On the Relational Statistical Space-Time Concept

  • V. V. Aristov
Part of the NATO Science Series book series (NAII, volume 95)


The present paper is intended to discuss how to develop the statistical approach proposed in [1, 2]. According to the relational (or relative) principle, the properties of a model clock represent the properties of physical time. (This relational view goes back to physicists and philosophers such as Leibniz, Mach, Einstein, Poincare, and others) To construct a model of physical time implies constructing a model instrument for its measurement, namely, a clock. In the postulated basic equation, the increment of time is expressed through the average value of increments of spatial coordinates of particles of the system under consideration, and time and space are closely connected. The relationships correspond to conservation laws, and the standard motion equations are derived from this basic correspondence.


Regular Graph Euclidean Geometry Physical Time Model Clock Basic Correspondence 
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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • V. V. Aristov
    • 1
  1. 1.Dorodnicyn Computing Centre, Russian Academy of SciencesMoscowRussia

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