Act 3Detonation

The Big Bang is not a mysterious "beginning of time." It is an explosion — a Chapman-Jouguet detonation. The Friedmann equation IS the CJ detonation equation, term by term.

The Firecracker

Detonation Wave

The whirlpool hits critical — and explodes outward. Not gently. Not uniformly. Like a firecracker with a dented casing, the energy sprays out unevenly. This asymmetry is not a nuisance — it is the origin of all cosmic structure.

This is a detonation in the precise, technical sense. A supersonic combustion wave tearing through the superfluid, converting fuel (radiation) into products (matter). Combustion physicists have understood detonation waves since 1899. The equations are the same.

The Friedmann equation that governs cosmic expansion IS the CJ detonation equation. This is the founding identification of UFC.

Friedmann = CJ: The Term-by-Term Mapping

A Chapman-Jouguet detonation is the minimum-velocity self-sustaining detonation in a reactive medium.

CJ Detonation Friedmann Cosmology
Unreacted fuelRadiation ($\rho_r$)
Reaction productsMatter ($\rho_m$)
Taylor rarefaction energyGeometric viscous pressure ($\rho_\Pi$)
Front radius $R \propto t^{1/2}$Scale factor $a \propto t^{1/2}$ (radiation era)
CJ point (reaction complete)Matter-radiation equality ($z_{\text{eq}} \approx 3400$)
Post-burnout coastingMatter-dominated era
Sound-wave limit ($D \to c_s$)Accelerating expansion

The Geometric Bulk Viscous Pressure

$$\Pi = -3\zeta H, \quad \zeta = \frac{\rho_m c^2}{\alpha_B H}, \quad \alpha_B = \frac{d^3}{d^2 - 2} = \frac{27}{7}$$

Crucial: $\zeta \propto \rho_m$, not $\rho_{\text{total}}$. Viscosity is automatically suppressed during the radiation era. BBN is safe by structure, not tuning.

Derivation: $\alpha_B = 27/7$ and $w = -7/9$

The Browy constant
$$\alpha_B = \frac{d^3}{d^2 - 2} \xrightarrow{d=3} \frac{27}{7} \approx 3.857$$
Three factors of $d$: expansion rate ($\nabla \cdot \mathbf{u} = dH$), pressure in Friedmann, density scaling. Denominator from gravitational binding.
Self-consistency: $p = d$
$$p = \frac{2\alpha_B}{d\alpha_B - d^2} = \frac{2d^3/(d^2-2)}{d^4/(d^2-2) - d^2} = \frac{2d^3}{2d^2} = d$$
Fixed point — not an independent assumption. DESI confirms: $p \approx 3.00$.
Equation of state
$$w = -\frac{d}{\alpha_B} = -\frac{d^2-2}{d^2} \xrightarrow{d=3} -\frac{7}{9} \approx -0.778$$
Coincidence identity
$$w \times \alpha_B = -d \quad \Rightarrow \quad \rho_\Pi = \rho_m \text{ at transition}$$
The cosmic coincidence is algebra, not fine-tuning.
Canon Results
$$\alpha_B = \frac{27}{7}, \quad w = -\frac{7}{9}, \quad w \times \alpha_B = -3$$

All from $d = 3$. DESI: $\chi^2 = 9.6$ vs $\Lambda$CDM's 25.6.

Expert Notes

Detonation velocity

$D_{\text{CJ}} = c\sqrt{7/6 + \Omega_m} \approx 0.854c$ for radiation products ($\gamma = 4/3$).

Non-uniformity

The detonation is non-uniform from angular momentum. This single geometric effect explains all 6 CMB anomalies.

Why linearization misses everything

Detonation is intrinsically nonlinear. Linearize Navier-Stokes → lose detonation → need inflation + dark matter + cosmological constant to patch the holes.

Interactive: CJ ↔ Friedmann Term Mapping

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What Comes Next

Behind the front, a reaction zone where fuel converts to product on a logistic sigmoid with rate constant $34/27$.