On Geometrically Unified Fields and Universal Constants

Abstract

We consider the Cartan extension of Riemann geometry as the basis upon which to build the Sciama--Kibble completion of Einstein gravity, developing the most general theory in which torsion and metric have two independent coupling constants: the main problem of the ESK theory was that torsion, having the Newton constant, was negligible beyond the Planck scale, but in this ${\mathrm{ESK}}^2$ theory torsion, with its own coupling constant, may be relevant much further Planck scales; further consequences of these torsionally-induced interactions will eventually be discussed.

10 pages

References in corpus (2)

• Beyond Einstein-Cartan gravity: Quadratic torsion and curvature invariants with even and odd parity including all boundary terms
• On geometric relativistic foundations of matter field equations and plane wave solutions

Cited by in corpus (14)

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• Fermion Masses Through Condensation in Spacetimes with Torsion
• Singularity-free spinors in gravity with propagating torsion
• Fundamental Theory of Torsion Gravity
• On a purely geometric approach to the Dirac matter field and its quantum properties
• Torsion in Extra Dimensions and One-Loop Observables
• Updated limits on extra dimensions through torsion and LHC data
• A torsional completion of gravity for Dirac matter fields and its applications to neutrino oscillations
• On the geometry of the Dirac matter with the Fermionic potentials and its quantum properties
• A simple assessment on the hierarchy problem
• A simple assessment on inflation