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Primordial helium fraction from compact/free–electron freeze-out

Real Cosmology, §6: the He mass fraction Y predicted from a single scale — the compactification energy gap E* (= the model's T*).
E* (compactification gap, MeV): 1.293
Tf (freeze-out temp, MeV): 0.80
neutron-decay factor d=e−Δt/τ: 0.74

equilibrium (n/p)f = e−E*/kTf =
after decay (n/p)nuc =
He-4 mass fraction
observed: Y ≈ 0.245–0.25
Model. In Real Cosmology a neutron is a proton with a compact electron, so the cosmic neutron/proton ratio is the compact/free electron ratio at freeze-out: (n/p)f = exp(−E*/kTf), with E* the compactification energy gap (the model's T*) playing the role of the n–p mass difference (1.293 MeV in standard physics). Free neutrons (compact electrons) then partly expand back (β-decay) before nucleosynthesis, factor d, and essentially all surviving neutrons end in He-4: Y = 2(n/p)nuc / (1 + (n/p)nuc). Result: the defaults (E*≈1.3 MeV, Tf≈0.8 MeV ⇒ T*∼1010 K) give Y≈0.245 — the observed primordial helium — from the model's single MeV-scale handle. Honest note: Tf is, in standard BBN, derived from weak-rate vs. expansion (~0.8 MeV); here it is a second input, so the genuine prediction is the inequality E*/kTf ≈ 1.6 with E*∼1.3 MeV.