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 ≠ μ = 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)