Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-07-15
Int.J.Geom.Meth.Mod.Phys.3:1293-1302,2006
Physics
High Energy Physics
High Energy Physics - Theory
10 pages
Scientific paper
10.1142/S0219887806001685
It has been argued that, underlying M-theoretic dualities, there should exist a symmetry relating the semiclassical and the strong-quantum regimes of a given action integral. On the other hand, a field-theoretic exchange between long and short distances (similar in nature to the T-duality of strings) has been shown to provide a starting point for quantum gravity, in that this exchange enforces the existence of a fundamental length scale on spacetime. In this letter we prove that the above semiclassical vs. strong-quantum symmetry is equivalent to the exchange of long and short distances. Hence the former symmetry, as much as the latter, also enforces the existence of a length scale. We apply these facts in order to classify all possible duality groups of a given action integral on spacetime, regardless of its specific nature and of its degrees of freedom.
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