Mathematics of relativity theory: Groupoid Category versus Group
Prof. Zbigniew Oziewicz de FES-Cuautitlan
Isometric relativity theory postulates that reference systems can be permuted by an isometry only. We will discuss and compare mathematical concepts of reference systems (tetrad versus monad) and propose alternative theory that postulate Brandt's groupoid category, mathematical concept invented in 1926, as the relativity groupoid (that is not a group) instead of a relativity group.