Spacetime Geometry with Geometric Calculus
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-020-01076-6
Abstract: Geometric Calculus is developed for curved-space treatments of General Relativity and comparison is made with the flat-space gauge theory approach by Lasenby, Doran and Gull. Einstein’s Principle of Equivalence is generalized to a gauge principle… read more here.
Keywords: geometric calculus; geometry; spacetime geometry; geometry geometric ... See more keywords
Noncommutative spacetime geometry and one-loop effects in primordial cosmology
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DOI: 10.1103/physrevd.98.063518
Abstract: We study the effect of noncommutative spacetime geometry on one-loop corrections to the primordial curvature two-point function, arising from various forms of massless spectator matter fields interacting gravitationally with the inflaton. After deforming the algebra… read more here.
Keywords: spacetime geometry; one loop; cosmology; noncommutative spacetime ... See more keywords
Finsler spacetime geometry in physics
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887819410044
Abstract: Finsler geometry naturally appears in the description of various physical systems. In this review, I divide the emergence of Finsler geometry in physics into three categories: dual description of dispersion relations, most general geometric clock… read more here.
Keywords: spacetime geometry; physics; finsler spacetime; geometry ... See more keywords