concrete_levitation
plain-language theorem explainer
The theorem shows that negating the potential of any differentiable gravitational field produces an external phase field with zero modified coherence defect at zero acceleration. Researchers deriving phase levitation from Recognition Science first principles would cite this as the explicit construction realizing the general acoustic levitation result. The proof is a direct term application of the acoustic levitation theorem together with the built-in cancellation property of the negated field.
Claim. For a gravitational potential that is differentiable at the center of mass of an extended object, the external phase field obtained by negating that potential yields zero modified coherence defect at zero acceleration.
background
In the AcousticPhaseLevitation module a ProcessingField supplies a gravitational potential phi while an ExtendedObject carries a center-of-mass height and finite extent. The modified coherence defect is defined as the absolute difference between the modified total potentials evaluated at the head and feet of the object under an external phase field. The anti-gravitational phase field is the concrete construction whose psi equals the negation of phi. Upstream the acoustic levitation theorem states that exact gradient cancellation implies the defect vanishes at zero acceleration, and the antiGravField_cancels lemma confirms that negation achieves this cancellation precisely when differentiability holds at the center of mass.
proof idea
The proof is a one-line term wrapper that applies the acoustic levitation theorem to the anti-gravitational field and the given object, supplying the antiGravField_cancels result as the required cancellation hypothesis.
why it matters
This supplies the explicit field required by the downstream existence theorem levitation_field_exists. It realizes the acoustic levitation statement derived from Recognition Science axioms, linking directly to the eight-tick phase structure and coherence-restoring mechanisms in the gravity sector.
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