Torqued Substrate Theory — Gravity / General Relativity (Expanded Module)

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Authors: Scott Riley
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Abstract

This document presents the Gravity / General Relativity Expanded Module of Torqued Substrate Theory (TST). Gravity is treated as redistribution of admissibility under projection rather than as force propagation or ontological spacetime curvature. Curvature encodes variation in admissibility density arising from constraint persistence, without commitment to spacetime as substance or geometry as causal agent. The module re-expresses the Einstein field equations as projection-level closure identities, provides worked examples, diagnostics for category errors, and an explicit construction sketch demonstrating compatibility and uniqueness. This module depends on the Spacetime / Relativity Expanded Module and hands off to Cosmology when admissibility must be treated globally. Version note: This release corrects a containment-notation error in earlier versions where ontological dependence was incorrectly expressed using formal containment notation. The formal containment invariant is ⟦Φ⟧ ⊂ Δ ⊂ ⟦O⟧. Earlier versions remain accessible for record integrity.

Fields of Study & Subjects

Relativity and Gravitational Theory Cosmology and Gravitation Theories Advanced Differential Geometry Research

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
17 January 2026