A Novel Equivalence Relation in Relativity

This is the initial version submitted to PRL on 11/14/2019This paper proves a proposition which says that existence in a spacetime which meets four commonly satisfied principles is an equivalence relation by absolute dimensionality, and briefly discusses three of its implications: (1) the equivalence relation opens the serious possibility for things to exist in a physical sense without existing in spacetime, (2) it establishes a novel classical geometric correspondence between proper time intervals and Euclidean distances in a spacetime one dimension higher, and (3) it may serve as a theoretical tool for checking the internal consistency of higher- dimensional models of reality.https://deepblue.lib.umich.edu/bitstream/2027.42/152115/1/A_novel_equivalence_relation_in_relativity.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/152115/4/A_novel_equivalence_relation_in_relativity.pdf7