babylon.engine.systems.field_derivative

FieldDerivativeSystem — System #15 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 contradiction identification, and continuity residuals.

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 15)

Classes

FieldDerivativeSystem()

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

Bases: object

Compute spatial and temporal derivatives for contradiction fields.

Execution Order: 15 (after ContradictionFieldSystem)

Reads contradiction_fields from nodes (written by System #14), computes gradients on edges, Laplacian at nodes, and temporal derivatives from the rolling history in persistent_data.

name = 'field_derivative'
step(graph, services, context)[source]

Compute all spatial and temporal derivatives.

Parameters:

  • graph – Mutable graph (NetworkX or GraphProtocol).

  • services – ServiceContainer with field_registry.

  • context – TickContext or dict with tick and persistent_data.