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April 29, 20260 citationsOpen Access

Model-X: A Constitutive Completion of Einstein Gravity in the Extreme-Curvature Regime

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YSYOGARAJAH SUBRAMANIAM

Key Points

  • The research aims to present a new model that modifies the framework of Einstein gravity in extreme-curvature scenarios.
  • Introduced Model-X as an action-based framework for Einstein gravity.
  • Analyzed the admissibility law for matter above a covariant threshold.
  • Established variational closure and recovery processes beneath the threshold.
  • Demonstrated local constitutive-core existence with bounded polynomial curvature invariants.
  • Found strong hyperbolicity within an admissibility shell.
  • Predicted echo-delay for ultracompact constitutive remnants.

Abstract

This preprint presents Model-X, an action-based constitutive completion of Einstein gravity in the extreme-curvature regime. The framework leaves the Einstein tensor untouched and modifies only the admissibility law for matter above a covariant threshold. The paper establishes variational closure, exact recovery below threshold, local constitutive-core existence with bounded polynomial curvature invariants, strong hyperbolicity on an admissibility shell, and a detector-facing echo-delay prediction for ultracompact constitutive remnants.

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YOGARAJAH SUBRAMANIAM (2026) studied this question.

synapsesocial.com/papers/69f154c0879cb923c4944f92https://doi.org/10.5281/zenodo.19824804
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