Special relativistic notation Minkowski space-time. Lorentz transformation

Special relativistic notation Minkowski space-time. Lorentz transformations [Pg.112]

An event in Minkowski space-time is defined, relative to a coordinate frame 5, by a 4-vector jc = (/t = 0,1,2,3) where Jt = ctis the time coordinate [Pg.112]

Special relativity asserts that, in the absence of gravitational fields, the speed of light is the same for all observers in free fall, the so-called inertial observers. Let S,S be inertial frames of two such observers the invariance of the speed of light implies that the coordinates of the same event, x in S and x = hx m S, must satisfy s = (x,x) = xf,x/). Since for every pair of vectors x,y. [Pg.112]

Equation (4) implies that (detA) = 1, detA = 1. It follows that A is a non-singular matrix, with A = g Ag. Along with contravariant vectors we associate covariant vectors (covectors) a such that [Pg.113]

Covectors transform under Lorentz transformations according to [Pg.113]

Big Chemical Encyclopedia

Chemical substances, components, reactions, process design ...