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Absolutheit der Gleichzeitigkeit im Euklidischen Universum


Prochnow, Dieter


Research Papers


Relativity Theory



Date Published:

July 5, 2012




Reihenfolge des Geschehens von Ereignissen, Absolutheit der Gleichzeitigkeit, Euklidisches Universum, Galilei - Zeit, Uhrenzeit


The considered work is concerned with the temporal sequence of events in systems of the universe. Einstein’s Special Theory of Relativity (SRT) allows events to take place as well simultaneously in one inertial system as also successively in other inertial systems. Thus, the temporal sequence of events, especially the simulta-neity of events, depends as well on systems as on observers (relativity of simultaneity). In the present work, the relativity of simultaneity in SRT is alternatively considered as property of the four-dimensional spacetime. In this connection, the temporal sequence of events still remains system-dependently but appears independently of observers in the inertial systems. System-independence can be reached in addition if proper-time of events is used instead of clock time to order the temporal sequence of events. But as the proper time is not the coordinate time of the time-like coordinate of spacetime in SRT, these results, bound up with others, gave rise to establish a Euclidean universe. In a Euclidean universe, the temporal sequence of events, especially the simultaneity of events, is independent of systems and observers and, moreover, it is a consistent property of space-time (absoluteness of simultaneity). Einstein’s well-known train example originally introduced to prove the relativity of simultaneity is additionally used here to illustrate the absoluteness of simultaneity.

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