General Mathematics

    

Similarity of a Ramanujan Formula for $pi$ with Plouffe's Formulae, and Use of This for Searching of Physical Background for Some Guessed Formula for the Elementary Physical Constants

Authors: Janko Kokosar

The paper is comprised of two parts. In the first part, it discusses the similarity between one of Ramanujan's formulae for $pi$ and Plouffe's formulae where he uses the Bernoulli numbers. This similarity is help for further determination either that the similarity is only accidental, or that we can derive the Ramanujan formula in this way. This is also help for setting up a calculation system where we would estimate the probabilities with which we can obtain guessed formulae for $pi$ that are very accurate and very simple. (We only consider formulae that are not the approximations of the exact formulae for $pi$.) In the second part, it discusses various guessed formulae for the fine structure constant and for the other physical constants, and how the above probability calculation would help estimate whether these formulae have a physical basis or are only accidental.

Comments: 12 Pages.

Download: PDF

Submission history

[v1] 2022-06-27 07:02:40
[v2] 2022-07-10 10:04:28

Unique-IP document downloads: 525 times

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