Tests an electron-like response packet in a superfluid medium, indicating a unique stability-functional model.
The Emergent Condensate Superfluid Medium (ECSM) framework treats matter-like objects as stable localised response configurations of a finite-response coherent medium, rather than as externally inserted point particles. Previous ECSM work introduced a stability functional F[Q], defined matter-like excitations as finite-energy localised minima of that functional, and developed a bipolar matter-sector scaffold in which charge-like behaviour arises from branch imbalance rather than from externally assigned charge. This paper tests whether an electron-like response packet can be realised as an occupancy-locked, unit-negative, localised excitation. A discrete occupancy scan over three response layers identifies the lowest closed unit-negative candidate as (n_+, n_0, n_-) = (0, 1, 3), with effective branch imbalance q_eff = -1 and electron-closure residual zero. This discrete scaffold is then tested in a continuous radial relaxation model by imposing the integrated occupancy-locking condition (N_+, N_0, N_-) -> (0, 1, 3). The V3b numerical relaxation produces a finite-radius localised packet with N_+ = 3.29e-5, N_0 = 0.999085, N_- = 2.999083, yielding q_eff = -0.999683 and R_rms = 5.50777. After perturbation, the packet relaxes back to q_eff = -0.999688, with charge, occupancy, profile, and energy recovery preserved. All twelve numerical verdict criteria pass. The result does not constitute a derivation of the physical electron, its measured rest mass, fine-structure constant, QED scattering amplitudes, or Standard Model gauge structure. Instead, it establishes a narrower ECSM result: a minimal stability-functional toy model admits a perturbatively recovered, finite-radius, unit-negative, occupancy-locked response packet with the closed (0,1,3) bipolar scaffold.
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Adam Sheldrick (2026) studied this question.
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