Time in Statistical Physics and Special Relativity

Relativity of superluminal observers in 1 + 3 spacetime

“…where in the last equality we applied the superflip (5). We also have similar relations for the superluminal action S ′ given by ( 31):…”

“…In particular, it was shown that when Galilean relativity (involving all inertial observers) is assumed in 1 + 1 dimensional spacetime, indeterministic behavior and motion along multiple paths analogous to quantum mechanical superpositions becomes inevitable. This result concluded the debate, initiated by Tolman [2], about alleged problems with causality triggered by the presence of superluminal particles in relativity [3][4][5][6][7][8][9][10][11].…”

“…V, (8) in which it becomes clear that it can be decomposed into the subluminal Lorentz boost (1) for velocity V → c 2 V V V followed by the superflip (5). The first operation takes an object moving with a superluminal speed V to a frame, in which the object moves infinitely fast, the latter goes to the rest frame of the object, in which r ′ is constant.…”

How Relativity Contradicts Presentism

“…But that is a doubtful manoeuvre. 250-511; see also Landsberg 1970Landsberg p. 1146. The latter argument has been carefully analysed by a number of authors: see Stein (1994), Earman (1996), andSavitt (1997).…”

“…Rietdijk's treatment, in particular, was just careful enough, and just muddled enough, to be conclusively refuted (see Torretti 1983, pp. 250-511; see also Landsberg 1970Landsberg p. 1146. I shall confine myself almost entirely to Putnam's argument, and to Stein's response to it (Stein 1978(Stein , 1991.…”