This paper reports the current canonical observable simplified form of the ESSC map. Earlier ESSC stages showed that the system is better described by a branch-structured piecewise form than by a single global carrier law. ESSC v24 asks whether that frozen structure can be rewritten in a more direct observable language without losing predictive stability. The main result is that the high-side map is most stably carried not by the previously used compressed coordinate itself, but by a direct size-velocity observable backbone constructed from Rdisk, Reff, and Vflat, written as sizevelₘean. The paper further shows that the transition structure on the high side is real, but that its simplest stable expression is not a detailed local-slope law. Instead, the best simplified form is a constant-mix belt placed on the observable backbone. In the canonical frozen form, the backbone is sizevelₘean, the left edge is fixed at q1 = -0. 6059871588468594, the canonical first-choice right edge is q2 = 0. 014308447945494981, and the belt is represented by a constant root weight of 0. 25 between the two edges. Within this reading, the low branch remains reference-preserving, while the high-side structure is organized by an observable backbone plus a finite transition belt. The previously sharp high-side compressed coordinate is reinterpreted as a compressed state coordinate built from a deeper observable size-velocity bundle, rather than as an indispensable independent variable. The paper emphasizes that this is an observational frozen form supported by the current validation pipeline, not yet a first-principles derivation or a claim of final universal closure.
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umimoto (Sat,) studied this question.
www.synapsesocial.com/papers/69dc892e3afacbeac03eaefc — DOI: https://doi.org/10.5281/zenodo.19509851
umimoto
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