Reflexive Reality: A Survey for Physicists What Closure Proves About the Standard Model, Quantum Mechanics, and Spacetime

This paper is Paper C3 of the Reflexive Reality capstone series. It surveys the physical results of the Reflexive Reality research program for theoretical physicists—high-energy theory, quantum foundations, quantum gravity, cosmology, and statistical mechanics. Every load-bearing claim marked with a bracketed citation corresponds to a machine-checked theorem in Lean 4 with zero custom axioms and zero sorry. To verify: lake update && lake exe cache get && lake build after cloning \hrefhttps://github.com/novaspivack/reflexive-reality-leanreflexive-reality-lean. The repository's declared default Lake target is ReflexiveReality, which imports Physics.lean and elaborates the Physics namespace aliases. The central physical results: (1) the Standard Model gauge group is forced in Layer I and the three-generation structure is selected in Layer II by a Two-Layer PSC Theorem, machine-checked in nems-lean and ugp-lean; (2) the Born rule is the unique closure fixed point of the probability assignment problem, not a postulate; (3) the arrow of time is a structural consequence of stable records, preceding thermodynamic arguments; (4) black hole information, holographic encoding, time-travel selection, and FTL non-signaling are each constrained by the same diagonal machinery; (5) the Standard Model coupling constants and fermion masses derive without free parameters from a number-theoretic framework (UGP) whose core results are machine-checked; and (6) the classification cascade establishes closure compatibility as the necessary and sufficient condition for foundational viability and narrows the admissible universe types to a near-categorical endpoint. Trust boundary. This is an expository portal. Bracket-tagged claims are listed in . Physical gloss and motivation are not additional theorem statements unless tagged as theorem-extracted. Claim levels follow the opening Claim-typing discipline keybox.