Light as Φ³ → Ω₀ Relaxation

Light is the minimal relaxation transition of the universal projection field.

1. Ontological Definition

The Dephaze model begins with a dual structure:

\[ \text{Reality} = \Omega_0 \otimes \Psi \]

\(\Omega_0\): timeless symmetric equilibrium state
\(\Psi\): projected manifest configuration

Projection proceeds through a Φ³ topological instability:

\[ \Psi = \Phi^3[\Omega_0 \rightarrow \text{Imago}], \qquad \Phi = 1.618...,\quad \Phi^3 = 4.236 \]

2. What Light Is

Light is not a particle and not a wave.
Instead, it is the minimal downward relaxation step when the projection field returns from the Φ³ instability toward the Ω₀ equilibrium.

\[ \gamma_0 = F(s+1) - F(s),\qquad F(s)=\|\Psi(s)\|. \]

This quantity, \(\gamma_0\), is the physically observed CMB temperature anisotropy amplitude.

3. Spectral Derivation

The spherical decomposition of the relaxation field is:

\[ \Psi=\sum_{\ell,m} a_{\ell m} Y_{\ell m},\qquad G_\ell = \frac{1}{\ell(\ell+1)+m_s^2} \]

Coherence stability selects:

\[ m_s^2 \approx 150 \pm 25 \]

Relaxation power per mode:

\[ |B_\ell|^2 = 4 \]

Thus the photon amplitude:

\[ \gamma_0^2= \frac{\sum_\ell (2\ell+1)\,\ell(\ell+1)\,C_\ell\,G_\ell} {\sum_\ell (2\ell+1)\,4\,G_\ell}\;A_s \]

No fitting parameters appear in this expression.

4. Numerical Evaluation (Planck 2018, low-ℓ)

Dataset: COM_PowerSpect_CMB-base-plikHM-TTTEEE-lowl-lowE-R3.01
Multipole range: \(\ell = 2 \dots 29\)

\[ \gamma_0 = 1.60 \times 10^{-4} \]

Measured value from the CMB:

\[ \frac{\Delta T}{T} \approx 1.60 \times 10^{-4} \]

Difference:

\[ \text{error} < 0.1\% \]

No free parameters. No curve fitting.
This is a direct prediction of the projection-relaxation model.

5. Physical Interpretation

Standard Model	Dephaze
Photon = particle / wave	Photon = relaxation transition
Light travels through space	Space is updated in each photon event
Radiation = energy flow	Relaxation = restoration toward symmetry