Space and time symmetry

Abstract

Specific features of space and time symmetry following from the uniformity of time and uniformity and isotropy of space are used for finding geometric images possessing their symmetry. Space is ascribed the symmetry of a scalar, an axial vector, time, the symmetry of a pseudoscalar and a polar vector. The possibility of the representation of the reality as existing in two types of systems—those of space and time—is discussed. In the first system it is the rectilinear motion which is taken to be inertial and in second system it is the rotational motion. Real physical phenomena of our (space) reality meet the requirements of both operations—time reversal R( t→− t) and time inversion T which corresponds to the spacial inversion, 1 = c . The phenomena occurring in the time system meet the requirements of the operation inversion of space P = 1 = c . In the space system, space has only one sign (the expanding universe) and time has two signs. In the time system the situation is reverse—time has one sign and space has two signs.