Talk:Proton-to-electron mass ratio

Introduction
I created this page, 21 July 2008. Will do a bit more work on it in the near future. Velocidex (talk) 07:11, 21 July 2008 (UTC)

Proton-to-electron mass ratio and extra dimensions
If there are 10 dimensions in our space (3 observable and 7 small extra dimensions) the proton-to-electron mass ratio can be expressed as follows:
 * $$\mu = {\frac{6 \cdot \pi ^ 5}{cos(tanh({\frac{2\pi}{2^{10}}}))}} = 1836.15267290...$$

The above expression is derived as a ratio of surface area of 10-dimensional ball projected to 7 dimensions to the volume of 7-dimensional hypercube
 * $$ \mu = {\frac{(V_{10}(R))^{'''}}{R^7}} \cdot k$$

where
 * $$ V_{10}(R) = {\frac{\pi ^ 5}{5!}} \cdot R^{10} $$ is a volume of 10-dimensional ball of radius R;
 * a third derivative of this volume is taken to obtain ball's surface area in 7 dimensions;
 * $$ k = {\frac{1}{cos(tanh({\frac{2\pi}{2^{10}}}))}} $$ is correctional coefficient equal $$ {\frac{1}{0.999981175}}$$. The parameter $$ {\frac{2\pi}{2^{10}}} $$ comes from phase distribution over $$2^{10} = 1024$$ vertices of 10-dimensional hypercube.

Mikhail Vlasov Korablino (talk) 01:35, 4 May 2012 (UTC)
 * Your value is interestingly close, but a little off.

69.112.209.47 (talk) 00:44, 2 May 2018 (UTC)

wrong numbers?

 * mp / me = 1.672621777E-27 / 9.10938215E-31 = 1836.15282514 ≠ &mu; = 1836.15267245(75)
 * 46.115.99.154 (talk) 18:10, 18 August 2013 (UTC)

new number
The new number is: mp/me = 1836.15267377(17) see: S. Sturm et al.: High-precision measurement of the atomic mass of the electron, Nature, online 19. Februar 2014; DOI: 10.1038/nature13026 — Preceding unsigned comment added by 77.8.162.183 (talk) 15:53, 25 March 2014 (UTC)

Numerology
User Phxmarker has been repeatedly reinserting a supposed formula for mp/me. This appears to be total crackpottery. I'm deleting it. Here is the web page where this equation is advocated: http://phxmarker.blogspot.cz/2015/08/the-razors-edge-muonic-proton-radius-in.html. --76.169.116.244 (talk) 01:56, 22 January 2016 (UTC)

Numerology 2.0
This time it's $$6 \pi^5.$$ I'll leave it for now, but Headbomb removed this as a fringe source and numerology. Pianostar9 (talk) 17:08, 23 February 2021 (UTC)