Causality and the Propagation of Relativistic Fields.
Abstract
The propagation of a field satisfying a typical relativistic field equation is investigated in order to determine the causal relations implicitly defined by that propagation. For a typical relativistic field it is found that a uniqueness theorem associated with Cauchy's initial value problem places an upper limit on the speed of propagation. This is necessary for the existence of a causal order relation between pairs of events in spacetime. It is shown that for any complex value of the mass the speed of light is an upper limit on the speed of propagation of the field and that a Lorentz invariant causal order relation exists. The role of Lorentz invariance in the propagation of more general relativistic fields is discussed.
 Publication:

Ph.D. Thesis
 Pub Date:
 1977
 Bibcode:
 1977PhDT........83R
 Keywords:

 Physics: General;
 Cauchy Problem;
 Propagation Velocity;
 Relativistic Effects;
 Relativistic Velocity;
 Analysis (Mathematics);
 Green'S Functions;
 Group Velocity;
 Lorentz Contraction;
 Tachyons;
 Communications and Radar