Recursive Observer Knot CA ​

Spine Position: M4-SIMULATION Status Boundary: prototype Simulation Boundary: This simulation is an internal computational model for stress-testing authorial invariants. It is not empirical validation. Model Purpose: Explore cellular automaton behavior of observer knots.

Contract Summary ​

Defined in simulations/python/recursive_observer_knot_ca.contract.json.

Parameters ​

  • width, height, steps, seed, stabilization_threshold

Invariants ​

  • I1: Boundary coherence should not collapse below threshold after stabilization.
  • I2: Recursive depth should remain bounded by recursive_depth_limit.

Failure Conditions ​

  • Negative entropy drift.
  • Unbounded depth recursive loop.

Output Schema ​

JSON containing time series metrics and violation counts.

Interpretation Limits ​

Internal logic checks only.

Diagnostics and Results ​

Reproducibility Notes ​

This simulation is run purely on the Python standard library. The outputs referenced above are deterministic given the seed values in the parameter payload.

Interpretation Boundary ​

Safety Boundary: This data represents a computational trace and an invariant stress-test of the underlying mathematical topology. It does not represent empirical validation, confirmed experimental results, or proven scientific models. It strictly internal consistency check.

SIMULATION BOUNDARY

The computations displayed on this page represent a Simulation Candidate (M4-SIMULATION classification). This is an algorithmic execution stress-test of internal mathematical invariants.

DO NOT interpret this output as empirical confirmation or formal theorem proof. The environment is strictly a computational model.

INTERPRETATION BOUNDARY

Any metrics or timeseries data derived from this simulation are strictly confined to the defined parameter space and cannot be generalized to physical reality without corresponding formalization and review (S5 classification).