Skip to main content
Log in

From a connected, partially ordered set of events to a partially ordered field of time intervals

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

Starting from a connected, partially ordered set of events, it is shown that results of the measurement of time are elements of a partially ordered and filtering field, as used in a previous paper. Moreover, some relations between physical formulas and properties of the field are proved. Finally, some open problems and suggestions are pointed out. For the convenience of the reader not acquainted with elementary algebraic methods, proofs are given in detail.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. D. Aleksandrov,Annali di Mat. pura ed appl. 1975 (IV), 229.

  2. A. D. Aleksandrov,Vestnik Leningrad Univ. 19, 5 (1976).

    Google Scholar 

  3. L. Fuchs,Partially Ordered Algebraic Systems (Oxford, 1963).

  4. N. Jacobson,Lectures in Abstract Algebra (Princeton, 1964), Vol. III.

  5. P. G. Vroegindewey, V. Ja. Kreinovič, and O. M. Kosheleva,Proc. Kon. Ned. Akad. Wetensch. A82 (=Indag. Math. 41), 363 (1979).

    Google Scholar 

  6. P. G. Vroegindewey, V. Ja. Kreinovič, and O. M. Kosheleva, Memorandum, Eindhoven (1979).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vroegindewey, P.G., Kreinovič, V.J. & Kosheleva, O.M. From a connected, partially ordered set of events to a partially ordered field of time intervals. Found Phys 10, 469–484 (1980). https://doi.org/10.1007/BF00708743

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00708743

Keywords

Navigation