Vortex-quantization in a superfluid, circulation is quantized:
\oint_C\mathbf{v}\cdot d\mathbf{l}={2\pi\hbar\over m}n
\mathbf{v}= velocity
\mathbf{l}= path length, d\mathbf{l}=rd\theta, for dot product
\hbar={h\over{2\pi}} = Reduced Planck's constant, and h, Planck's constant
m= mass
n= integer, quantized
for uniform circular motion, constant velocity:
\oint_Cd\mathbf{l}={\int_0}^{2\pi}rd\theta=2\pi r, circumference of circle
\oint_C\mathbf{v}\cdot d\mathbf{l}={\mathbf{v}2\pi r}
{\mathbf{v}2\pi r}={2\pi\hbar\over m}n
{m r}={2\pi\hbar\over {\mathbf{v}2\pi}}n
{m r}={\hbar\over {\mathbf{v}}}n
{m r}={nh\over {2\pi\mathbf{v}}}
For a proton that is a vibration in the superfluid vacuum aether, the phase velocity of circulation is the speed of light, c:
\therefore{m r}={nh\over {2\pi c}}
the proton being the n=4 case:
\therefore{m r}={2h\over {\pi c}}
which is the same equation derived for the proton using the quantized angular momentum approach and Haramein's team's geometrical information theory holofractographic approach.
This is implying that the vacuum is a superfluid.
Still need to derive why the proton mass is what it is... and why the proton is the n=4 case.
