Volume 11 Number 3 (Jul. 2021)
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IJAPM 2021 Vol.11(3): 50-60 ISSN: 2010-362X
DOI: 10.17706/ijapm.2021.11.3.50-60

A Numerical Approach to Discovering Relationships between Science Constants

Tamara Azzam
Abstract— A numerical approach is proposed to explore relationships between constants. A subset of constants is assembled and a simple method is used to probe how each constant in the set might be related to a combination of the rest. The goal is to check if any of the constants can be expressed as a combination of two, three, or four constants using simple arithmetic operations (addition, subtraction, multiplication, division and power of positive and negative numbers). A software program, implemented in Python, was employed to search for such simple relationships. Some of the values found were within 10-11 accuracy. Others were simply esthetically pleasing like π≈7^7/8^6 and e≈π^7/1111. Last but not least, albeit long, we were able to find an expression for π with 1000 decimal places.

Index Terms—Numerical approximation, math constants, physics constants.

Tamara Azzam is with North Hills Preparatory, 7116 Sugar Maple Drive, Irving, Tx, 75063, USA.

Cite:Tamara Azzam, "A Numerical Approach to Discovering Relationships between Science Constants," International Journal of Applied Physics and Mathematics vol. 11, no. 3, pp. 50-60, 2021.

Copyright © 2021 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

General Information

ISSN: 2010-362X (Online)
Abbreviated Title: Int. J. Appl. Phys. Math.
Frequency: Quarterly
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca 
Abstracting/ Indexing:  Index Copernicus, IET INSPEC, Chemical Abstracts Services (CAS), Nanowerk Database, Google Scholar, EBSCO, etc.
E-mail: ijapm@iap.org
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