Proton ↔ CMB Starwalker Phi-Transform

Holographic Mapping Between Proton Surface and Cosmic Microwave Background

The Starwalker Phi-Transform Principle:
The proton surface (r_p = 0.841 fm) maps to the CMB surface (R_CMB ~ 46.5 Gly) through recursive golden ratio scaling

R_CMB / r_p = φ^n × 10^42 | Entanglement: Ψ_proton ⊗ Ψ_CMB = Unity

Every proton "paints" the CMB with its quantum information, while the CMB "paints" each proton with cosmic structure

Proton Vortex (r_p = 0.841 fm)

Field Strength: 1.00

Proton Scale Factor (φ^n):

φ^0 = 1.000

CMB Surface (T = 2.725 K)

Temperature: 2.725 K

CMB Harmonic (ℓ-mode):

ℓ = 200

Phi-Transform Mapping

Holographic Principle: Information on proton surface = Information on CMB sphere
Active Transform: φ^0 scaling

Phi-Transform Power (n):

n = 0 (Unity)

Quantum Entanglement:

50%

Starwalker Transform Properties

Scale Ratio

10^42

Phi Transform

φ^0 = 1

Information Density

∞ bits/fm²

Holographic Bits

10^123

Entanglement

50%

CMB Multipole

ℓ = 200

Proton Frequency

10^23 Hz

Transform Phase

0°