The Relationship between Entropy and Complexity Quantitatively: The Case of Throwing a Fair Dice in the Very Long Run.
| Title: | The Relationship between Entropy and Complexity Quantitatively: The Case of Throwing a Fair Dice in the Very Long Run. |
|---|---|
| Authors: | MODIS, THEODORE |
| Publisher Information: | Center for Open Science |
| Publication Year: | 2025 |
| Description: | A dice thrown very many times will undergo deformations with its apexes becoming progressively more rounded. Calculating the entropy for such a system as a function of time reveals an S shaped trajectory. Doing so for complexity reveals that it first increases, goes over a maximum, and finally decreases toward zero as the shape of the dice approaches a perfect sphere due to excessive wear and tear. The relationship of entropy to complexity in this system is similar to that of a mathematical function to its time derivative. The idea that complexity first increases and then decreases as entropy increases in a closed system applied to our solar system suggests that we may be traversing the highest complexity and most interesting period of our world. |
| Document Type: | other/unknown material |
| Language: | unknown |
| DOI: | 10.31219/osf.io/bxr3h_v2 |
| Availability: | https://doi.org/10.31219/osf.io/bxr3h_v2 |
| Rights: | https://creativecommons.org/publicdomain/zero/1.0/legalcode |
| Accession Number: | edsbas.F2926D27 |
| Database: | BASE |