Towards Applying Computational Complexity to Foundations of Physics

Authors

Vladik Kreinovich, The University of Texas at El PasoFollow
Andrei Finkelstein

Publication Date

12-2004

Comments

UTEP-CS-04-13c.

Published in Notes of Mathematical Seminars of St. Petersburg Department of Steklov Institute of Mathematics, 2004, Vol. 316, pp. 63-110; reprinted in Journal of Mathematical Sciences, 2006, Vol. 134, No. 5, pp. 2358-2382.

Abstract

In one of his early papers, D. Grigoriev analyzed the decidability and computational complexity of different physical theories. This analysis was motivated by the hope that this analysis would help physicists. In this paper, we survey several similar ideas that may be of help to physicists. We hope that further research may lead to useful physical applications.