A System of Axioms for Minkowski Spacetime
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Philosophical Logic"
DOI: 10.1007/s10992-020-09565-6
Abstract: We present an elementary system of axioms for the geometry of Minkowski spacetime. It strikes a balance between a simple and streamlined set of axioms and the attempt to give a direct formalization in first-order… read more here.
Keywords: axioms minkowski; minkowski spacetime; system; system axioms ... See more keywords
On Fermi-Walker transformation for timelike flows in spacetime
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2021.104353
Abstract: Abstract In this manuscript, we firstly suggest different type for Fermi-Walker transportations along with flow lines of a non-vanishing vector field in Minkowski spacetime. Moreover, we construct the evolution equations of Frenet fields by Fermi-Walker… read more here.
Keywords: transformation timelike; minkowski spacetime; walker; timelike flows ... See more keywords
Embedding causal sets into Minkowski Spacetime
Sign Up to like & getrecommendations! Published in 2022 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ac5922
Abstract: We present a new method for embedding a causal set into an interval of Minkowski spacetime. The method uses spacetime volumes for causally related elements to define causal set analogs of Minkowski inner products. These… read more here.
Keywords: embedding causal; minkowski spacetime; causal set; causal sets ... See more keywords