Constrained SO(3,3) Spacetime: Part II. Transverse-Time Fluctuations and the Geometric Origin of Quantum Superposition

Abstract

In standard quantum mechanics, wave-function collapse and superposition are treated as fundamental postulates devoid of underlying deterministic geometric mechanisms. Building upon a previously established constrained SO(3,3) spacetime framework, where a dynamic topological constraint field kinematically suppresses negative-norm ghost states, this paper proposes a purely geometric interpretation of quantum phenomena. We hypothesize that the microscopic leakage into transverse-time dimensions—previously viewed as a threat to unitarity—is the actual geometric origin of quantum superposition. Specifically, we conceptualize quantum orbitals as the spatial projection of temporal desynchronization, superposition as transverse-time phase interference, and wave-function collapse as a forced synchronization driven by macroscopic phase-anchors. This framework not only translates quantum fuzziness into multi-temporal geometry but also rigorously protects macroscopic unitarity without requiring ad-hoc physical collapses.