Triple parameter-free number-locks in Quantum Traction Theory: the neutrino ratio, the cosmic baryon invariant, and the Hubble branch ratio

Quantum Traction Theory (QTT) gives three parameter-free number-locks from one substrate ledger, with distinct epistemic statuses stated explicitly.

Lock 1 (neutrino, value-level derivation): R_ν = Δm²₃₁/Δm²₂₁ = 4π² cos²(π/8) = 33.69694..., derived from A1+A4+A7, matching NuFIT 6.0 at 0.16σ.

Lock 2 (baryon, parameter-free given the framework prior T₀ = 15.4 Gyr): 18·Ω_b·(H·T₀)² = 1; equivalently ω_b^QTT = [18·(100 km/s/Mpc · T₀)²]⁻¹ = 0.022397, matching Planck 2018+lensing ω_b = 0.02237 ± 0.00015 at 0.18σ.

Lock 3 (Hubble branch, parameter-free given the A3/A7 branch-saturation principle): H_late/H_early = sec(π/8) = 1.0824..., following from F_late·N_late = cos(π/8)·F_early·N_early.

Using H_early = 67.4 km/s/Mpc, QTT predicts H_late = 72.95 km/s/Mpc, matching SH0ES 73.04 ± 1.04 at 0.08σ.

No continuous coefficient is fitted in any of the three locks; they share substrate (A1, A6, A7), not numerical machinery. The bare time-tilt projection gives the homogeneous-branch lab cosmic age t₀^(bg) = cos(π/8)·T₀ = 14.23 Gyr; including A3 time drift, t₀^(lab) = cos(π/8 + δ_eff)·

T₀ recovers the observed ΛCDM-pipeline value 13.80 Gyr with δ_eff ≈ 3.87° matching the companion drift integral.

The same mechanism predicts q_lab(z) → 0 asymptotically rather than ΛCDM's q → -1 de Sitter limit. Falsifiers (dated): JUNO/DUNE departure of R_ν from 33.69694; pipeline-consistent (H₀, Ω_b) violating the branch-covariant invariant; or anchor pairs failing to approach sec(π/8) at Δχ² ≥ 9.