arXiv subjects
Publications and source records attributed to Bing Hurl.
Through the analysis of the definition of the duration of proper time of a particle given by the length of its world line, we show that there is no transitivity of the coordinate time function derived from the definition, so there exists an ambiguity in the determination of the duration of the proper time for the particle. Its physical consequence is illustrated with quantum measurement effect.
Based on the principle of relativity, we find that the sufficient and necessary condition for the general covariance of a field theory actually requires more than the invariance of its local Langrangian density. If the spacetime is not a flat one, its derivative requirement from the analysis of the parallel transportation of tensor fields over spacetime restricts the generally supposed covariance group, the group of differmorphisms, to the group of linear coordinate transformations. Moreover, for any a field theory with linear equations of motion, it stipulates for a universal physical propagation speed of interaction over the spacetime manifold.