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## Sunday, February 7, 2016

### PDF: Proton to Electron Mass Ratio Paper Points to New Physics

I like looking deeply into Nature.

**The present is an event horizon, a very interesting thing. It is the only place that life exists.**

## Saturday, February 6, 2016

### One Pager: Proton to Electron Mass Ratio and Conclusion of Proton Radius Puzzle

Equation for the proton to electron mass ratio:

$$\mu={m_p\over m_e} = {\alpha^2\over\pi r_pR_H}=1836.15267$$

$m_p=$ mass of proton

$m_e=$ mass of electron

$\alpha=$ fine-structure constant

$r_p=$ radius of proton

$R_H=$ Rydberg constant

comes from combining the Rydberg equation for electron mass:

$$m_e={2R_Hh\over c\alpha^2}$$

$c=$ speed of light

$h=$ Planck's constant

with Nassim Haramein's equation for the proton mass-radius relationship:

$$m_pr_p=4\ell m_{\ell}$$

$\ell=\sqrt{\hbar G\over c^3}=$ Planck length

$m_{\ell}=\sqrt{\hbar c\over G}=$ Planck mass

$\hbar={h\over 2\pi}$ = Reduced Planck's constant

$G=$ Universal Gravitational constant

CODATA value for ${m_p\over m_e}=1836.15267389(17)$

calculated mass ratio using my derived equation:

1836.15267(421379) <- only good to 9 digits due to limited resolution of CODATA for fundamental constants.

(By the way, this is confirmation to the resolution of the proton radius puzzle:

$$r_p=0.841235640294664 fm$$ )

Mark Rohrbaugh - February 6, 2016

**The Surfer, OM-IV**

**The present is an event horizon, a very interesting thing. It is the only place that life exists.**

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