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Adjacency Theory markAdjacency Theory

Registry

Versioned model registry

Each model implements a common adapter interface, so the site can compare versions without rewriting the interface. Revisions create versions; they never rewrite history.

AT-RDH-0

Reproduction Lab

AT-0active

Weighted relational graph with the toy transform d_ij = -L ln(R_ij) and shortest-weighted-path separation. Exists to validate the software, not to make claims.

Implements

  • Deterministic graph construction (chain, ring, lattice, small-world, random)
  • Shortest weighted path (dense Dijkstra) and geodesic extraction
  • Numerical sensitivity matrix ∂D/∂R_ij by central difference
  • Metric audit: non-negativity, symmetry, triangle inequality, identity of indiscernibles
  • Seeded reproducibility: same seed + version ⇒ same result

Not modelled

  • Time, Lorentzian signature, light cones (AT-4)
  • Stress-energy and energy conditions (AT-5)
  • Manifold reconstruction from relational states (AT-3)
  • Any mapping to measurable physical quantities

Version history

  • v0.1.0 · dijkstra-log-coupling-1.0.0 · current

    • Initial public reproduction engine.
    • Constraint engine returns NOT MODELED for causality and energy conditions.
    • Result contract frozen: physicalClaim is hard-coded false.
AT-RDH-1

Relational Perturbation

AT-1in-design

Measures the response ΔD to a controlled ΔR, with robustness under bounded noise and null-model comparison.

Implements

  • Single-edge and multi-edge perturbation sweeps (prototype, runs on the AT-0 core)
  • Noise-ensemble robustness statistics

Not modelled

  • Dynamics: nothing here evolves in time
  • Cost of a perturbation in any physical currency

Version history

No released versions.

AT-RDH-2

Adjacency Transition Search

AT-2in-design

Searches for regimes where a small ‖ΔR‖ produces a large |ΔD| — path-switch thresholds and nonlinear response.

Implements

  • Greedy small-norm search over couplings (prototype, runs on the AT-0 core)
  • Path-switch threshold detection

Not modelled

  • Whether any such transition corresponds to anything physical

Version history

No released versions.

AT-RDH-3

Geometry Reconstruction

AT-3not-started

Tests whether relational states reconstruct recognisable metric structure rather than arbitrary graph distances.

Implements

—

Not modelled

  • Everything. Not started.

Version history

No released versions.

AT-RDH-4

Causal Geometry

AT-4not-started

Introduces time, Lorentzian structure, light cones and signalling constraints.

Implements

—

Not modelled

  • Everything. Not started.

Version history

No released versions.

AT-RDH-5

Energy Correspondence

AT-5not-started

Estimates stress-energy and energy-condition implications of candidate geometric changes.

Implements

—

Not modelled

  • Everything. Not started.

Version history

No released versions.

Adapter contract

{
  modelId, modelVersion, algorithmVersion, experimentId,
  inputs:  { topology, nodeCount, baseCoupling, noise,
             lengthScale, source, target, seed, overrides },
  outputs: { effectiveDistance, path, pathEdges, hops,
             graph, sensitivity },
  metrics: { effectiveDistance, hops, edgeCount, nodeCount,
             meanDegree, meanCoupling, maxSensitivity, runtimeMs },
  constraintResults: [ { id, name, status, detail } ],
  physicalClaim: false,
  warnings, randomSeed, timestamp
}