A Hypothetical SP3 Interpretation of the Schwarzschild Radius as the Threshold for Coherence Formation and Slow-Light Behavior in Bose–Einstein Condensates
James E Beecham
Abstract
This paper develops a speculative extension of the Space-Phase (SP3) framework byreinterpreting the Schwarzschild radius as a universal coherence threshold rather thansolely as the gravitational event horizon predicted by General Relativity. The discussionassumes, for the sake of theoretical exploration, that every atom possesses an individualspace-phase envelope capable of joining neighboring envelopes when a criticalorganizational threshold is reached. Within this hypothesis, Bose–Einstein condensationrepresents the formation of a shared coherent space-phase domain. Light propagatingthrough such a condensate is assumed not to undergo repeated absorption and reemission by individual atoms but instead to remain confined within the coherent domainitself. As coherence increases, the internal rate of temporal progression is postulated todecrease, thereby reducing the observed group velocity of light. In the limiting case,complete coherence corresponds to zero internal temporal progression and stationary("stopped") light. This paper presents the proposal as a conceptual extension of SP3 ratherthan an established interpretation of Bose–Einstein condensates or the Schwarzschildsolution.