Spacetime Cannot Be Fundamental - The premetric bearer of geometry quantum evolution and classical identity

Spacetime cannot be the self-sufficient foundation of its own constitution and identity under transformation. Geometry can supply an effective reference within a physical regime and can itself evolve, but the two uses must belong to a determinate architecture that identifies the bearer, the reference and the admissible continuation. This paper develops that thesis through the three LP axes of Constitution, Transformation and Coexistence. The complete spacetime–matter process is constituted before metric representatives, quantum states or classical records are used to identify it. Constitution identity, persistence class and continuation-stable profile identity remain distinct. The principal result is an exact criterion for a spacetime reduction. A geometric map is sufficient for the retained physical question precisely when its fibres preserve constitution, the relevant continuation verdicts and projected dynamics. A frozen-dynamics construction proves that perfect geometric autonomy can coexist with constitution erasure. A history construction proves that even a complete present profile can omit continuation identity. These results identify what a metric description must retain, rather than treating every evolving metric as a contradiction. The premetric layer is specified as a complete physical bearer with Frame, Module and Coupling roles. Its transition graph yields an acyclic order after strongly connected components are condensed. A rank-growing causal-set realization makes that order nontrivial. An explicit sourcewise Kraus construction preserves quantum information on the full carrier while permitting an erasing reduced channel. The Gelfand–Naimark–Segal construction is given with its algebraic and state data, and the unitary implementation theorem is proved for state-preserving automorphisms. Finite distinguishing capacity supplies an information bound; the gravitational area coefficient belongs to its physical realization. The original applications to black-hole information, ultraviolet gravity, relational time, measurement, decoherence, classical worlds, observers and quantum computation are retained and developed. Geometry, record accessibility, temporal retention and outcome actualization are separately typed. A certified recovery theorem connects a projective, strongly positive premetric history family to geometric observables without modifying its fundamental dynamics. Papers 40 and 170 enter through their substantive problems and calculations, with the necessary results established here. The physical unification construction supplies context, while this paper proves the structural requirements and finite witnesses at their argument sites.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-03
DOI
https://doi.org/10.5281/zenodo.23118389
Primary Topic
Relativity and Gravitational Theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Spacetime Cannot Be Fundamental - The premetric bearer of geometry quantum evolution and classical identity

Marc Maibom
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
article

Spacetime Cannot Be Fundamental - The premetric bearer of geometry quantum evolution and classical identity

Marc Maibom
article en

Abstract

Spacetime cannot be the self-sufficient foundation of its own constitution and identity under transformation. Geometry can supply an effective reference within a physical regime and can itself evolve, but the two uses must belong to a determinate architecture that identifies the bearer, the reference and the admissible continuation. This paper develops that thesis through the three LP axes of Constitution, Transformation and Coexistence. The complete spacetime–matter process is constituted before metric representatives, quantum states or classical records are used to identify it. Constitution identity, persistence class and continuation-stable profile identity remain distinct. The principal result is an exact criterion for a spacetime reduction. A geometric map is sufficient for the retained physical question precisely when its fibres preserve constitution, the relevant continuation verdicts and projected dynamics. A frozen-dynamics construction proves that perfect geometric autonomy can coexist with constitution erasure. A history construction proves that even a complete present profile can omit continuation identity. These results identify what a metric description must retain, rather than treating every evolving metric as a contradiction. The premetric layer is specified as a complete physical bearer with Frame, Module and Coupling roles. Its transition graph yields an acyclic order after strongly connected components are condensed. A rank-growing causal-set realization makes that order nontrivial. An explicit sourcewise Kraus construction preserves quantum information on the full carrier while permitting an erasing reduced channel. The Gelfand–Naimark–Segal construction is given with its algebraic and state data, and the unitary implementation theorem is proved for state-preserving automorphisms. Finite distinguishing capacity supplies an information bound; the gravitational area coefficient belongs to its physical realization. The original applications to black-hole information, ultraviolet gravity, relational time, measurement, decoherence, classical worlds, observers and quantum computation are retained and developed. Geometry, record accessibility, temporal retention and outcome actualization are separately typed. A certified recovery theorem connects a projective, strongly positive premetric history family to geometric observables without modifying its fundamental dynamics. Papers 40 and 170 enter through their substantive problems and calculations, with the necessary results established here. The physical unification construction supplies context, while this paper proves the structural requirements and finite witnesses at their argument sites.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 11%
Relativity and Gravitational Theory
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.