A Dynamical Torsion Field Theory of Gravity and Cosmology
Description
The present work establishes the foundational field-theoretic structure of the torsion--expansion framework and demonstrates its consistency with known weak-field, Solar-System, and cosmological limits. However, the analysis is intentionally restricted to the construction of the covariant action, the identification of sourced field equations, the derivation of the Newtonian limit, and the formulation of the perturbative framework. A complete mode-by-mode perturbation analysis, explicit strong-field solutions of the coupled system, and detailed confrontation with observational datasets lie beyond the scope of this paper and are reserved for dedicated companion studies. Accordingly, the strong-field sector is parameterised phenomenologically, and the perturbation results are presented at the level of stability structure and programme definition rather than full spectral classification.
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Torsion FT v2.1.pdf
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Additional details
Dates
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2026-01-25Added new section 5: Universal Field Origin of Shells, Horizons, and Ladders
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2026-01-27Added new section 4: Spinor--Sheet Lagrangian for Light and the Hopf Map from the original 1995 idea
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2026-01-29new subsection 4.5: Phase, Hopf Fibers, and Euler Rotations
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2026-02-02New sections 7 and 8: 7 Scale–Invariant Shell Closure and Hierarchical Structure, 8 Closure Lengths and Piecewise Exponential Hierarchy
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2026-02-03New subsections: 4.11 Magnetism as relativistic phase transportand 4.12 Lorentz force as phase--transport extremisation Appendix EQED Feynman rules as sheet--interaction bookkeeping (interpretive dictionary)
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2026-02-04New subsection: 11.2 Minimal bound-state ansatz: static spherical torsion shell & 13.1: First-principles derivation of the torsion source current
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2026-02-17New subsection 4.3: From torsion bias to an emergent electromagnetic potential
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2026-03-05New section added: 9.7 IR--UV Bridge: one torsion--phase carrier for cosmic gravity and quantum structure
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2026-03-30Subsections 10.5 Stability of the Homogeneous Background and 12.2 Cosmological Perturbations sign inconsistency corrected.
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2026-04-20subsection 6.3 link for light to matter idea in QFT paper added
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2026-04-21Subsection 4.11 updated with link to QED QCD paper
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2026-04-22new paragraph end subsection 6.3 : Entanglement as the correlated transport benchmark of the light sector.
References
- Jacobson,T., and Mattingly, D., (2001) Gravity with a dynamical preferred frame, Phys. Rev. D 64, 024028. DOI: 10.1103/PhysRevD.64.024028, arXiv: gr-qc/0007031.
- Heisenberg, L., (2014) Generalization of the Proca Action, J. Cosmol. Astropart. Phys. 05, 015. DOI: 10.1088/1475-7516/2014/05/015, arXiv: 1402.7026.
- Armendáriz-Picón, C.,(2004) Could dark energy be vector-like?, J. Cosmol. Astropart. Phys. 07, 007. DOI: 10.1088/1475-7516/2004/07/007, arXiv: astro-ph/0405267.
- Hehl, F.W., von der Heyde, P., Kerlick, G.D., and Nester, J.M.,(1976) General Relativity with Spin and Torsion, Rev. Mod. Phys. 48, 393–416. DOI: 10.1103/RevModPhys.48.393.