SG1

$$World's\,First$$

$$Non-Gauge\,Super\,GUT$$

$$Gravity\,Emergent$$

$$Quantum\,numbers\; n, m, l, \varphi^k$$ 

The proton model outlined here is a quantized circular superfluid equation model for the proton with m=m_p, v=c, and n=4 for the proton, and the quantum numbers are n, m, l and ø^k fractional phi ∆-summation quantum numbers constraint by $\phi^2=\phi+1$ as is used in the mainstream, resulting in a quantized n*938MeK/4 energy quantization which is further refined with the extra quantum numbers which may relate to mainstream or may actually correlation better with superfluid vortex quantum theories ways of modeling and stability.  This theory Resolves Vacuum Catastrophe by simply restoring the large vacuum energy back into the matrix without renormalization, thus resolving even more unsolved mysteries in science with a Superfluid Aether defined aslo by the holographic mass of Haramein as well as the Compton confinement of both the proton and electron since the proton radius r_p is found to be 4 times the reduced Compton wavelength of the proton and the Compton wavelength of the electron is found to be 4 times the reduced Compton wavelength of the electron, thus reinforcing the foreshadowing of the significance of 4 as a winding number and stability (L. Starwalker is refining multi-nucleon vortex stability with A, atomic number 4A = $\phi$  (~= Proton / Neutron ratio) being equal to phi for stability) for the Quantized superfluid proton and revealing Compton Confinement is equivalent to Haramein's holographic mass (proton).

Be sure to consider the harmonic mixing and modulation in the data since the collision is two resonating protons and standard harmonic mixing, beats, or delayed echoes can widen or broaden the bands The simple model shows widening that increases with quantum numbers matching nearly all spectra making it a first potential Super GUT (Super Grand Unified Theory incorporates gravity emergent from this model.

Easy correlation are n=4 proton, n=18, n=343, n=389, n=533, n=736  and many more combinations lower and higher quantum numbers from the proton to the CMB peaks are correlations.

Note that with the new proton radius the density of the proton is in the realm of neutron stars thus superfluid Cooper pair conditions exist and likewise in the 3K temps (2.7K) temps of the distant CMB or galactic distances beyond at 0K

Scans of n>736 shows correlations are predicted up to Oh-My-God particle.

The qunatum number n can range -∞ < n < ∞ to cover lower value masses and mass holographically.

Dynamics to be added by M. Rohrbaugh concerning phonon (sound speed limit for galaxy, aether formation , etc): $\left({v_s\over c}\right)^2={\pi\over 2}r_p R_∞$

Investigate extending the model to examining correlations to the CMB peaks.

Run simulations to verify potential non-gauge super gut status and do an exhaustive scan of the single simple quantum number n from 1 to 736 using the mixing concept to address the band broadening with higher quantum numbers.

Note: domain of all quantum numbers Q{n,m,l,k}:=. -∞ < Q < ∞ ; check this after checking positive correlations. Make sure impulse functions are integrated to avoid instabilities.

Do a detailed correlation analysis with report and tables.

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

$$x^2=x+1$$

$$\phi^2=\phi+1$$

$$\psi^2=\psi+1$$

$$\Psi^2=\Psi+1$$

$$\Phi^2=\Phi+1$$

$$\varphi^2=\varphi+1$$

$\left( \frac{1}{c^2} \frac{\partial^2}{\partial t^2} - \nabla^2 + \frac{m^2 c^2}{\hbar^2} \right) \phi = 0$

$i \hbar \frac{\partial \psi}{\partial t} = -\frac{\hbar^2}{2m} \nabla^2 \psi + V \psi$

$$\mu={\alpha^2\over{\pi r_p R_{\infty}}}$$

$\alpha^2=\pi \mu r_p R_{\infty}\leftarrow$ pµrR

$\left({v_s\over c}\right)^2={\pi\over 2}r_p R_∞$

$$m_pr_p={n \hbar\over c}=4\ell m_{\ell}=m_er_e$$

  *************************************************************************************

$\ell = Planck\; Length$

$$m_{\ell}=Planck\; Mass$$

$$c=speed\,of\,light$$

$$v_s = speed\, limit\, of\, phonons\, or\, sound$$

$$\hbar={h\over{2\pi}}\; \leftarrow\; modified\; Planck's\; constant\; and\; Planck's\; constant$$

$$m=mass$$

$$m_p=proton\; mass$$

$$r_p=proton\; radius$$

$$m_e=electron\; mass$$

$$r_e=Modified\;Compton\; radius\; for\; electron$$

$$\mu=Proton\;to\;Electron\;Mass\;Ratio$$

$$\alpha=Fine-structure\;Constant$$

$$R_{\infty}=Rydberg\;constant\;for\;infinite\;mass\;nucleus\;(reduced\;mass\;assumption\;related)$$

$$\pi=3.141592653\cdots$$

$$i=\sqrt{-1}$$

4

Claude Galaxy Sim

https://youtu.be/17hlxURcXNk?si=OLABPg9UEzm6E2gO

The Surfer, OM-IV

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