Abstract Pressure-Mediated Gravity (PMG) is an emergent-gravity hypothesis in which spacetime is modelled as a superfluid vacuum governed by a logarithmic Gross-Pitaevskii Lagrangian. Its most directly testable prediction is an environmental acceleration scale: a0ˡocal = cHₗocal/2pi, implying approximately 20% variation in a0 between void and filamentary environments. This is a sharp, falsifiable claim distinguishable from all fixed-a0 modified-gravity frameworks with existing galaxy survey data. The present paper delineates the observational testing regime for this prediction and for the broader theoretical programme it anchors, including a turbulent-regime mechanism for cluster-scale lensing offsets and a second-sound CMB amplitude correction. Six falsification criteria are presented with explicit numerical pass/fail thresholds, stratified by evidential tier: from Tier 1 (existing observational data, Paper IV) through Tier 2 (analytical predictions pending Boltzmann code implementation) to Tier 4 (theoretical requirement not yet demonstrated). A calculation using CAMB v1. 6. 6 predicts a growing CMB amplitude excess of +1. 4% at ell₃ (expected 4. 7 sigma with CMB-S4) to +4. 8% at ell₅ (16. 1 sigma) ; these are analytical predictions requiring independent replication via a full coupled Boltzmann implementation. The environmental a0 test is the closest to confirmation and should be developed first; if it fails, the broader framework weakens substantially. The paper frames PMG explicitly as a falsifiable research programme rather than a completed alternative to LCDM.
Mohammad Jerrow (Fri,) studied this question.
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