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June 17, 20260 citationsOpen Access

Renormalizable Flat-Background Scalar Gravity Coupled to the Standard Model

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RBRajeev Batra

Key Points

  • The research aims to present an Inertial Gravity Theory (IGT) that couples gravity with the Standard Model without requiring curved spacetime.
  • Introduced a flat-background scalar formulation of gravity via IGT.
  • Demonstrated one-loop perturbative renormalizability through explicit counterterm analysis.
  • Explored gravitational dynamics from changes in local inertial density described by a scalar field.
  • IGT reproduces classical tests of General Relativity, including light-bending and perihelion advance.
  • Introduces a new dimensionless coupling αp based on energy of the inertial-density field.
  • All operators in the IGT Lagrangian maintain dimension-4, confirming a consistent theoretical framework.

Abstract

Abstract We present Inertial Gravity Theory (IGT), a flat-background scalar formulation of gravity that couples consistently to the Standard Model while avoiding curved spacetime. In IGT, gravity is generated not by metric deformation but by changes in local inertial density described by a scalar field ρᵢ. Gravitational dynamics arise from an energy-partition mechanism in which field energy increases inertia and induces the physical scalings γg(r) that govern time, length, and energy in the field. These scalings reproduce all classical weak-field and strong-field tests of General Relativity, including light-bending, Shapiro delay, perihelion advance, and the tensorial quadrupole strain pattern observed by LIGO.IGT introduces a Planck-normalized dimensionless coupling αp = MQ/MP, where MQ c² is the energy of the quantized excitation of the inertial-density field (“inertion”). Although the mediator is a spin-0 scalar, tensorial gravitational-wave strain arises from second spatial derivatives of the scalar field under anisotropic radial scaling.All operators in the IGT Lagrangian are dimension-4, and explicit counterterm analysis demonstrates one-loop perturbative renormalizability. This yields a gauge-invariant, flat-background formulation of gravity without geometric structures that underlie GR and modern quantum gravity frameworks.

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Cite This Study

Rajeev Batra (2025) studied this question.

synapsesocial.com/papers/6a323b4cd50b63ecad205febhttps://doi.org/10.5281/zenodo.20695161
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