The Dynamics of Moving Bodies without Lorentz's Invariance Part I: time and distance transformations

The present article proposes a theory of relativity which disentangles Einstein's relativistic approach from Lorentz's invariance principle, the latter being basically an Ether theory. This modification, termed Complete Relativity (CR) is justified both theoretically and experimentally. On the theoretical side it is argued, as done half a century ago by Herbert Dingle, that the inconsistency in Special Relativity theory (SR) is a result of Einstein's attempt to reconcile the theory with the Lorentz's electrodynamics. On the empirical side, questioning the adequacy of the Lorentz invariance principle is supported by numerous experimental results, attesting to symmetry-breaking at high enough energy, and by Quantum Gravity and other theories which allow for such breaking. In part I of the theory, presented here, I focus is on relativistic time and space under conditions of uniform motion. Relaxing the constraint of SR's second axiom yields time and distance transformations in which the direction of relative movement with respect to an observer has dramatic effects. The derived time and distance expressions are tested using three different types of experiments: The seminal Michelson-Morley null experiment, the famous Frisch and Smith muon decay experiment, and recent quasi-luminal neutrino experiments. Tests of the theory, using the above mentioned experiments, shows that it succeeds in predicting all the reported results. In comparison, SR, which is known to predict the results of the first two types of experiments, fails completely in predicting the results of the quasi-luminal neutrino experiments. Because in the quasi-luminal neutrino experiment the neutrinos depart from a source laboratory and approach a detector laboratory, their results qualify as a crucial test for comparison between SR and CR.