Symétrisation de la longueur et du temps dans un espace de Lorentz C3 en algèbre lineaire, pouvant servir en théorie trichromatique des couleurs
- 1 September 1975
- journal article
- Published by Canadian Science Publishing in Canadian Journal of Physics
- Vol. 53 (17) , 1687-1688
- https://doi.org/10.1139/p75-214
Abstract
It is proposed to express time as a composition of three auxiliary variables tx, ty, tz. which will be named components of vector t. Event P is expressed as a composition of six variables x, y, z, tx, ty, tz in R6 or of three coordinates ξ = x + itx, η = y + ity, and ζ = z + itz in C3. A quadratic function is defined, called 'carré simple', of P, which comes to the same as taking the square of the Lorentzian form of P in R4, equalling.s2. In this formalism, length r(x, y, z) and time t (tx, ty, tz) play roles exactly symmetrical and are exchangeable one for the other. This formalism will be applied to trichromatic theory.Keywords
This publication has 0 references indexed in Scilit: