Perturbations as CP Variance: Anchor Note

JCE Architecture Series Note 9: Perturbations as CP Variance Planetary perturbations — the deviations of observed planetary positions from two-body Keplerian orbits — are conventionally treated as corrections to an incomplete model. This note proposes a structural reframing: perturbations are the signature of what Newtonian integration constitutionally discards, namely the cross-period phase coherence between coupled helical trajectories. Under the Constitutional Parity (CP) framework established in prior work, integration trades phase coherence for amplitude precision; the discarded phase coherence re-emerges as observable position errors at the scale of the CP variance floor σ = 0.6475°. The σ floor is derived independently from the three-helix framework (Notes 2–4): σ² = sin²(obliquity) / (α−1)², where α = T₃/T₂ = 15.4002 is the structural pitch ratio and sin²(obliquity) = 0.1582 is the master coupling constant. This note tests whether the σ floor acts as a natural separator in the planetary perturbation dataset. Of eleven planet pairs examined, ten have perturbation amplitudes below the σ floor — absorbed into the irreducible measurement noise of the ecliptic-equatorial frame bridge. Only Saturn←Jupiter (the Great Inequality, 0.812° = 1.25×σ) exceeds the floor, consistent with resonance-amplified CP near-divergence at the 5:2 commensurability. The Great Inequality amplitude is derived from first principles: GI = δ_J × δ_S × (M_J/M_S) × (T_zodiac/α) × (180/π) = 0.81151°, against 0.812° actual (0.06% residual). Every factor is independently sourced — δ terms from Note 8 orbital inclinations, T_zodiac = 2,647 years from the Jupiter-Saturn conjunction triangle rotation period derived from orbital geometry, α from Note 2, mass ratio from known values. No fitting is performed. The Great Inequality period is identified as T₃/28 = 925.71 years, where T₃ = 25,920 years is the precession period and 28 = 27 spatial nakshatras + 1 Abhijit (the topological attractor of Note 1). T₃/28 falls within the secular variation band of classical GI period estimates (883–929 yr); using the modern precession period (25,772 yr), T₃/28 = 920.43 yr, within 0.26% of Laplace's classical estimate of 918 yr. The 28th unit (Abhijit/Vega) thus operates as a temporal correction in the same role it plays as a spatial correction in Note 1 — absorbing the residual that the 27-nakshatra grid cannot accommodate. The note is deposited as a working anchor. The GI amplitude formula and the T₃/28 period identification are verified findings. The derivation of mass from helical curvature — the mechanism by which a body's inertial mass emerges from the centripetal field of its helical trajectory — remains an open derivation and is documented as such.