The θ-Field Between Electric and Magnetic Fields as a Fundamental Variable of Space-Time: Geodesics, Light Deflection, Cosmological Extension, and Numerical Constraints — Version 11
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2026
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| _version_ | 1866902252808044544 |
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| author | Tajada Herraiz, José Luis |
| author_facet | Tajada Herraiz, José Luis |
| contents | <p>This speculative preprint presents Version 11 of the θ-field framework, a proposed electromagnetic scalar-gravity candidate in which the angle θ between electric and magnetic field vectors is treated as a dynamic Lorentz-scalar field θ(x). Within the framework, gravitational behaviour is associated with spatial gradients of θ, while the standard electromagnetic vacuum is recovered as the limiting condition θ → 90°.</p> <p>Version 11 consolidates previous developments and adds the first numerical cosmological results. The manuscript includes a regularised Lorentz-covariant definition of the θ-field with the regularisation scale fixed at the Planck length, an effective Lagrangian, a full stress-energy coupling, a derivation of the Newtonian weak-field limit, test-particle geodesics, and an explicit solar light-deflection calculation yielding 1.7505 arcsec in the β₂ = 0 limit. It also discusses the quantum extension, Ward identities, ghost decoupling in Lorenz gauge, and a structured list of remaining QFT and gravitational open problems.</p> <p>A central update inherited from v10.1 is the partial resolution of OP-GR-1 through Sakharov induced gravity. Under a Planck-scale proper-time cutoff and an effective field theory truncation to dimension-four operators, the one-loop θ-field path integral induces an Einstein-like gravitational action, with the non-minimal coupling fixed by the matching condition ξ = 1/6 − 1/(2π) ≈ 0.0076. This result is explicitly presented as scheme-dependent at one loop and not as a complete derivation of general relativity.</p> <p>The main new contribution of Version 11 is the numerical integration of the FLRW-θ coupled system for several values of the coupling β using Planck 2018 cosmological parameters. These calculations provide θ₀(z) profiles across cosmic history, the first quantitative constraints on the θ-photon polarisation coupling αc from CMB birefringence bounds, and a numerical resolution of the Mercury perihelion-precession test within the slow-roll regime. The paper identifies CMB EB/TB polarisation correlations, EHT polarimetry, and future LiteBIRD measurements as relevant observational tests.</p> <p>This work is not peer-reviewed and does not claim to establish a completed theory of gravity. It is presented as a falsifiable speculative research programme with explicit separation between derived results, phenomenological extensions, numerical constraints, and open problems.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19736838 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The θ-Field Between Electric and Magnetic Fields as a Fundamental Variable of Space-Time: Geodesics, Light Deflection, Cosmological Extension, and Numerical Constraints — Version 11 Tajada Herraiz, José Luis scalar gravity light deflection electromagnetic scalar gravity theta field; θ-field Lorentz scalar induced gravity Planck scale geodesics perihelion precession FLRW cosmology CMB polarisation cosmic birefringence EB correlation LiteBIRD speculative physics quantum field theory in curved spacetime <p>This speculative preprint presents Version 11 of the θ-field framework, a proposed electromagnetic scalar-gravity candidate in which the angle θ between electric and magnetic field vectors is treated as a dynamic Lorentz-scalar field θ(x). Within the framework, gravitational behaviour is associated with spatial gradients of θ, while the standard electromagnetic vacuum is recovered as the limiting condition θ → 90°.</p> <p>Version 11 consolidates previous developments and adds the first numerical cosmological results. The manuscript includes a regularised Lorentz-covariant definition of the θ-field with the regularisation scale fixed at the Planck length, an effective Lagrangian, a full stress-energy coupling, a derivation of the Newtonian weak-field limit, test-particle geodesics, and an explicit solar light-deflection calculation yielding 1.7505 arcsec in the β₂ = 0 limit. It also discusses the quantum extension, Ward identities, ghost decoupling in Lorenz gauge, and a structured list of remaining QFT and gravitational open problems.</p> <p>A central update inherited from v10.1 is the partial resolution of OP-GR-1 through Sakharov induced gravity. Under a Planck-scale proper-time cutoff and an effective field theory truncation to dimension-four operators, the one-loop θ-field path integral induces an Einstein-like gravitational action, with the non-minimal coupling fixed by the matching condition ξ = 1/6 − 1/(2π) ≈ 0.0076. This result is explicitly presented as scheme-dependent at one loop and not as a complete derivation of general relativity.</p> <p>The main new contribution of Version 11 is the numerical integration of the FLRW-θ coupled system for several values of the coupling β using Planck 2018 cosmological parameters. These calculations provide θ₀(z) profiles across cosmic history, the first quantitative constraints on the θ-photon polarisation coupling αc from CMB birefringence bounds, and a numerical resolution of the Mercury perihelion-precession test within the slow-roll regime. The paper identifies CMB EB/TB polarisation correlations, EHT polarimetry, and future LiteBIRD measurements as relevant observational tests.</p> <p>This work is not peer-reviewed and does not claim to establish a completed theory of gravity. It is presented as a falsifiable speculative research programme with explicit separation between derived results, phenomenological extensions, numerical constraints, and open problems.</p> |
| title | The θ-Field Between Electric and Magnetic Fields as a Fundamental Variable of Space-Time: Geodesics, Light Deflection, Cosmological Extension, and Numerical Constraints — Version 11 |
| topic | scalar gravity light deflection electromagnetic scalar gravity theta field; θ-field Lorentz scalar induced gravity Planck scale geodesics perihelion precession FLRW cosmology CMB polarisation cosmic birefringence EB correlation LiteBIRD speculative physics quantum field theory in curved spacetime |
| url | https://doi.org/10.5281/zenodo.19736838 |