MPCT-τ : Geometric Quantum State Control via Multi-Path Closure Time Theory

This paper presents a novel quantum state control method basedon Multi-Path Closure Time (MPCT) theory. Through purely ge-ometric dynamical processes without external Hamiltonian driving,we achieve: (1) Significant quantum state amplification with aver-age 3.29× (maximum 3.70×) local state probability enhancement viaweak marking; (2) Observation of quantized peak spacing followingn2 patterns, specifically n2 = 4 corresponding to n = 2; (3) Naturalformation of multi-peak superposition states with average 3.2 signifi-cant peaks in geometric mode. The core mechanism involves MPCTclosure phase driving for temporal emergence, geometric vibration sta-bilization for coherence maintenance, and weak dissipation balancingimplementing the Principle of Existence Cost (PEC). This work es-tablishes a new paradigm for low-energy geometric quantum control,potentially revolutionizing quantum computation approaches.