Renormalizable Flat-Background Scalar Gravity Coupled to the Standard Model version 4 Revised November 16 2025
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| Lingua: | inglese |
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2025
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| _version_ | 1866902021310775296 |
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| author | Batra, Rajeev |
| author_facet | Batra, Rajeev |
| contents | <p><span>Abstract</span></p> <p><span>We present a renormalizable scalar formulation of gravity, the Inertial Gravity Theory (IGT) that couples consistently to the Standard Model within a flat background. The theory replaces geometric curvature with a scalar inertial field<span> </span>that modifies local inertial density rather than spacetime itself</span><span>.</span><span> </span><span>IGT is novel because it reformulates gravitational interaction as a classical energy‑partition process in which the time and distance scalings in the field emerge from increase<span> </span>in inertia as field <span> </span>energy is applied to rest mass. The resulting field law replicates <span>all classical weak-field and strong field<span> </span>tests of General Relativity (GR)</span><span> [1-3]<span> </span></span><span>, including tensorial gravitational waves</span><span> </span>in a purely vector‑scalar framework<span>. We introduce dimensionless coupling αₚ = GM<sub>Q </sub>/</span></span><strong><span> </span></strong><span>ℓ<sub>P </sub>c<sup>2</sup> = M<sub>Q</sub> / M<sub>P</sub>, where M<sub>P</sub> = √(ℏ c / G) and M<sub>Q</sub> = mass of the single quantized excitation of the inertial field <span> </span>(e.g., particle or<span> </span>quantum). This is motivated by evaluating the geometric form α(r) = 2GM / (r c²) at the Planck length r = ℓ<sub>P</sub>, with ℓ<sub>P</sub> = √(ℏ G / c³).<span> </span></span><span>This establishes IGT as a self‑consistent, self‑renormalizing alternative to both metric gravity and quantum‑gravity <span>extensions</span><span> </span><span>[7,18,19] . All operators in the Lagrangian are dimension-4, ensuring perturbative renormalizability at one loop. Explicit counterterm analysis shows that divergences close on the original operator basis, without requiring higher-dimensional corrections or tensor structures. The framework preserves gauge invariance and canonical kinetic normalization, yielding a well-defined set of beta functions for both gravitational and gauge couplings . This<span> </span>provides a minimal, flat-background alternative to general relativity and scalar-tensor models, compatible with established quantum-field-theoretic methods and standard renormalization procedures.</span></span></p> <p><span> </span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17626096 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Renormalizable Flat-Background Scalar Gravity Coupled to the Standard Model version 4 Revised November 16 2025 Batra, Rajeev renormalizable gravity; flat-background field theory; scalar gravity; Standard Model coupling; quantum field theory; one-loop renormalization <p><span>Abstract</span></p> <p><span>We present a renormalizable scalar formulation of gravity, the Inertial Gravity Theory (IGT) that couples consistently to the Standard Model within a flat background. The theory replaces geometric curvature with a scalar inertial field<span> </span>that modifies local inertial density rather than spacetime itself</span><span>.</span><span> </span><span>IGT is novel because it reformulates gravitational interaction as a classical energy‑partition process in which the time and distance scalings in the field emerge from increase<span> </span>in inertia as field <span> </span>energy is applied to rest mass. The resulting field law replicates <span>all classical weak-field and strong field<span> </span>tests of General Relativity (GR)</span><span> [1-3]<span> </span></span><span>, including tensorial gravitational waves</span><span> </span>in a purely vector‑scalar framework<span>. We introduce dimensionless coupling αₚ = GM<sub>Q </sub>/</span></span><strong><span> </span></strong><span>ℓ<sub>P </sub>c<sup>2</sup> = M<sub>Q</sub> / M<sub>P</sub>, where M<sub>P</sub> = √(ℏ c / G) and M<sub>Q</sub> = mass of the single quantized excitation of the inertial field <span> </span>(e.g., particle or<span> </span>quantum). This is motivated by evaluating the geometric form α(r) = 2GM / (r c²) at the Planck length r = ℓ<sub>P</sub>, with ℓ<sub>P</sub> = √(ℏ G / c³).<span> </span></span><span>This establishes IGT as a self‑consistent, self‑renormalizing alternative to both metric gravity and quantum‑gravity <span>extensions</span><span> </span><span>[7,18,19] . All operators in the Lagrangian are dimension-4, ensuring perturbative renormalizability at one loop. Explicit counterterm analysis shows that divergences close on the original operator basis, without requiring higher-dimensional corrections or tensor structures. The framework preserves gauge invariance and canonical kinetic normalization, yielding a well-defined set of beta functions for both gravitational and gauge couplings . This<span> </span>provides a minimal, flat-background alternative to general relativity and scalar-tensor models, compatible with established quantum-field-theoretic methods and standard renormalization procedures.</span></span></p> <p><span> </span></p> |
| title | Renormalizable Flat-Background Scalar Gravity Coupled to the Standard Model version 4 Revised November 16 2025 |
| topic | renormalizable gravity; flat-background field theory; scalar gravity; Standard Model coupling; quantum field theory; one-loop renormalization |
| url | https://doi.org/10.5281/zenodo.17626096 |