International Journal of Theoretical Physics

, Volume 16, Issue 1, pp 13–33 | Cite as

Segmented structures

  • Alessandro Manià
  • Antonio Sparzani
Article
  • 47 Downloads

Abstract

A new mathematical structure is introduced, to be calledsegmented structure, defined by the assumption that for any pair of its pointsx, y a subset is defined, reasonably identifiable as “the segment joiningx andy.” The reason for such a research is the existence of a physically reasonable way of defining the segment joining two points of space-time. Thus, a powerful enough structure of space-time arises, which appears as deducible on physically reasonable grounds.

Keywords

Field Theory Elementary Particle Quantum Field Theory Mathematical Structure Segmented Structure 

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Reference

  1. Birkhoff, G. (1973).Lattice theory. (American Mathematical Society Colloquium Publications, Providence, R.I.), 3rd ed., Chap. VIII, Theorem 23.Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • Alessandro Manià
    • 1
    • 2
  • Antonio Sparzani
    • 1
    • 2
  1. 1.Istituto di Fisica dell'Università di MilanoMilanoItaly
  2. 2.Istituto Nazionale di Fisica Nucleare, Sezione di MilanoItaly

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