GoE - Genesis of Existence: The Axiomatic Observer V.38

GoE is an axiomatic mathematical–logical framework whose derived structures admit an isomorphism to empirically validated physics. Its foundation is a Cartesian cogito greatest-fixed-point assertion — at least one experience occurs — formulated without presupposing a spacetime manifold, a Hilbert space, or a Platonic mathematical realm; GoE assumes neither ontology of any kind nor anti-ontology of any kind. In contrast to Everett-style branching, GoE selects a sparse admissible continuation structure inside syntactic generation. The same first-principle closure yields a generalized Mach-rigidity theorem: absolute local inertia exists exactly on background classes where the GoE inertial generator is constant, with the classical Mach principle recovered as the manifest-boundary shadow. The external criterion for identifying physical isomorphisms of the derived structures is experimental validation. GoE is therefore an engineering-grade “Theory of Everything” in the restricted sense that “Everything” denotes the admissible structures generated by the construction, not a presupposed ontology of any kind. Objectivity is not a premise of the framework but a consequence of the cogito-side closure. Numerically, GoE derives α s,G ≃ 0.330001, audits six mass ratios with fractional mean error Err6 ≃ 0.000000001, gives W-boson mass spectral branches, and gives four lepton-lifetime/charged-current central predictions within current experimental resolution; the same closure gives 1/α = 137.03599917798026.