Simulation Runtime ​

TIP

Runtime Health: The execution state of these boundaries is tracked via Cross-Model Telemetry.

The Simulation Runtime establishes a computational bridge from rigorous mathematical artifacts (M3) to executable prototype simulations (M4-SIMULATION).

WARNING

EPISTEMIC BOUNDARY The Simulation Runtime is an environment for computational stress tests. Simulations do not constitute empirical proof. They do not prove theorems or provide experimental confirmation. The simulations validate the algorithmic tractability of the models and test whether structural invariants hold within defined boundaries.

Architecture ​

The runtime architecture separates the formal mathematical model from its computational realization:

  1. Formal Definitions (M3): Unambiguous logical relationships and invariant constraints.
  2. Computational Model: The algorithmic approximation of the formal definition, translated to a target language (Python, Rust, Motoko).
  3. Simulation Candidate (M4): A specific executable configuration.
  4. Parameter Space: The boundary conditions under which the candidate is evaluated.
  5. Invariant Test: A computational check ensuring that operations preserve the essential symmetries and metrics defined in M3.

Status Classifications ​

Simulation Candidates are strictly classified to prevent bounded testing from being misinterpreted as physical fact:

  • \planned: A mathematical model has been identified for simulation, but no computational translation exists.
  • \scaffolded: Initial interfaces, variable bounds, and failure conditions are drafted. The code is not yet executable.
  • \prototype: An executable simulation exists. It has successfully demonstrated specific invariant checks within a narrow parameter space.

  • eproducible: The prototype runs predictably across standardized inputs.

  • eviewed: The computational methodology has been reviewed against the formal model.

Failure Conditions ​

A simulation is considered to have failed (and thus provided falsifying friction) if:

  • A formally proven invariant is violated during execution.
  • The computational resources required exceed polynomial tractability for a supposedly localized operation.
  • The boundary conditions collapse inconsistently.

Prototype Traces ​

View the computational trace and invariant stress-test results for the Recursive Observer Knot CA. Note that this is a diagnostic run, not a diagnostic trace.