IndisputableMonolith.Gravity.CoherenceFall
The CoherenceFall module supplies the linear approximation for total potential in an accelerating local frame together with coherence defect measures. It is used by levitation, energy bridge, and weak-field superposition calculations in the Gravity domain. This is a definition module with no proofs.
claim$Φ_{tot}(z) ≈ Φ_{grav}(h_{cm} + z) + a z$ for an accelerating frame with acceleration $a$ at displacement $z$ relative to the center of mass; the module also defines coherence_defect and related objects on Position, ProcessingField, and ExtendedObject.
background
The module operates inside the Gravity subdomain of Recognition Science and imports only Mathlib. It introduces the basic types Position, ProcessingField, and ExtendedObject, then defines total_potential_in_frame as the sum of the gravitational potential evaluated at the shifted center-of-mass coordinate plus the linear acceleration term. Additional siblings define coherence_defect, its expansion and simplification, and the statement that falling restores coherence.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the local-frame potential and defect objects required by AcousticPhaseLevitation, EnergyProcessingBridge, and WeakFieldSuperposition. It implements the linear approximation described in the module doc-comment for use in coherence calculations within the Recognition Science gravity chain.
scope and limits
- Does not derive the potential from the Recognition Composition Law.
- Does not include relativistic or higher-order curvature terms.
- Does not compute explicit numerical values for any mass or acceleration.
- Does not address global topology or multi-body interactions.