(this defines a new experiment / series of experiements to determine the proton radius)
Google Calc link with Phi equation for mass ratio
One more for the road:
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| https://advances.sciencemag.org/content/6/41/eabc8662* |
$$v_u=\alpha({m_e\over{2m_p}})^{1\over2}c$$
using for the proton to electron mass ratio:
$${m_p\over m_e}={\alpha^2\over\pi r_pR_H}$$
$$v_u=c\sqrt{{\pi\over2}r_pR_H}$$
$$r_p={2\over{\pi R_H}}{({v_u\over c})}^2$$
And there you have it, another simple result from good old fashioned work!
It looks like you have a sort of Rydberg Molasses™ that slows the speed of light down as it traverses the proton radius a quarter wave at a time, thus the ${\pi\over2}$ quarter wave phase-factor, or some rms $\sqrt2\over2$ crystal lattice averaging factor.
* "Our result expands the current understanding of how fundamental constants can impose new bounds on important physical properties."
Other notes:
$$({v_u\over c})^2={\pi\over2}r_pR_H$$
This clearly sheds Light on the geometric reality of the Universe.
™=That's Mine
Addendum:
Assuming the photon and phonon are the same frequency:
$$f_{phonon}=f_u$$
$$f_{photon}={c\over\lambda}$$
$$f_u={v_u\over\lambda_u}$$
$${c\over\lambda}={v_u\over\lambda_u}$$
$${v_u\over c}={\lambda_u\over\lambda}$$
$$({v_u\over c})^2=({\lambda_u\over\lambda})^2$$
$$({\lambda_u\over\lambda})^2={\pi\over2}r_pR_H$$
Moar later to check correlation in k-space/momentum space.
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| https://en.wikipedia.org/wiki/Metallic_hydrogen#Claimed_observation_of_solid_metallic_hydrogen,_2016 |
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| https://en.wikipedia.org/wiki/Delocalized_electron |
Thinking about how to derive the speed of sound limit from the wave equation...
ReplyDelete(so, addendum doesn't add much, yet)
ReplyDeletePeak to trough is 1/4 wave
ReplyDeleteCorrection: Peak to zero is 1/4 wave, peak to trough is half wave
Delete