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February 8, 20260 citationsOpen Access

The Equivalence Principle Rigidity Theorem

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SGSimon F. Gates

Key Points

  • The theorem aims to show that universal gravitational coupling arises from closure rather than being an independent principle.
  • Proves theoretical implications of the equivalence principle
  • Analyzes the role of selective and composition-dependent coupling
  • Explores effects on closure and admissibility
  • Demonstrates that certain couplings introduce forbidden structures
  • Confirms that these couplings violate sectorwise admissibility
  • Establishes results as independent from geodesic motion or test-body discussions

Abstract

This theorem proves that universal gravitational coupling is not an independent postulate but a structural consequence of closure. Any selective, screened, or composition-dependent coupling is shown to introduce forbidden intrinsic structure or violate sectorwise admissibility. The result is classificatory and independent of geodesic motion, test-body arguments, or phenomenology.

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Cite This Study

Simon F. Gates (2026) studied this question.

synapsesocial.com/papers/6988290a0fc35cd7a8849136https://doi.org/10.5281/zenodo.18510291
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