By Peter Kroes (auth.)
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Additional info for Time: Its Structure and Role in Physical Theories
Example text
2J. It is highly dubious whether the choice for continwus time can be justifioo convincingly in this manner. In view of this situation, a hard-boiled conventionalist might claim that, since all alternatives are equally compatible with the available data, the decision to use continuous or discrete time has to be reachoo by a convention, and that therefore the problem is really a pseudo-problem. Ib'>Jever, I think rrost physicists would judge the situation otherwise~ for them it does matter whether time is continuous or discrete.
Clearly then, the association of the notion of onedimensional continoous time-atoms with discrete time is problematic. The same applies for the notion 'minimal duration' which stands for a minimum or lower bound (unequal zero) in the accuracy of time measurements. Whether or not such minimal duration actually exists is rather a controversial matter (18). It is, however, interesting that very often the existence of a minimal duration is regarded as a consequence of the discreteness of time: the exact location of the moment at which an event takes place within a time-atom would be impossible.
But this concept of time can hardly be called discrete, since the original discrete time-atoms have become closoo intervals (whether or not lying next to each other or touching each other) of this onedimensional continoous background time which functions as a kin1 of 'supertime'. Moreover, the discrete topology of time is lost, since the time-atoms are not closed arrl open time intervals. Clearly then, the association of the notion of onedimensional continoous time-atoms with discrete time is problematic.