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March 29, 20260 citationsOpen Access

Simple Gravity: A Scalar Refractive Framework for Gravitational Phenomena

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EREdnilson Rodrigues

Key Points

  • The research aims to develop a scalar framework to understand gravitational phenomena and predict deviations from General Relativity.
  • Introduced a scalar formulation grounded in gravitational potential
  • Defined an effective refractive index
  • Analyzed light deflection and Shapiro time delay under this framework
  • Examined higher-order deviations and their observability in astrophysics.
  • Reproduced predictions of General Relativity for light deflection and Shapiro time delay
  • Identified observable second-order corrections to these phenomena
  • Predicted a unique strong-field structure without a finite-radius event horizon
  • Highlighted potential distinguishable effects in gravitational lensing studies.

Abstract

This work presents Simple Gravity, a scalar formulation of gravitational phenomena based on an exponential modification of propagation governed by a gravitational potential Φ, with an effective refractive index n (Φ) = e^-2Φ/c². The framework reproduces the leading-order predictions of General Relativity for light deflection and Shapiro time delay, while introducing well-defined higher-order deviations. These deviations remain consistent with current observational constraints and provide clear testable predictions in high-precision regimes. The theory predicts a distinct strong-field structure characterized by continuous suppression of signal propagation without the formation of a finite-radius event horizon. This leads to an alternative interpretation of compact objects and black hole observations. Observable consequences include second-order corrections to light deflection, modifications to the Shapiro time delay, and strong-field effects potentially distinguishable in gravitational lensing and Event Horizon Telescope observations. The results establish Simple Gravity as a consistent and testable non-geometric framework for gravitational physics.

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Cite This Study

Ednilson Rodrigues (2026) studied this question.

synapsesocial.com/papers/69c8c35cde0f0f753b39e2a2https://doi.org/10.5281/zenodo.19243531
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