This paper presents V31 of the electron-like packet programme in the Emergent Condensate Superfluid Medium (ECSM) framework. Unlike the preceding doorway sequence, V31 is deliberately framed as a locked non-doorway theoretical-reference test. The purpose is not to ask whether the inherited ECSM packet can support a running-response structure; that doorway was already established in V28 and consolidated in the V30 radiative stack audit. Instead, V31 asks whether the frozen V21b–V30 packet and response stack can pass a locked comparison against an externally specified leading-log running-coupling reference without post-hoc parameter adjustment. The inherited values are fixed before evaluation: qₑff = −0. 9993035720499918 Eᵣest = 514. 0698767738036 keV alphafs = 0. 0072973525692838015 The V28/V30 running-response plateau is also frozen: PiECSMᵖlateau = 0. 007146727844882419 The comparison reference is an ordinary leading-log theoretical curve generated independently of measured running-alpha data. No measured running-alpha values are used as fitting inputs, and no ECSM parameter is adjusted after comparison. The locked test passes all 19/19 criteria and returns: PASSLOCKEDRUNNINGRESPONSETEST The maximum low-q alpha-relative difference is 1. 2694147675417796×10^-4, and the mean low-q alpha-relative difference is 3. 549922028740861×10^-6. The raw-to-ECSM high-q tail-span ratio is 1. 947916843795408×10⁵, while the maximum locked ECSM effective coupling remains finite at 0. 007349504762084605. This result does not claim full QED, renormalisation-group completion, precision running-alpha phenomenology, or a measured-data fit. It establishes that the frozen ECSM electron-like packet stack passes a first locked non-doorway running-response comparison against an externally specified theoretical reference while preserving finite high-q saturation.
Adam Sheldrick (2026) studied this question.