Spacetime Quantization, SO(8) Triality Phase Spaces and Induced Foliated Gravity

We present an advanced theoretical extension of the topodynamic field framework, establishing a rigorous geometric and algebraic foundation for spacetime quantization derived from SO(8) foliated manifolds. By exploiting the exceptional triality property of SO(8) (D_4), we define a natural zero-point phase space that algebraically constrains high-energy fluctuations, thereby suppressing ultraviolet divergences without artificial renormalization. We develop the formal 8-dimensional leaf geometry, proving how foliation folding generates a dynamic cosmological term and a discrete harmonic energy spectrum via exact differential operators. Finally, we interpret spacetime quantization as an obligatory topological closure consequence of the invariant torsion operator \\mathcal{T}_\\pi, providing an exact resolution mechanism for classical singularities