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Faraggi, Alon E; Matone, Marco, E-mail: alon.faraggi@liv.ac.uk, E-mail: marco.matone@pd.infn.it2015
AbstractAbstract
[en] The equivalence postulate approach to quantum mechanics aims to formulate quantum mechanics from a fundamental geometrical principle. Underlying the formulation there exists a basic cocycle condition which is invariant under D-dimensional Mobius transformations with respect to the Euclidean or Minkowski metrics. The invariance under global Mobius transformations implies that spatial space is compact. Furthermore, it implies energy quantisation and undefinability of quantum trajectories without assuming any prior interpretation of the wave function. The approach may be viewed as conventional quantum mechanics with the caveat that spatial space is compact, as dictated by the Möbius symmetry, with the classical limit corresponding to the decompactification limit. Correspondingly, there exists a finite length scale in the formalism and consequently an intrinsic regularisation scheme. Evidence for the compactness of space may exist in the cosmic microwave background radiation. (paper)
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DICE2014: 7. international workshop on decoherence, information, complexity and entropy; Castiglioncello (Italy); 15-19 Sep 2014; Available from http://dx.doi.org/10.1088/1742-6596/626/1/012016; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Literature Type
Conference
Journal
Journal of Physics. Conference Series (Online); ISSN 1742-6596;
; v. 626(1); [16 p.]

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