Some consequences of a non-commutative space-time structure
Universidade Técnica de Lisboa and CMAF, Complexo Interdisciplinar, Av. Gama Pinto 2, 1649-003, Lisboa, Portugal
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The existence of a fundamental length (or fundamental time) has been conjectured in many contexts. Here we discuss some consequences of a fundamental constant of this type, which emerges as a consequence of deformation-stability considerations leading to a non-commutative space-time structure. This mathematically well defined structure is sufficiently constrained to allow for unambiguous experimental predictions. In particular we discuss the phase-space volume modifications and their relevance for the calculation of the Greisen-Zatsepin-Kuz’min sphere. The (small) corrections to the spectrum of the Coulomb problem are also computed.
© Springer-Verlag, 2005