babylon.engine.systems.field_derivative

FieldDerivativeSystem — System #20 in materialist causality order.

Dialectical Field Topology (Feature 002): Computes spatial derivatives (gradient on edges, Laplacian on nodes), temporal derivatives (df/dt, d2f/dt2), principal-field identification, and continuity residuals.

Its principal_field graph attr is the field-stack’s fastest-developing contradiction FIELD — deliberately distinct from ContradictionSystem @18’s Maoist principal OPPOSITION, so the two never fight (E0 rename).

Reference: FR-003 (gradient), FR-004 (Laplacian) Reference: FR-006 (temporal derivatives) Reference: FR-008 (principal contradiction) Reference: FR-009 (continuity residuals) Reference: R-006 (system ordering — position 20)

Classes

FieldDerivativeSystem()

Compute spatial and temporal derivatives for contradiction fields.
class babylon.engine.systems.field_derivative.FieldDerivativeSystem[source]

Bases: SystemBase

Compute spatial and temporal derivatives for contradiction fields.

Execution Order: 20 (after ContradictionFieldSystem)

Reads contradiction_fields from nodes (written by System #19), computes gradients on edges, Laplacian at nodes, and temporal derivatives from the rolling history in persistent_data.

name: ClassVar[str] = 'field_derivative'
creates_value: ClassVar[bool] = False
step(graph, services, context)[source]

Compute all spatial and temporal derivatives.

Parameters:

  • graph (GraphProtocol) – Mutable graph (NetworkX or GraphProtocol).

  • services (ServicesProtocol) – ServicesProtocol with field_registry.

  • context (ContextType) – TickContext or dict with tick and persistent_data.

Return type:

None