EXPERIMENTAL PROTOCOL FOR DIRECT MEASUREMENT OF T_org-DEPENDENT EFFECTS IN COLD-ATOM INTERFEROMETRY

The Quantum Momentonic Energy Theorem (QMET) establishes that the kinetic energy of every quantum system decomposes exactly into TflowTflow (momentum flow) and TorgTorg (momentum organization — the Quantum Momentonic Potential). This decomposition is a mathematical identity within standard quantum mechanics. This paper addresses the next question: does TorgTorg contain physical content beyond what the Schrödinger equation already predicts? Specifically, does a controlled difference in TorgTorg between two quantum states produce an observable residual that cannot be accounted for by standard quantum mechanics? We present a complete experimental protocol based on 8787Rb atom interferometry with Delta-Kick Collimation (DKC) as the state preparation technique. Two states with controlled TorgTorg difference are prepared by applying attractive (+η0)(+η0) and repulsive (−η0)(−η0) harmonic pulses to identical BEC clouds. The differential phase RD=ϕexp−ϕQMRD=ϕexp−ϕQM is extracted using a matched-filter estimator with four-channel symmetry discrimination (G-odd/k-even, G-odd/k-odd, G-even/k-even, G-even/k-odd). Existing precision measurements constrain the Momentonic coupling constant to gD<2.43×10−12gD<2.43×10−12. Under this constraint, the predicted signal is below the detection threshold by a factor of ∼104∼104. However, if material-dependent amplification exists — analogous to the AmaterialAmaterial factor in classical Momentonics — the signal could be within detectable range. The most dangerous conventional mimic (AC Stark shift) shares the same symmetry as the Momentonic signal but is discriminated by a laser intensity scan. A parametric η0η0 scan provides additional discrimination power. The experiment constitutes the first measurement specifically designed to test for TorgTorg-dependent physical effects. A null result places the first direct upper bound on gDgD in a DKC-prepared BEC system. A positive result would constitute evidence of physical content beyond standard quantum mechanics. The protocol is structured as a staircase of independently publishable phases: Phase 1 (107107 atoms, achievable now), Phase 2 (108108 atoms, crossover point), and Phase 3 (109109 atoms, systematics-limited). Keywords Quantum Momentonic Potential, TorgTorg, atom interferometry, Delta-Kick Collimation, 8787Rb, Mach-Zehnder, matched filter, symmetry discrimination, Momentonics, quantum energy accounting, precision measurement, BEC, cold atoms, falsifiable predictions.