Rewritten: $$\mu m_e={2\eta\over R}m_{\ell}$$

The proton to electron mass ratio: $$\mu={2\eta\over R}{m_{\ell}\over m_e}$$

What is the mass of the electron, the first generation lepton? $$m_e={2R_{\infty}h\over c\alpha^2}[1]$$

[1]https://en.wikipedia.org/wiki/Electron_rest_mass The Rydberg constant is empirical, thus this equation is not analytical, however, we shall proceed:

∴, $$\mu={m_p\over m_e}= {\alpha^2\over \pi r_pR_{\infty}}=1836.15267\;\;\leftarrow\;significant!!!$$

$\alpha$ is the fine-structure constant

$r_p$ is the proton radius (use 2010 & 2013 muonic hydrogen radius and Haramein's equation)

$R_{\infty}$ is the Rydberg Constant.

Google Calculator link for $\mu$:

CALC LINK

Alternate form (definition, trivial): $$\mu={m_p\over m_e}= {m_pc\alpha^2\over{2R_{\infty}h}}=1836.15267$$

Google Calculator Link Alternate Form

Compare to ฮผ = mp/me = 1836.15267245(75).[1]

What is the Planck mass to electron mass ratio? $$\Phi={m_{\ell}\over m_e}$$

Using Haramein's proton solution, and equating it to $r_em_e$:

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

This is the torque-spin balance proposal of Lyz Starwalker.

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

$${m_{\ell}\over m_e}={r_e\over 4\ell}$$

$${m_{\ell}\over m_e}={{\alpha^2\over 4\pi\ell R_{\infty}}}=2.3893048e+22$$

Google Calculator Link for Planck Mass divided by Electron Mass

PlanckMass/ElectronMass <~~~ Google Calculator

http://m.primber.com/23893048.html

I think Sadhguru can tell us what level this is away from our senses... ...the lepton???

Using Haramein's equation for the proton radius and the 2010 & 2013 muonic hydrogen measurement of the proton radius, we have a simple equation that shows the correct ratio of the proton to electron mass ratio. The only issue is that still the electron has no analytical solution to its mass. Since the electron is not an actual particle, it is possible that it does not have a solution like the proton does, however, we'll keep looking. However, this equation for $\mu$, the proton-electron mass ratio is very good for now!

Some Links to proton/electron mass ratio:

Compare to http://www.ptep-online.com/index_files/2015/PP-40-04.PDF <--- $\mu$ equations 2015

Addendum for future investigation (torque balance): $$m_pr_p=r_em_e\;where\;r_e={\alpha^2\over\pi R_{\infty}}$$

More Later,

The proton to electron mass ratio: $$\mu={2\eta\over R}{m_{\ell}\over m_e}$$

What is the mass of the electron, the first generation lepton? $$m_e={2R_{\infty}h\over c\alpha^2}[1]$$

[1]https://en.wikipedia.org/wiki/Electron_rest_mass The Rydberg constant is empirical, thus this equation is not analytical, however, we shall proceed:

∴, $$\mu={m_p\over m_e}= {\alpha^2\over \pi r_pR_{\infty}}=1836.15267\;\;\leftarrow\;significant!!!$$

$\alpha$ is the fine-structure constant

$r_p$ is the proton radius (use 2010 & 2013 muonic hydrogen radius and Haramein's equation)

$R_{\infty}$ is the Rydberg Constant.

Google Calculator link for $\mu$:

CALC LINK

Alternate form (definition, trivial): $$\mu={m_p\over m_e}= {m_pc\alpha^2\over{2R_{\infty}h}}=1836.15267$$

Google Calculator Link Alternate Form

Compare to ฮผ = mp/me = 1836.15267245(75).[1]

What is the Planck mass to electron mass ratio? $$\Phi={m_{\ell}\over m_e}$$

Using Haramein's proton solution, and equating it to $r_em_e$:

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

This is the torque-spin balance proposal of Lyz Starwalker.

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

$${m_{\ell}\over m_e}={r_e\over 4\ell}$$

$${m_{\ell}\over m_e}={{\alpha^2\over 4\pi\ell R_{\infty}}}=2.3893048e+22$$

Google Calculator Link for Planck Mass divided by Electron Mass

PlanckMass/ElectronMass <~~~ Google Calculator

http://m.primber.com/23893048.html

I think Sadhguru can tell us what level this is away from our senses... ...the lepton???

Using Haramein's equation for the proton radius and the 2010 & 2013 muonic hydrogen measurement of the proton radius, we have a simple equation that shows the correct ratio of the proton to electron mass ratio. The only issue is that still the electron has no analytical solution to its mass. Since the electron is not an actual particle, it is possible that it does not have a solution like the proton does, however, we'll keep looking. However, this equation for $\mu$, the proton-electron mass ratio is very good for now!

Some Links to proton/electron mass ratio:

Compare to http://www.ptep-online.com/index_files/2015/PP-40-04.PDF <--- $\mu$ equations 2015

Addendum for future investigation (torque balance): $$m_pr_p=r_em_e\;where\;r_e={\alpha^2\over\pi R_{\infty}}$$

More Later,

**The Surfer, OM-IV**