The SV0 Theory of Everything: Axiomatic Foundation and First-Principles Derivation of Fundamental Parameters

Abstract:In this paper (Paper XLVIII of the SV0 series), we present the axiomatic foundation of the Signed-Volume (SV0) Theory of Everything and provide first-principles derivations for its previously phenomenological parameters. The SV0 framework is constructed from four fundamental axioms: (1) the discreteness of spacetime (Spacetime Quanta), (2) the two-sector topological constraint (|V_A| + |V_B| = V_0), (3) the conservation of information (UIF), and (4) the emergent logistic exchange law. We demonstrate that the critical parameters of the theory—γ ≈ 1.37, x_0 = 0.625, and the kinetic coupling Z(x)—are not arbitrary, but are geometric invariants determined by the coordination number and dimensionality of the Spacetime Quanta lattice. By deriving the K-essence action from these axioms, we show that cosmology, quantum gravity, and particle physics emerge as inevitable consequences. A comprehensive table summarizing the resolution of over 24 fundamental physics problems is provided, establishing SV0 as a mathematically rigorous and complete Theory of Everything.