The number of dimensional fundamental constants
We revisit, qualify, and objectively resolve the seemingly controversial question about what is the number of dimensional fundamental constants in Nature. For this purpose, we only assume that all we can directly measure are space and time intervals, and that this is enough to evaluate any physical...
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Zusammenfassung: | We revisit, qualify, and objectively resolve the seemingly controversial
question about what is the number of dimensional fundamental constants in
Nature. For this purpose, we only assume that all we can directly measure are
space and time intervals, and that this is enough to evaluate any physical
observable. We conclude that the number of dimensional fundamental constants is
two. We emphasize that this is an objective result rather than a "philosophical
opinion", and we let it clear how it could be refuted in order to prove us
wrong. Our conclusion coincides with Veneziano's string-theoretical one but our
arguments are not based on any particular theory. As a result, this implies
that one of the three usually considered fundamental constants "G", "c" or "h"
can be eliminated and we show explicitly how this can be accomplished. |
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DOI: | 10.48550/arxiv.0711.4276 |