Scale-invariant cosmology in de Sitter gauge theory

Abstract

The Planck mass and the cosmological constant determine the minimum and the maximum distances in the physical universe. A relativistic theory that takes into account a fundamental distance limit $\ell$ on par with the fundamental speed limit $c$, is based on the de Sitter extension of the Lorentz symmetry. This article proposes a new de Sitter gauge theory of gravity which allows the consistent cosmological evolution of the $\ell$. The theory is locally equivalent to Dirac's scale-invariant version of general relativity, and suggests a novel non-singular extension of cosmology.

9 pages, 0 figures

References in corpus (13)

• de Sitter special relativity
• Foundational issues in f(T) gravity theory
• Review of the Hamiltonian analysis in teleparallel gravity
• Higgs inflation and teleparallel gravity
• de Sitter Relativity: a New Road to Quantum Gravity?
• General cosmological perturbations in teleparallel gravity
• Teleparallel axions and cosmology
• Post-Newtonian limit of generalized scalar-torsion theories of gravity
• Large Number Hypothesis: A Review
• Conformal Teleparallel Theories and Weyl Geometry
• Cartan geometry of spacetimes with a nonconstant cosmological function $\Lambda$
• Crossing the Big Bang singularity
• Is conformal symmetry really anomalous?

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• Cosmology in the Lorentz gauge theory
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• Lost in translation: the Abelian affine connection (in the coincident gauge)