Three-Phase Geometry and Phase Unfolding: Connections to Relativity and Quantum Mechanics

This study examines a three-phase geometric structure in which a closed phase component is unfolded into an open progression while another phase component remains as a retained closed structure. The resulting geometry is explored through open–closed connectivity, time–space phase correspondence, and 4π structural recovery. Using established mathematical relations in physics, the phase-unfolding structure is connected to relativistic relations, electromagnetic propagation, and quantum-mechanical phenomena including relative phase, interference, 4π periodicity, uncertainty, and tunneling. The study does not introduce separate geometric mechanisms for each phenomenon. Instead, it asks whether mathematical relations already observed in physics can be consistently organized within a common underlying phase structure.