There is a newer version of the record available.

Published February 4, 2026 | Version v10

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.

Files

Torsion FT.pdf

Files (560.5 kB)

Name Size Download all
md5:d99f841185df342f3634bf1f6bb166dc
560.5 kB Preview Download

Additional details

Dates

Updated
2026-01-25
Added new section 5: Universal Field Origin of Shells, Horizons, and Ladders
Updated
2026-01-27
Added new section 4: Spinor--Sheet Lagrangian for Light and the Hopf Map from the original 1995 idea
Updated
2026-01-29
new subsection 4.5: Phase, Hopf Fibers, and Euler Rotations
Updated
2026-02-02
New sections 7 and 8: 7 Scale–Invariant Shell Closure and Hierarchical Structure, 8 Closure Lengths and Piecewise Exponential Hierarchy
Updated
2026-02-03
New 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)
Updated
2026-02-04
New subsection: 11.2 Minimal bound-state ansatz: static spherical torsion shell & 13.1: First-principles derivation of the torsion source current

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.