This preprint presents a six paper derivation establishing that the major structures of modern physics quantum mechanics, general relativity, the Standard Model gauge group, fermion content, and the electron mass emerge from a single primitive mathematical architecture called the admissibility coordination structure C=(X,≺,A,Λ,Π) The primitive consists of a set of events with causal order, an admissibility constraint structure, a ledger increment functional, and a pairwise coordination functional. No metric, Hilbert space, gauge symmetry, particle spectrum, or dynamical law is assumed. From this structure the following results are derived: • The emergence of a smooth Lorentzian manifold and the Einstein equation.• The derivation of Hilbert space structure, unitary evolution, and the Schrödinger equation.• A threshold phase transition (KILT crossing) separating quantum and classical regimes.• The Standard Model gauge group SU(3)c×SU(2)L×U(1)Y• The Standard Model fermion content through anomaly cancellation.• A parameter free prediction of the electron mass ratio me/mP with 0.24% agreement with experiment. The framework proposes that the fundamental laws of physics are consequences of admissibility constraints governing identity persistence under causal evolution. The series also identifies falsifiable predictions, including the absence of a fourth fermion generation and corrections to decoherence rates near the KILT threshold. This repository contains the complete six-paper derivation series.
Kearon Allen (Fri,) studied this question.