Additional Spatial Dimensions Can Help Speed Up Computations

Authors

Luc Longpre, The University of Texas at El PasoFollow
Olga Kosheleva, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

3-1-2021

Comments

Technical Report: UTEP-CS-21-30

Published in Proceedings of the 14th International Workshop on Constraint Programming and Decision Making CoProd'2021, Szeged, Hungary, September 12, 2021.

Abstract

While we currently only observe 3 spatial dimensions, according to modern physics, our space is actually at least 10-dimensional. In this paper, on different versions of the multi-D spatial models, we analyze how the existence of the additional spatial dimensions can help computations. It turns out that in all the versions, there is some speed up -- moderate when the extra dimensions are actually compactified, and drastic if extra dimensions are separated by a potential barrier.