Preprint Short Note Version 1 Preserved in Portico This version is not peer-reviewed

Optima and Simplicity in Nature

Version 1 : Received: 18 August 2022 / Approved: 18 August 2022 / Online: 18 August 2022 (03:51:21 CEST)

How to cite: Dingle, K. Optima and Simplicity in Nature. Preprints 2022, 2022080330 (doi: 10.20944/preprints202208.0330.v1). Dingle, K. Optima and Simplicity in Nature. Preprints 2022, 2022080330 (doi: 10.20944/preprints202208.0330.v1).

Abstract

Why are simple, regular, and symmetric shapes common in nature? Many natural shapes arise as solutions to energy minimisation or other optimisation problems, but is there a general relation between optima and simple, regular shapes and geometries? Here we argue from algorithmic information theory that for objective functions common in nature --- based on physics and engineering laws --- optimal geometries will be simple, regular, and symmetric. Further, we derive a null model prediction that if a given geometry is an optimal solution for one natural objective function, then it is a priori more likely to be optimal or close to optimal for another objective function.

Keywords

Optimisation; simplicity; Kolmogorov complexity; physics

Subject

MATHEMATICS & COMPUTER SCIENCE, General & Theoretical Computer Science

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