Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)

Physics's Need for Interval Uncertainty and How It Explains Why Physical Space Is (at Least) 3-Dimensional

Authors
Olga Kosheleva, Vladik Kreinovich
Corresponding Author
Vladik Kreinovich
Available Online August 2019.
DOI
10.2991/eusflat-19.2019.25How to use a DOI?
Keywords
divergence problem in physics interval uncertainty fuzzy uncertainty physical dimension
Abstract

One of the fundamental problems of modern physics is the problem of divergence: e.g., when we try to compute the overall energy of the electric field generated by a charged elementary particle, we get a physically meaningless infinite value. In this paper, we show that one way to avoid these infinities is to take into account that measurements are always imprecise -- and thus, we never get the exact values of the physical quantities, only intervals of possible values. We also show that 3-dimensional space is the simplest one in which such interval uncertainty is inevitable. This may explain why the physical space is (at least) 3-dimensional.

Copyright
© 2019, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
August 2019
ISBN
10.2991/eusflat-19.2019.25
ISSN
2589-6644
DOI
10.2991/eusflat-19.2019.25How to use a DOI?
Copyright
© 2019, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Olga Kosheleva
AU  - Vladik Kreinovich
PY  - 2019/08
DA  - 2019/08
TI  - Physics's Need for Interval Uncertainty and How It Explains Why Physical Space Is (at Least) 3-Dimensional
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 166
EP  - 169
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.25
DO  - 10.2991/eusflat-19.2019.25
ID  - Kosheleva2019/08
ER  -