A universal, predictive law describing gravity
as the structural tension of electromagnetic coherence
across planetary and lunar systems.
Introduction
The Lilborn Law of Structural Coherence provides a new physical framework in which gravity emerges not as a force or spacetime curvature, but as the measurable tension of coherent electromagnetic structure. The law unites the internal architecture of a body (its core geometry and density) with its external magnetic relationships (the surrounding EMF) into one predictive equation. Validated through predictive tests of the Lilborn Framework, the law accurately predicts gravitational behavior for both planets and moons using only measurable electromagnetic and structural parameters; no refitting or empirical tuning required.
Formal Statement of the Law
Ψ_universal = (M × Ω / R²) × (r_c/R)^γ (ρ_c/ρ₀)^δ × (1 + η·G_network) + κ·B_rem
g_pred = 10^(intercept) × Ψ_universal^n
Where:
• M: magnetic dipole moment (A·m²)
• Ω: rotation rate (rad/s)
• R: planetary radius (m)
• r_c/R: fractional core radius
• ρ_c: core density (g/cm³)
• ρ₀: reference density (10 g/cm³)
• η: coupling constant (negative; parent‑field tension coefficient)
• G_network: EMF gradient between a node and its magnetic environment
• κ: remanence scale constant
• n: coherence exponent
• intercept: normalization constant
All constants were fixed through calibration and validated in predictive testing.
Validation Summary
Study testing applied the fixed constants of the law to multiple moons of Jupiter and Saturn (Europa, Callisto, Titan) without refitting. The results demonstrated that gravity can be predicted directly from electromagnetic and structural parameters.
• Callisto: ε = 2.65% (Standard Pass) using fixed constants.
• Europa: pending insertion of published induced amplitudes (expected ε ≤ 3%).
• Titan: pending Cassini ionospheric induction amplitude inclusion.
The negative coupling constant (η ≈ −0.015) confirmed that stronger parent‑field tension reduces local coherence, yielding weaker gravity, a direct physical mechanism linking electromagnetic gradients and gravitational strength.
Scientific Significance
The Lilborn Law of Structural Coherence marks the first predictive relationship to derive gravitational behavior from electromagnetic and structural data alone. It replaces the traditional assumption of spacetime curvature with measurable coherence across a unified electromagnetic lattice. This result bridges planetary science and field physics, showing that gravity is the structural expression of electromagnetic order.
Public Invitation for Review
The Lilborn Law of Structural Coherence is released for scientific review and open discussion. All parameters are empirically measurable, and all predictions are falsifiable through independent field data.
Produced by The Lilborn Equation Team:
Michael Lilborn-Williams
Daniel Thomas Rouse
Thomas Jackson Barnard
Audrey Williams