III · ω(k) — True vs Out-group's Inferred Dispersionweaponized underdetermination
wavenumber k →
● true ω(k) ● out-group's fit residual shown below
gap = ‖ω_true − ω_inferred‖
The inference shown is a simple quadratic-plus-cubic least-squares fit to the out-group's observed |ψ|²(x, t) history. It is a stylized stand-in for "whatever inference procedure an out-group might use" — not a faithful cognitive model. What's real and visible is the structural mismatch: when β is high and changing, no fixed ω(k) fits the observations, and the out-group's best attempt systematically underestimates the asymmetric suppression of high-k modes.