module module moderate

`IndisputableMonolith.Gravity.AcousticPhaseLevitation`

The module defines external phase or acoustic fields that add processing potential to local coherence models in Recognition Science gravity. Researchers modeling acoustic levitation or phase-modified defects would cite it for extending coherence calculations. It consists of definitions for modified potentials and levitation conditions built on five imported gravity modules.

claimAn external phase field $E$ contributes additive processing potential, yielding modified total potential $V' = V + V(E)$ and adjusted coherence defect $d' = d + f(E)$ that alters effective gravitational coupling.

background

The module sits in the Gravity domain and imports CoherenceFall, CoherenceGain, EightTickResonance, EnergyProcessingBridge, and WeakFieldSuperposition. These supply the base relations for how coherence defects produce gravitational effects and how resonance and superposition modify them. The central definition introduces an external phase/acoustic field that contributes its own processing potential, representing acoustic standing waves, rotating superconductors, or phase-locked electromagnetic fields that modify the local processing environment.

proof idea

this is a definition module, no proofs

why it matters in Recognition Science

The module supplies definitions for acoustic phase levitation and modified coupling that extend the Recognition framework to external fields. It draws on the eight-tick resonance import (T7) for phase stability and supports downstream calculations of equilibrium acceleration and effective gravitational coupling. It touches the Recognition Composition Law in settings with added external contributions.

scope and limits

Does not derive the explicit functional form of the external field from the forcing chain.
Does not compute numerical levitation thresholds or frequencies.
Does not include experimental validation data.
Does not address interactions with general relativity or quantum gravity.
Does not extend the model beyond the five imported coherence modules.

depends on (5)

Lean names referenced from this declaration's body.

IndisputableMonolith.Gravity.CoherenceFall module_import
IndisputableMonolith.Gravity.CoherenceGain module_import
IndisputableMonolith.Gravity.EightTickResonance module_import
IndisputableMonolith.Gravity.EnergyProcessingBridge module_import
IndisputableMonolith.Gravity.WeakFieldSuperposition module_import

declarations in this module (29)

structure ExternalPhaseField L63
def modified_total_potential L76
def modified_coherence_defect L85
lemma modified_coherence_defect_expand L93
lemma modified_coherence_defect_simplify L106
theorem modified_falling_condition L123
theorem acoustic_levitation L152
def equilibrium_acceleration L160
theorem equilibrium_is_coherent L165
def effective_gravitational_coupling L179
def baseline_gravitational_coupling L184
theorem anti_coherence_reduces_coupling L193
theorem complete_cancellation_is_levitation L209
structure LevitationInevitability L220
theorem levitation_is_inevitable L250
inductive PhaseFieldSource L261
theorem any_source_suffices L269
def weight_reduction_factor L280
theorem partial_weight_reduction L286
structure ForcingChainToLevitation L314
theorem forcing_chain_complete L329
structure UnconditionalLevitationCert L366
theorem levitation_unconditional L395
def antiGravField L419
theorem antiGravField_cancels L424
theorem concrete_levitation L435
theorem levitation_field_exists L442
structure FullLevitationCert L458
theorem full_levitation_cert L465