Scope-Indexed Law Discrimination in Relational Quantum Cosmology: Actualized Data, Reachability, and Class-Restricted Fibres

A realized cosmological history need not uniquely identify its dynamical law. This paper formulates that statement operationally for relational quantum cosmology by distinguishing actualized records, physically reachable internal responses, and modal host responses. For finite second-order linear hosts it relates realized-history spans to Krylov/module-generation structure and separates carrier-generation thresholds from law-identification thresholds through class-restricted residual fibres. The framework is then specialized to source-native group-field-theory cosmology, including finite Fourier carriers, symmetry-induced degeneracy, interaction-induced carrier breakdown, non-autonomous tangent systems, physical readout limitations, and a source-exact prospective nonintersection test. The central boundary is between mathematical discrimination available in the host and discrimination physically instantiated by the declared relational contract.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-24
DOI
https://doi.org/10.5281/zenodo.22940062
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

Scope-Indexed Law Discrimination in Relational Quantum Cosmology: Actualized Data, Reachability, and Class-Restricted Fibres

masaki okada
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

Scope-Indexed Law Discrimination in Relational Quantum Cosmology: Actualized Data, Reachability, and Class-Restricted Fibres

masaki okada
preprint en

Abstract

A realized cosmological history need not uniquely identify its dynamical law. This paper formulates that statement operationally for relational quantum cosmology by distinguishing actualized records, physically reachable internal responses, and modal host responses. For finite second-order linear hosts it relates realized-history spans to Krylov/module-generation structure and separates carrier-generation thresholds from law-identification thresholds through class-restricted residual fibres. The framework is then specialized to source-native group-field-theory cosmology, including finite Fourier carriers, symmetry-induced degeneracy, interaction-induced carrier breakdown, non-autonomous tangent systems, physical readout limitations, and a source-exact prospective nonintersection test. The central boundary is between mathematical discrimination available in the host and discrimination physically instantiated by the declared relational contract.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions, Reduced inequalities
Noncommutative and Quantum Gravity Theories
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Scope-Indexed Law Discrimination in Relational Quantum Cosmology: Actualized Data, Reachability, and Class-Restricted Fibres — masaki okada · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS