Constrained SO(3,3) Spacetime: Suppression of Ghost States via Meta-Time Flow and Geometric Reduction of Quantum Phenomena

Multitemporal dimensions, particularly the SO(3,3) manifold where space and time exhibit perfect symmetry, offer exceptional algebraic elegance in theoretical physics. However, they inevitably induce closed timelike curves (CTCs) and ghost states with negative norms, thereby destroying the unitarity of quantum field theory. This paper proposes a novel geometric framework that circumvents artificial dimensional compactification; instead, we hypothesize that a global 'Meta-Time' flow, formed through spontaneous symmetry breaking, dynamically freezes the spacetime into a 3+1+2 sub-Riemannian manifold. The vacuum expectation value (v>1/2) of the introduced constraint field forms an immense geometric tension that suppresses wave dispersion into the transverse time dimensions. It is shown that this forms an extended 3+1+2 ADM foliation and a closed Dirac constraint algebra, strictly eliminating ghost degrees of freedom algebraically via BRST quantization, thereby ensuring the absolute unitarity of the theory. Furthermore, we carefully suggest that this geometric constraint mechanism may reduce the fundamental axioms of modern physics into deterministic tensor dynamics. A particle's rest mass (E=mc2) is interpreted as the geometric drag of a topological soliton resisting the meta-time flow, and its stability is rigorously demonstrated via the BPS limit. We also propose that quantum tunneling acts as a bypass mechanism through topological rotation in the transverse time dimensions, precisely recovering the non-perturbative WKB approximation. The electromagnetic Aharonov-Bohm effect is confirmed to manifest as geometric holonomy on a Wilson Loop. On a macroscopic cosmological scale, the projection of the constraint field spontaneously yields the dark energy equation of state (w=−1). In conclusion, by conceptually replacing probabilistic quantum phenomena—such as quantum superposition and wavefunction collapse—with topological wobbling in the transverse time axis and phase-anchoring by macroscopic masses, this study hopes to provide a foundational deterministic geometry that bridges general relativity and quantum mechanics.