Primordial Born-Rule Relaxation and CMB Power Suppression under the ENSO Open-σ Stabiliser

This paper extends the ENSO open-sigma framework to cosmology and derives two results from first principles. First, for a Gaussian inflaton mode with a small variance non-equilibrium, the power-spectrum correction is δP/P = √2·c₂(0)·exp(−2λt), where c₂(0) is the H₂ Hermite coefficient of the initial capacity perturbation. This follows from the Hermite orthogonality identity and the near-equilibrium Lyapunov linearisation proved in the parent paper (DOI: 10.5281/zenodo.18967523), and is verified numerically to 0.7%. Second, under three explicitly stated assumptions (decoherence freeze at horizon crossing; near-equilibrium regime; dimensional extension), the suppression factor takes the power-law form S(k) = 1 − A₀(k/k_ref)^{−2λ/H_inf}, which suppresses large-scale power monotonically and approaches unity at small scales — consistent with the observed CMB low-ℓ deficit. A key structural result is that only the variance (H₂) Hermite component of the initial non-equilibrium affects the power spectrum at first order; mean-shift and higher-order modes are cosmologically invisible. An illustrative fit to Planck 2018 data gives λ/H_inf ≈ 0.46. The archive includes the full paper, LaTeX source, a 10-test Python validation suite (10/10 PASS, Windows/Linux/Mac compatible), and the validation figure. All assumptions are explicit; the paper does not claim that the ENSO mechanism is the physical origin of the CMB anomaly. For Further Informatiion about the ENSO Framework, please contact Eric Needham:ensotheory1@gmail.com