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February 8, 20260 citationsOpen Access

Elastic Spacetime with Scale-Dependent Coupling (ESSC) v12 Prohibited Operations and Structural Admissibility: A Methodological Appendix

Uumimoto

Key Points

  • The central aim is to refine admissibility rules and define prohibited operations within the ESSC framework.
  • Enumerated a fixed list of prohibited operations (P1--P11)
  • Visualized structural faultlines that cause non-comparability
  • Established correspondence between prohibited operations and existing literature
  • Set criteria for declaring problems as non-resolvable
  • Provided a clear framework for assessing admissibility using prohibited operation indices
  • Identified sources of non-comparability in scientific debates
  • Highlighted the role of ESSC v12 as a consistency filter rather than a physical theory

Abstract

Elastic Spacetime with Scale-Dependent Coupling (ESSC) v12 presents amethodological appendix that fixes the admissibility rules used throughoutthe ESSC framework. ESSC v12 does not introduce new physical theories, dynamical equations,entities, forces, or predictive mechanisms. Instead, it explicitly enumeratesand stabilizes a canonical list of prohibited operations (P1--P11) thatrender cross-regime comparison structurally inadmissible when violated. The purpose of this version is to make explicit what earlier ESSC versions(v9--v11) relied on implicitly: that many persistent scientific debates arisenot from missing data or insufficient modeling, but from attempts to comparedescriptions across structurally non-comparable regimes. ESSC v12 provides:- a fixed list of prohibited operations (P1--P11),- a structural faultline map visualizing sources of non-comparability,- a three-way correspondence between prohibited operations, faultlines, and established methodological literature,- and explicit criteria for declaring a problem "non-resolvable as posed" without invoking error or failure. Throughout this work, all admissibility judgments are assessed exclusivelywith respect to the prohibited-operation indices (P1--P11) defined in theappendices. No additional constraints, optimizations, unification principles,or interpretive rules are introduced. ESSC v12 should be read as a consistency and admissibility filter, not as aphysical theory. Its role is to delimit where meaningful comparison ispossible, where translation is non-invertible, and where non-translationmust be treated as a legitimate outcome rather than a defect. This version serves as a reference specification for interpreting and applyingearlier ESSC versions, and is intended to prevent uncontrolled extension,forced closure, or retrospective reinterpretation of the framework.

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Cite This Study

umimoto (2026) studied this question.

synapsesocial.com/papers/698828eb0fc35cd7a8848cbbhttps://doi.org/10.5281/zenodo.18500092
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