Universal Geometric Approach to Uncertainty, Entropy and Information Ii 1-and 2-dimensional Examples a Length B Comparisons C Uncertainty Relations D Area and Spot Size Iii Ensemble Volume a Notation B Postulates for Volume


It is shown that a unique measure of volume is associated with any statistical ensemble, which directly quantifies the inherent spread or localisation of the ensemble. It is applicable whether the ensemble is classical or quantum, continuous or discrete, and may be derived from a small number of theory-independent geometric postulates. Remarkably, this… (More)


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