Einstein Field Equations as Constraint Geometry: A Structural Placement within the Paton System

This paper clarifies the structural role of the Einstein field equations within the Paton System. Without introducing new physical laws or modifying general relativity, the equations are interpreted as describing constraint geometry governing admissible structure. Spacetime curvature is treated as a manifestation of constraint distribution rather than an independent entity, and matter-energy terms are interpreted as constraint density within the system. This placement resolves interpretational ambiguity by distinguishing structural constraint from observable configuration while remaining fully consistent with established relativistic formalism.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-28
DOI
https://doi.org/10.5281/zenodo.19276738
Primary Topic
Relativity and Gravitational Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Einstein Field Equations as Constraint Geometry: A Structural Placement within the Paton System

Andrew John Paton
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
article

Einstein Field Equations as Constraint Geometry: A Structural Placement within the Paton System

Andrew John Paton
article en

Abstract

This paper clarifies the structural role of the Einstein field equations within the Paton System. Without introducing new physical laws or modifying general relativity, the equations are interpreted as describing constraint geometry governing admissible structure. Spacetime curvature is treated as a manifestation of constraint distribution rather than an independent entity, and matter-energy terms are interpreted as constraint density within the system. This placement resolves interpretational ambiguity by distinguishing structural constraint from observable configuration while remaining fully consistent with established relativistic formalism.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 4%
Relativity and Gravitational Theory
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