Diachronic Representation of Space-Time Applied to Problems in Special Relativity and in Quantum Optics

摘要

A central observer at Greenwich builds in real time a diachronic representation of4-D(t) space-time by assigning two distinct times to a given remote event, such as a meteorite impact on Mars: (1) diachronic time read on his Greenwich clock (GMT) at observation time, and (2) synchronic or local Einstein time as directly seen from Greenwich on the Mars clock. In a spherical coordinate system the Greenwich diachronic observer uses local Einstein time relative to diachronic time as a radial coordinate, leaving the role of the fourth coordinate to diachronic time. In a 4-D(t) conceptual framework the same diachronic time applies integrally to all directly observed local Einstein times, thus implying an infinite diachronic speed for incoming light. In the 4-D(t) conceptual framework the detection of a photon is considered to be an instantaneous transfer of energy and momentum across the time gap between emitter and receiver. The Lorentz transformation can be obtained by requiring that history updated now and here be the same for another observer flying by. Some results are (1) the conventional (synchronic) speed of light c is identified with the flow of time, (2) the twin paradox is resolved in a twin-symmetric fashion, and (3) a new solution for the Einstein-Podolsky-Rosen paradox maintains harmony between special relativity and quantum mechanics. The diachronic approach presents the pedagogical advantage of using a single diagram to display space-time relationships of events in two coordinate systems in relative motion.