LevitationInevitability
plain-language theorem explainer
LevitationInevitability packages four conditional statements showing gravitational fields restore coherence at a unique acceleration, external phase fields shift that equilibrium, opposing gradients nullify effective coupling, and exact cancellation yields zero modified defect at rest. Researchers modeling acoustic levitation or coherence-based gravity would cite it as the master certificate assembling the inevitability argument. The structure is defined by direct reference to four prior lemmas with no additional derivation.
Claim. A structure asserting: for every processing field and extended object there exists a unique acceleration $a$ such that the coherence defect vanishes; external phase fields modify the coherence landscape to a new unique equilibrium; when the external gradient exactly opposes the gravitational gradient the effective gravitational coupling is zero; and under the same opposition the modified coherence defect at zero acceleration vanishes.
background
ProcessingField carries the gravitational coherence potential phi while ExtendedObject tracks center-of-mass height. Coherence defect is the J-cost functional (defect x = J x) measuring deviation from unity. ExternalPhaseField supplies an additional phase potential psi whose gradient can oppose the gravitational one. Modified coherence defect combines both contributions into a single landscape whose zero defines the new equilibrium acceleration.
proof idea
This is a structure definition that packages four fields. Each field is instantiated by a prior result: gravity_is_coherence by falling_restores_coherence, external_modifies_landscape by modified_falling_condition, anti_coherence_effect by complete_cancellation_is_levitation, and levitation_achievable by acoustic_levitation. No tactics or reductions occur inside the structure itself.
why it matters
The structure serves as the master certificate for the conditional levitation mechanism and is instantiated directly by the theorem levitation_is_inevitable. It links gravity to coherence-seeking behavior and demonstrates how acoustic or phase fields achieve levitation via gradient cancellation, consistent with the Recognition Composition Law and eight-tick resonance. It leaves open the explicit construction of a concrete external field realizing the required opposition.
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