The Origin of the Fundamental Volume V0: Topological Quantization and the Holographic Information Bound

The Signed-Volume (SV0) Theory of Everything is built upon the fundamental constraint |V_A| + |V_B| = V_0, where V_0 represents the total absolute volume of the universe. While previous papers have derived the dynamics of the SV0 framework, the origin of the constant V_0 has remained an open question. In this paper (Paper XXXV of the SV0 series), we provide a first-principles derivation of V_0. We demonstrate that V_0 is not a free parameter, but a topological invariant quantized by the discrete structure of Spacetime Quanta. Using the holographic principle and the Universal Information Field (UIF), we show that V_0 = N_0 ℓ_Pl³, where N_0 ~ 10¹²² is the maximum information capacity (number of bits) of the observable universe. Furthermore, we show that this specific value of V_0 is dynamically required to produce the observed cosmological constant (ρ_Λ ~ 10⁻¹²² M_Pl⁴) via the SV0 vacuum cancellation mechanism. This closes the final foundational gap in the SV0 framework.