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