Propulsion Force Calculator — Chameleon Asymmetric Gradient

Governing Equation

F_prop = x_m·c²·∇C·m·A·e^(kC) where: x_m = 0.026 (Horndeski running-sector coupling, DEFINITIVE · Paper LXXIII · Jul 1 2026), c = 2.998×10⁸ m/s, ∇C = 2.4×10³ m¹ (critical coherence gradient), m is test mass (kg), A is asymmetry factor, k = 1.92.

At the Law of Inverted Kinetics recognition ratio R = (x_m·c²·∇C)/a > 1: F_inv = mc²·x_m·∇C·e^(kC) − ma·e^(−kC) — field force exceeds reaction mass force and gravity is "forgotten" (Paper XXVII).

Reference Predictions (Paper VII)

• Definitive July 1 2026 (x_m = 0.026): F_prop = 0.74–0.95 N (1 kg, A = 3, L = 1 m)
• Torsion balance detectable: δF/F ~ 10⁵ at 10⁸ Torr vacuum
• Pressure threshold: atmospheric screening quenches signal below 10⁴ Torr
• A = 3 asymmetry geometry — two facing plates, asymmetric mass distribution

Physical Basis

The chameleon field couples more strongly in low-density regions (voids) and decouples in dense matter. An asymmetric mass geometry (A = 3) creates a net coherence gradient ∇C across the test mass. The scalar fifth force acts along this gradient, producing a net force even in the absence of reaction mass or propellant. Craft IS the propulsion system — the asymmetric hull geometry is both structure and engine (Paper IX).