Theoretical survey demonstrates machine-checked derivation of the Standard Model and quantum foundations, highlighting closure compatibility as a necessary condition for physical reality.
Key Points
To review the physical results of the Reflexive Reality research program, surveying how mathematical closure conditions constrain the Standard Model, quantum mechanics, and spacetime.
Synthesized formal mathematical derivations across high-energy theory, quantum foundations, quantum gravity, cosmology, and statistical mechanics.
Implemented and machine-checked all foundational claims as formal theorems in Lean 4 without custom axioms or unproven assumptions ('sorry').
Demonstrated that the Standard Model gauge group and three-generation fermion structure are formally forced by the Two-Layer PSC Theorem.
Established the Born rule as a unique closure fixed point of probability assignment rather than an independent postulate.
Derived the thermodynamic arrow of time, holographic encoding, black hole information limits, and Standard Model coupling constants without free parameters.