IndisputableMonolith.Gravity.CoherenceFall
The CoherenceFall module defines the total potential in an accelerating frame and related coherence defects for local gravity modeling in Recognition Science. It supplies the linear approximation Φ_tot(z) ≈ Φ_grav(h_cm + z) + a·z together with defect measures. Downstream modules on acoustic levitation, energy processing, and weak-field superposition import these objects. The module consists entirely of definitions with no proofs.
claimThe central object is the total potential $\Phi_{\rm tot}(z) \approx \Phi_{\rm grav}(h_{\rm cm} + z) + a \cdot z$ for an accelerating frame with acceleration $a$ at displacement $z$ relative to the center of mass, together with the associated coherence defect functions.
background
Recognition Science models gravity via coherence defects on the phi-ladder. The module introduces the types Position, ProcessingField and ExtendedObject to represent extended objects in a gravitational field. It defines total_potential_in_frame via the linear approximation given in the module doc-comment and supplies coherence_defect together with its expansion and simplification lemmas. The setting is the local-frame limit of the gravity domain, prior to any global phi-ladder or RCL application.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The definitions are imported by AcousticPhaseLevitation, EnergyProcessingBridge and WeakFieldSuperposition. The module therefore supplies the local accelerating-frame potential and defect objects required by those downstream gravity constructions. It fills the linear-approximation step that precedes coherence-restoration arguments in the Recognition Science gravity chain.
scope and limits
- Does not contain any theorems or proofs.
- Does not reference the phi-ladder mass formula or RCL.
- Does not treat global spacetime or curvature effects.
- Does not address Berry creation or Z_cf thresholds.