🌌Proton and Galaxy Sims🌌

https://claude.ai/chat/ba189c57-45b6-4d26-8dab-ff2e44367291

Circular Quantized Superfluid Model

From Proton Structure to Galactic Architecture

ψ(r,θ) = A·J_n(k_rr)·e^inθ | m_p=4, v=c, n=4

Time Evolution:

Scale Factor: 1x

Quantum Number n: n=1 n=2 n=3 n=4 n=5

Proton Model (10⁻¹⁵ m)

Circular quantized superfluid vortices
representing quark confinement

Atomic Scale (10⁻¹⁰ m)

Extended superfluid model
showing electron orbital analogs

Galactic Scale (10²¹ m)

Multi-proton superfluid galaxy
with spiral arms and dark matter halo

Proton Parameters
Mass: m_p = 4 (normalized)
Velocity: v = c
Quantum number: n = 4
Radius: r_p ≈ 0.88 fm

Quantization Condition
L = nℏ = mvr
k_r = n/r_max
E_n = ℏωn
ω = v/r

Galactic Scaling
Scale factor: λ ≈ 10³⁶
Halo radius: ~100 kpc
Spiral pitch angle: ~12°
Dark matter fraction: ~85%

Superfluid Properties
Zero viscosity
Macroscopic coherence
Quantized vortices
Collective excitations