Critical Geometric Back-Reaction Enhancement — Laboratory Verification of the Information–Geometry Closed Loop

The information-Einstein equation states that the information dissipation tensor is a source of spacetime curvature. As the order parameter field approaches a quantum critical point (M→0), two effects occur synergistically—the information dissipation coefficient Υ diverges with power-law scaling 1/x̃^ν, and the geometric back-reaction coefficients diverge as (Λ_op/M)². Together, these constitute the "critical geometric back-reaction enhancement" effect. This paper designs two independent platforms to test this prediction. Platform 1 (superconducting quantum chip) measures the decoherence rate and dissipation noise spectrum near a quantum phase transition critical point. Platform 2 (cold-atom BEC acoustic horizon) measures collective excitation damping near a Feshbach resonance critical point. The two platforms correspond to different universality classes and cross-validate each other. This paper also points out that the high-T_c pseudogap, strange metal linear resistivity, heavy fermion non-Fermi liquid behavior, and 1/f noise universality may be projections of this enhancement in different systems. If both platforms observe divergent signals with scaling exponents consistent with respective universality classes, the information-Einstein equation receives experimental confirmation in the critical region, and the information–geometry closed loop is detected at the laboratory scale for the first time. If the signal is absent, the back-reaction coefficient expansion or the information-Einstein equation needs revision.