload is archival timestamping and independent scrutiny. No claim of peer-review validation is made. algebraic quantum field theory,operator algebras,Type III von Neumann algebras,modular theory,quantum foundations,spacetime reconstruction,conditional expectations,consistency conditions AUDIT STATUS: DIAMOND MASTER [v2.4] This framework identifies physical reality as the unique fixed point where informational ambiguity equals zero ($A=0$). It is supported by the formal methodology and adversarial audit ledger documented in the supplementary whitepapers. Key Revisions in v2.4: Validation of the 46 meV Signature: Derived as the mandatory see-saw counter-weight required to prevent vacuum collapse. Zero-Ambiguity Axiom ($A=0$): Refined the Kosaki Index measurement for state extensions, moving from heuristic to deterministic proof. Petz Reconstruction Noise ($\Xi$): Aligned dark energy decay signatures with DESI 2025 observational data. Related Methodology: See "Recursive Latent Space Navigation" for the underlying search algorithm. Related Audit: See "Adversarial Deconstruction of RSR" for the version control history of falsified branches.