levitation_is_inevitable
plain-language theorem explainer
LevitationInevitability asserts that gravity equals coherence restoration for any processing field and extended object, external phase fields shift the unique equilibrium acceleration, anti-coherence inputs cancel coupling, and acoustic levitation occurs at zero defect. Recognition Science gravity models cite it to connect CoherenceFall results to experimental sources involving rotation and phase coherence. The proof is a term-mode structure instance that directly assigns four prior results.
Claim. The structure LevitationInevitability holds, where for every processing field and extended object there exists a unique real acceleration $a$ such that the coherence defect vanishes, external phase fields modify the defect landscape to admit a unique zero, anti-coherence inputs reduce gravitational coupling to zero, and acoustic levitation is achievable at zero defect.
background
ProcessingField and ExtendedObject are the core objects of the acoustic levitation model. Coherence_defect quantifies deviation from equilibrium in the J-cost sense supplied by PhiForcingDerived.of. Modified_coherence_defect incorporates an external phase field that shifts the equilibrium acceleration. The module sits inside the gravity domain and imports CoherenceFall to identify gravity with coherence restoration, plus EightTick for discrete phase relations.
proof idea
The proof is a term-mode construction of the LevitationInevitability structure. It assigns gravity_is_coherence to falling_restores_coherence, external_modifies_landscape to modified_falling_condition, anti_coherence_effect to complete_cancellation_is_levitation, and levitation_achievable to acoustic_levitation.
why it matters
This declaration packages the conditional levitation mechanism that links gravity to coherence-seeking via CoherenceFall. It fills the step connecting T5 J-uniqueness and T7 eight-tick octave to acoustic phenomena in the Recognition framework. No downstream uses are recorded yet; it touches the open question of realizing a concrete external field that satisfies the cancellation condition.
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