How the Amount of Cracks and Potholes Grows with Time: Symmetry-Based Explanation of Empirical Dependencies

Authors

Edgar Daniel Rodriguez Velasquez, University of Texas at El PasoFollow
Olga Kosheleva, University of Texas at El PasoFollow
Vladik Kreinovich, University of Texas at El PasoFollow

Publication Date

8-2020

Comments

Technical Report: UTEP-CS-20-91B

Published in Proceedings of the International Conference on Smart Sustainable Materials and Technologies ICSSMT'2020, Madurai, India, August 12-13, 2020, American Institute of Physics (AIP) Conference Proceedings, 2020, Vol. 2297, Paper 020034.

Abstract

Empirical double-exponential formulas are known that describe how the amount of cracks and potholes in a pavement grows with time. In this paper, we show that these formulas can be explained based on natural symmetries (invariances) -- such as invariance with respect to changing the measuring unit or invariance with respect to changing a starting point for measuring time.