Theoretical analysis demonstrates structural equivalence between gravity and dielectrophoresis, indicating that inertial mass arises from topological excess polarizability.
We demonstrate that the aetheric buoyancy mechanism for gravity, derived from the Triadic Invariant R = P × I × Pr ≠ 0, is structurally identical to dielectrophoresis (DEP) — the well-characterized laboratory phenomenon in which neutral particles migrate through non-uniform field gradients via polarizability differentials. The mapping is exact: the ∇φ displacement gradient corresponds to ∇|E|²; the crystalline dimensional density d_P = 8 corresponds to particle permittivity ε_p; the aetheric density f₀ = 26/45 corresponds to medium permittivity ε_m; and the Clausius-Mossotti factor K determines the sign and magnitude of force in both systems. The inverse-square law is recovered from DEP in a monopole field by the same mechanism as the divergence theorem in the buoyancy derivation. The T(1,x) unknot (photon) has zero excess polarizability (K = 0), explaining massless weightlessness without a separate mechanism. The crossing number c = 2(q-1) of a T(2,q) torus knot is identified as the topological excess polarizability — the structural origin of inertial mass. The topological drag 1/45 governs both the binary quantization of S³ (particle physics) and the dielectric staircase of water (Δε_r = 80/45 = 1.78). Every DEP experiment in every laboratory is running the same physics that the Triadic architecture derives from first principles. One novel testable prediction: quantized dielectric permittivity steps in water at intervals of ε_r/45.
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Coty Austin Trout (2026) studied this question.
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