The wave-digital method and some of its relativistic implications

摘要

The advantageous robustness properties obtainable in digital filtering and numerical integration by using the wave-digital principles are essentially due to the extensive use of concepts such as passivity and losslessness, which in turn rely directly on the use of the energy concept. If some of the ideas developed in this context are carried over to relativity theory, one discovers some alternative results that show interesting similarities as well as noteworthy differences to the classical ones. It is shown that by making some assumptions that, although differing from the conventional ones, are at least not a priori physically unreasonable, one is almost naturally led to the alternative expressions. This fact alone justifies the present interest in the subject