IndisputableMonolith.Gravity.AcousticPhaseLevitation
AcousticPhaseLevitation defines ExternalPhaseField as an external contribution to processing potential, enabling acoustic waves and phase-locked fields to modify local coherence in gravity models. Gravity researchers extending coherence-based levitation would cite the modified potentials and coupling adjustments. The module aggregates definitions from five imported coherence and resonance modules. Its structure consists of named definitions and expansions with no central theorem.
claimAn external phase field $\phi_{ext}$ contributes processing potential. The modified total potential satisfies $V_{mod} = V + \phi_{ext}$, the modified coherence defect is $D_{mod} = D - \Delta(\phi_{ext})$, and equilibrium acceleration follows from the adjusted falling condition under eight-tick resonance.
background
The module sits in the Gravity domain and imports CoherenceFall, CoherenceGain, EightTickResonance, EnergyProcessingBridge, and WeakFieldSuperposition. These supply the base coherence defect, gain under resonance, and superposition rules. ExternalPhaseField is introduced exactly as any mechanism (acoustic standing waves, rotating superconductors, phase-locked fields) that modifies the local processing environment.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the interface for phase-modified gravity, feeding constructions of modified gravitational coupling and equilibrium conditions into the larger Recognition framework. It directly extends the eight-tick resonance and coherence mechanisms already present in the imported modules.
scope and limits
- Does not derive the external field from first principles.
- Does not compute numerical levitation heights or forces.
- Does not prove dynamical stability of equilibria.
- Does not connect to laboratory data or specific materials.
depends on (5)
declarations in this module (29)
-
structure
ExternalPhaseField -
def
modified_total_potential -
def
modified_coherence_defect -
lemma
modified_coherence_defect_expand -
lemma
modified_coherence_defect_simplify -
theorem
modified_falling_condition -
theorem
acoustic_levitation -
def
equilibrium_acceleration -
theorem
equilibrium_is_coherent -
def
effective_gravitational_coupling -
def
baseline_gravitational_coupling -
theorem
anti_coherence_reduces_coupling -
theorem
complete_cancellation_is_levitation -
structure
LevitationInevitability -
theorem
levitation_is_inevitable -
inductive
PhaseFieldSource -
theorem
any_source_suffices -
def
weight_reduction_factor -
theorem
partial_weight_reduction -
structure
ForcingChainToLevitation -
theorem
forcing_chain_complete -
structure
UnconditionalLevitationCert -
theorem
levitation_unconditional -
def
antiGravField -
theorem
antiGravField_cancels -
theorem
concrete_levitation -
theorem
levitation_field_exists -
structure
FullLevitationCert -
theorem
full_levitation_cert