Relational dynamics contract index¶

Choose the complete law and evidence contract before using a relational API. Native execution, detached smooth-sine assessments, shared observations and conditional proof tools keep distinct admission and numerical guarantees.

Chapters and scope¶

Chapter	Responsibility
Native relational execution and observations	Argument-based field and finite-step execution, native tangents, prepared patterns and hypothetical support/state events.
Native relational capture, memory and continuous proofs	Native capture and exclusions, cycle/contact memory, transit, reflected proofs, regularity and retained robustness evidence.
Shared observations, information and finite-sample bounds	Regional and source-relative observations, exact linear and phase-moment information, finite-sample evidence and shared circular geometry.
Normalized-sine comparison, inference and forecasts	Shared sine-law report admission, captured comparison, retained mediation, sampling, hidden state/capacity inference and prior-only forecasting.
Sine response, constitutive comparisons and hidden memory	Declared input/output resonance, bridge-law and clock discrimination, return-path geometry, causal hidden memory, autonomous pulses and recurrence distinctions.
Sine pattern geometry, formation and recovery	Relative patterns and origins, composition, equilibrium and symmetry, prepared formation, recovery/capture, controlled slow references and budget exclusions.
Conservative sine saddle preparations and certificates	Signed-involution preparation, the C5/private-leaf saddle, directed passage, same-orbit retention, sensitivity, retained-metric forecasts and constitutive controls.
Conservative sine regional and collective dynamics	Regional storage and currents, conservative winding acquisition and retention, compatible collective families, actual contact feedback and forecast-derived organization.
Retained sine pair state, identification and pulses	Sufficient unordered/mixed pair state and cancellation inversion, capacities and support symmetry, pairing observations and windows, emission/transfer and doubled-C5 pulse response.

Existing section links remain available through this index. The execution plan alone assigns research work.

Shared observation and finite-sample bounds¶

Observation readers retain supplied model and measurement premises; they do not execute a graph.

Normalized-sine comparison and proof tools¶

Smooth-sine reports retain their declared loss, capacity, support and preparation. They do not select the native execution law.

Section link directory¶

These aliases route existing citations to their substantive owner.