Bozon #2

Quantized Superfluid Vortex Proton Model

The proton is modeled as a quantized superfluid vortex with mass \( m = m_p \), velocity \( v = c \), and stable state at quantum number \( n=4 \). Energy levels are defined as \( E_n = 234.568 \cdot n \, \text{MeV} \), derived from \( E_4 = m_p c^2 = 938.272 \, \text{MeV} \).

Energy Levels and Correlations

n	E_n (MeV)	Notes
1	234.568	Possible vacuum state
2	469.136
3	703.704
4	938.272	Proton (\( m_p c^2 \))
5	1172.84	~\( \Delta(1232) \), 1232 MeV
6	1407.408	~\( N(1440) \), 1440 MeV
7	1641.976	~\( \Delta(1600) \), 1600 MeV
8	1876.544
9	2111.112
10	2345.68
533	124999.784	Higgs Boson (~125 GeV)

Quantum Transitions

Transitions occur with jumps \( \Delta n = 1, 2, 3, \ldots \), and energy differences \( \Delta E = 234.568 \cdot |\Delta n| \, \text{MeV} \):

• \( \Delta n = 1 \): \( \Delta E = 234.568 \, \text{MeV} \) (~294 MeV for \( \Delta(1232) \to p \))
• \( \Delta n = 2 \): \( \Delta E = 469.136 \, \text{MeV} \) (~494 MeV, kaon)
• \( \Delta n = 3 \): \( \Delta E = 703.704 \, \text{MeV} \)

Total Number of Quantum States

From \( n=1 \) to \( n=533 \), there are 533 possible states, enabling probability calculations if transition rates are defined.

Proton Radius Correlation

The proton radius at \( n=4 \) (\( r_p \approx 0.84 \, \text{fm} \)) may scale as \( r_n = r_p \cdot (n/4) \), increasing for higher \( n \) (resonances).

Integration with Superfluid Vacuum Theory (SVT)

In SVT, the vacuum is a superfluid, and particles are vortex excitations. Here, \( n=4 \) represents the proton, \( n=5,6,7 \) the resonances, and \( n=533 \) the Higgs boson, with energies \( E_n = k \cdot n \). Transitions model decays, aligning with SVT’s unified framework.

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