The Emergent Condensate Superfluid Medium (ECSM) framework treats observed physical law as the coherent-limit behaviour of a finite-response medium. Previous ECSM papers developed a pre-law ontology, a taxonomy of surviving law, and a coherence-response threshold for identifying where effective laws begin to fail. This working paper addresses the next foundational requirement: the stability functional that selects the coherent medium and its stable excitations. The paper introduces a schematic ECSM stability functional FQ, where Q denotes a primitive pre-geometric response state. The purpose of FQ is not to impose ordinary physical laws, but to select response configurations that remain coherent, perturbatively stable, finite in energy, and closed under their own operation. The proposed minimal functional contains amplitude, phase, gradient, finite-response, closure, memory, bipolar, and interaction terms. A central result is the reclassification of the ECSM coherence parameter χ. Rather than treating χ as fundamental, the paper identifies it as a derived response-efficiency diagnostic. Starting from density-phase medium dynamics, the coherent propagation speed, healing length, and response time emerge from the stability structure. Under finite-rate driving, χ = 1/1 + (τᵣesp/τdrive) ² follows as the transfer efficiency of the medium. The paper also explains why the stability functional must precede later ECSM derivations of matter, CMB freeze-in, and galaxy-scale response. Stable matter-like excitations require finite-energy localised minima of FQ. CMB acoustic freeze-in requires a prior phase-ordered medium with stable excitations and response memory. Galaxy-scale response requires baryonic matter and late-time medium dynamics.
Adam Sheldrick (2026) studied this question.