Compact Time and Determinism for Bosons: foundations

Details Compact Time and Determinism for Bosons: foundations Compact Time and Determinism for Bosons: foundations

2009-03-23

arxiv.org/abs/0903.3680v5

Found.Phys.41:178-203,2011

Physics

High Energy Physics

High Energy Physics - Theory

For editorial reasons the present version (0903.3680v5 accepted for publication in Found. Phys.) is focused on the foundationa

Scientific paper

10.1007/s10701-010-9485-4

Free bosonic fields are investigated at a classical level by imposing their characteristic de Broglie periodicities as constraints. In analogy with finite temperature field theory and with extra-dimensional field theories, this compactification naturally leads to a quantized energy spectrum. As a consequence of the relation between periodicity and energy arising from the de Broglie relation, the compactification must be regarded as dynamical and local. The theory, whose fundamental set-up is presented in this paper, turns out to be consistent with special relativity and in particular respects causality. The non trivial classical dynamics of these periodic fields show remarkable overlaps with ordinary quantum field theory. This can be interpreted as a generalization of the AdS/CFT correspondence.

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