Matter Density from DE Closure ω_m

τ-Formula

ω_m = DE closure = 0.1429

Derivation

with $Ω_Λ = κ_D(1 + ι_τ^3) = 0.6849$. Deviation: $-675$ ppm—a $41×$ improvement over the holonomy path. The two paths are complementary: M3h determines the ratio $ω_m/ω_b$; DE-closure determines the absolute value. (Registry: V.T199, Wave 14D.)

Using the DE-closure path with $h = 2/3 + ι_τ^2/17 = 0.67352$, the full Friedmann pipeline gives $_1 = 221.5$ at $+0.69%$. Higher peaks: $_2 = 529.8$ (observed: $537.5$), $_3 = 796.7$ (observed: $810.0$). Peak ratios $_2/_1 = 2.401$, $_3/_1 = 3.611$ are universal (set by phase shifts, independent of cosmological parameters). (Registry: V.T197.)

Source

This prediction is derived in the Physics Ledger (Chapter 62 — inflation-cmb-bbn), Books IV–V of Panta Rhei.