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April 7, 20260 citationsOpen Access

Instantiating No External Model Selection in Physics Macroscopic Records, Non-Categoricity, and a Criterion for Class IIb

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NSNova Spivack

Key Points

  • The aim is to establish a framework for understanding macroscopic records in physics without external model selection.
  • Fixed an observational fragment based on stable macroscopic records
  • Developed conditions for systems in Class IIb relative to record language
  • Introduced the concept of record language LangRec and its semantics
  • Proposed a minimality theorem to define observational commitments in empirical science
  • Class IIb classification is conditional on observational multiplicity
  • Demonstrated that diagonal-capable self-reference limits effective selection
  • Provided both theoretical and operational definitions critical for empirical science

Abstract

We instantiate the No External Model Selection Theorem in a physics-grounded setting by fixing an observational fragment based on stable macroscopic records. Building on the universality-class classification of realized systems under single actuality, no external model selection, and no free completion bits, we provide explicit sufficient conditions under which a realized universe must lie in Class IIb relative to the record language: observational multiplicity forces internal selection, and diagonal-capable self-reference on the same record fragment forbids total effective selection. The paper contributes (i) a minimal, operational definition of a record language and its record-truth semantics; (ii) a minimality theorem showing that captures the weakest standard observational commitments needed for empirical science; (iii) two complementary routes to establishing record-level non-categoricity in physically universal systems; and (iv) a theorem package separating a core Class IIb criterion from domain-specific premises that imply its hypotheses. The result is a conditional but sharp classification statement about the semantic architecture required of any closed, definite, computationally universal physical world. Trust boundary. Class IIb claims are conditional on the record-language and computability premises of this paper; the classification engine itself is in Paper 2, with formal companions in nems-lean. See.

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Cite This Study

Nova Spivack (2026) studied this question.

synapsesocial.com/papers/69d49f44b33cc4c35a227c2fhttps://doi.org/10.5281/zenodo.19429719
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