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

Year: 2026
Type: preprint
Abstract: 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.
Language: English
Open Access status: green
OpenAlex ID: W7150137067
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