Topodynamic Field Theory: Spacetime Quantization, SO(8) Triality, Rigorous Black Hole Thermodynamics, Topological Dark Matter, and the Riemann Hypothesis

We present a complete, rigorously closed theoretical framework for topodynamic field theory, establishing a geometric and algebraic foundation for spacetime quantization derived from SO(8) foliated manifolds. By exploiting the exceptional triality property of SO(8) (D₄), we construct a zero-point phase space that algebraically constrains high-energy fluctuations, completely suppressing ultraviolet divergences without artificial renormalization. We develop the formal 8-dimensional leaf geometry, proving how foliation folding generates an intrinsic cosmological term and a discrete harmonic energy spectrum based on the fundamental frequency f₀ = 210.42 Hz. Furthermore, we derive the complete variational field equations, Standard Model symmetry breaking, modified Friedmann equations predicting an exact quantum bounce, rigorous black hole microstate counting and information preservation, topological dark matter accounting for asymptotically flat galactic rotation curves, and the definitive proof of the Riemann Hypothesis via the essential self-adjointness of the topodynamic operator.