IndisputableMonolith.Gravity.CoherenceFall
The CoherenceFall module supplies definitions for total potential in an accelerating frame and coherence defect measures on the phi-ladder. Gravity researchers modeling local frame effects or coherence restoration in free fall cite these constructions. The module is built from type declarations and algebraic simplifications that support linear approximations without invoking the full forcing chain.
claimDefine total potential in an accelerating frame by $Φ_{tot}(z) ≈ Φ_{grav}(h_{cm} + z) + a z$, together with coherence_defect that quantifies deviation from J-coherence and falling_restores_coherence that tracks restoration under the linear term.
background
Recognition Science models gravity via coherence defects measured against the J-functional and the phi-ladder. This module introduces Position, ProcessingField and ExtendedObject as the basic carriers for spatial and field data. The central construction is total_potential_in_frame, which adds the linear acceleration term to the gravitational potential at the center-of-mass reference. Coherence_defect and its expand/simplify variants then extract the defect contribution that appears in the Recognition Composition Law.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
These definitions supply the local-frame objects required by AcousticPhaseLevitation, EnergyProcessingBridge and WeakFieldSuperposition. They close the gap between the abstract eight-tick octave and concrete gravitational calculations by furnishing the linear potential that enters the mass formula and the Berry creation threshold.
scope and limits
- Does not derive the global gravitational potential from the J-equation.
- Does not include relativistic or higher-order curvature terms.
- Does not assign numerical values to G or alpha in RS units.
- Does not prove coherence restoration; only defines the relevant defect.