Special Relativity.nb
1
Special Relativity (Lorentz transformations) Dr. Luigi E. Masciovecchio email:
[email protected] (first published on http://mio.discoremoto.alice.it/luigimasciovecchio/, november 2009) available as notebook and PDF on http://sites.google.com/site/luigimasciovecchio/ 2017.06.19 Print@"Document revision: ", IntegerPart@Date@DDD Document revision: 82017, 6, 19, 7, 57, 44
v2 c2
For | Dx/Dt | < c (time-like intervals) the sign of the time interval doesn't change in the Lorentzian case.
1.4 Zweites Relativitätsargument. Second relativity argument. From the preceding section we have: K
L@0, 0D L@0, 1D O=Γ L@1, 0D L@1, 1D
Lsc MatrixForm Γ
-
vΓ c2
-v Γ Γ 0 0 0 0
0
1
- v c2
-v
1
;
0
0 0 L@2, 2D 0 0 L@2, 2D
F) Two frames obtained by the substitutions x®- x and z®- z in O and x'®- x' and z'®- z' in O' are connected by the same transformation matrix L, we have proved that v = - v' (reciprocity), we have also the continuity of L(v) and L(v=0) = 1 (identity). This implies: xzInvertion = DiagonalMatrix@81, - 1, 1, - 1