An Approach to New Concept of Time on the Basis of Four Fundamental Forces of Nature

The purpose of this short write-up is simply to present a new concept of time, which giving us naturally Lorentz expression in a simple way with simple mathematics and also can be extended for 7-dimensional space-time continuum. In this write-up especially particular attention is given to the seven dimensional metric μν g . In metric or line element we introduced (3+4) dimensions where 3 usual space components and another 4 time components instead of 1, on the basis of the four fundamental forces of nature. Similar to the Lorentz’s transformation in 4 dimensional space-time continuums the 7 dimensional continuums also give the same type transformation equations. The fundamental tensors μν g occur both in the formula for interval and in the formula for trajectory. In the first case it appears as a set of quantities determining the nature of space-time geometry and in the second case the first derivatives of μν g appears in the Christoffel 3-index symbols. Notation The notational history of higher spacetimes is annoyingly confusing (like that of early tensor calculus), mainly because one normally denotes time as the ‘0’ index and 1, 2, 3 for the space indices. Using ‘4’, ‘5’, ‘6’ as the index for the fifth, sixth and seven dimensions seems to be problematic. Therefore I will use ‘5’ to denote the fifth, ‘6’ to sixth, ‘7’ to seventh dimension, so space and time dimensions will go like 1, 2, 3, 4, 5, 6, 7 as first 1, 2, 3 for space and another 4, 5, 6, 7 for time components. In denoting the full complement of 7 dimensional space time indices I will use the Greek indices (  ,  = 1, 2, 3, 4, 5, 6, 7). PACS: 04. , 04.20.-q, 04.20.Cv