Derivation chain

One order. Condensation geometry first. Particle quantities next. Substrate density after that. Gravity and DME last. Nothing later in the chain is used to set anything earlier. CD21 runs this same order as code. DOI 10.5281/zenodo.22864191. Working density ρs = 7.3 × 10−27 kg m−3.

E(R) well

E(R) = A/R² + B·R² + C·R + D/R with A = 1/2, B = 0.56308, C = −1/3, D = 1. The marker is the derived minimum R₀ = 1.27348221.

Density fork

Input path

Condensation → R₀ → ħ_vss → m_e → α_vss → u_g → ρs = u_g / c².

Publication value ρs = 7.3 × 10−27 kg m−3.

as = c √(G ρs / 3) follows. No galaxy number enters as.

Check, not input

The cosmological-constant energy density is a later consistency check on the same ρs.

It is not the source of ρs. SPARC and KiDS test as after it is fixed.

Electroweak block

m_W
(256/3) m_p = 80.066 GeV
m_Z
π⁴ m_p = 91.396 GeV
sin²θ_W
1 − 256²/(9π⁸) = 0.23257
m_H
v √(2 λ_H) = 124.75 GeV

λ_H = 2 A R₀ / π². Same A and R₀ as the well above. P19.

CD21 executes this chain

Test the BFUT framework · Download the code · Formula list · A, B, C, D derivation

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