Complex Geometric Decoherence and Irreversible Geometric Resonance — Experimental Verification of the Geometrization of Dissipation

The Irreversible Equivalence Principle of the Order Parameter Spacetime Theory proposes a central assertion: dissipation can be geometrized as the imaginary part of a complex metric. But is this geometrization a physical reality or merely a mathematical trick? This paper answers this question by designing an experimental scheme on a cold-atom interferometer platform to simultaneously measure the geometric offset of interference fringes and the visibility decay, testing whether the real and imaginary parts of the complex metric exist as two components of the same complex number. Furthermore, we predict that when the external driving frequency equals the local relaxation rate, the system enters an irreversible geometric resonance state, and the energy absorption rate exhibits an anomalously enhanced resonance peak. If these two predictions are experimentally confirmed, they will constitute irrefutable evidence that dissipation is not just "geometric bending in appearance", but is physically complex geometric bending. We also systematically comb through traces in existing cold-atom experiments that narrowly missed these signals. If both predictions are verified, it directly proves that the Irreversible Equivalence Principle possesses physical reality. If falsified, the principle must be weakened from "dissipation = complex geometric bending" to "dissipation can be described by complex geometry".