In the approximation that every inertial observer experiences a homogeneous, uniform flow of time and sees a space that is Euclidean, the arena of physics is Minkowskian and one speed is the same in all intertial frames. If a given intertial observer finds an infinitesimal source or particle traveling faster than this fundamental speed near a given event, the source must appear in some inertial frame spread over neighboring positions at a given time as a spacelike structure. If this structure persists over a period of proper time, it can be interpreted as a wave group. If it is conserved, it can be interpreted as a line or tube of force.
KeywordsArena Proper Time Inertial Frame Uniform Flow Wave Group
Unable to display preview. Download preview PDF.
- 1.A. Einstein,Ann. Physik 17, 891 (1905).Google Scholar
- 2.O. M. P. Bilaniuk, V. K. Deshpande, and E. C. G. Sudarshan,Am. J. Phys. 30, 718 (1962).Google Scholar
- 3.G. Feinberg,Phys. Rev. 159, 1089 (1967).Google Scholar
- 4.N. Mukunda,Ann. Phys. 61, 329 (1970).Google Scholar
- 5.G. H. Duffey,Theoretical Physics: Classical and Modern Views (Houghton Mifflin Co., Boston, 1973).Google Scholar
- 6.T. S. Shankara,Found. Phys. 4, 97 (1974).Google Scholar