Emergence of Extra Dimensions and Kaluza-Klein Signatures in the SV0 Theory of Everything

Abstract:The existence of extra spatial dimensions is a fundamental prediction of String Theory and a key component of many attempts to unify gravity with the Standard Model. In this paper (Paper XXXVI of the SV0 series), we demonstrate that extra dimensions emerge naturally from the discrete "Spacetime Quanta" network of the Signed-Volume (SV0) framework. We show that the connectivity of the Spacetime Quanta lattice generates a 6-dimensional compactified manifold whose topology is determined by the SV0 two-sector constraint |V_A| + |V_B| = V_0. Using the Holographic Bound (Paper XXXV), we derive the size of these extra dimensions, finding R_ED ~ 10⁻¹⁹ m. Furthermore, we calculate the mass spectrum of Kaluza-Klein (KK) excitations of the graviton and show that the lightest KK modes have masses in the TeV range, making them accessible to the High-Luminosity LHC and future gravitational wave detectors (e.g., LISA, Einstein Telescope). This provides a direct, falsifiable test of the SV0 spacetime topology. Keywords:Extra Dimensions; Kaluza-Klein Theory; SV0 Theory; Spacetime Quanta; String Theory; Dark Matter; High-Energy Physics.