Love's Equation Dashboard

Result schema
v1

Initial optimization energy

1544.840997

Final optimization energy

1415.700550

Initial full energy

1546.482461

Final full energy

1418.081153

Spectral gap
0.050251

Plateau error

0.157864

Projector overlap
0.000000

Coherence variance
0.001925

Localization length
1.460278

Stress-energy trace

-0.012128

Lambda_eff

2.852960

FRW limit ok
True

Stable fixed point

False

Coherent phase
True

Mechanism acceptance gates

Each gate maps a visible mechanism in the paper-inspired workflow to an explicit pass/fail threshold, so it is obvious why the run is or is not considered aligned.

PASSSpectral gap clears configured floor (0.050250677419714465 >= 0.001)

PASSProjector overlap stays within geometric tolerance (7.373512711365042e-17 <= 0.05)

PASSCoherence variance stays below residual floor (0.0019248472552731617 <= 0.4)

FAILLocalized matter excitation remains finite (1.4602781732469023 <= 1.0)

PASSFRW reduction passes consistency gate (True is True)

FAILRG fixed point remains stable (False is True)

PASSCoherent phase emerges (True is True)

How the mechanism chain works

1Gradient flow lowers the optimization functional (without the Einstein sector) and also reports the full-energy trajectory for transparency.

2Projectors split geometry and matter so the dashboard can show whether the emergent sectors remain well separated.

3Matter observables and FRW reduction expose whether the simulated universe remains physically coherent.

4The ML dial search reuses prior runs to bias future parameter proposals, creating a persistent closed-loop learning cycle.

Lyapunov flow history

Step	Optimization energy	Full energy	Gradient norm	Lyapunov drop

Experiment controls

Run new experiments from this dashboard, load prior runs from the audit log, and validate payload integrity against the latest append-only audit record. You can also inject any TheoryConfig override (including integer search dials and ML search size) before launching a run.

Load previous run:

Config overrides (JSON)

INFOReady.

HASHAwaiting integrity check.

Raw result payload

{
  "audit": {
    "results_path": "experiment_results.json",
    "audit_log_path": "audit_log.jsonl",
    "ml_feedback_path": "ml_feedback.json",
    "flow_steps": 5
  },
  "cosmology": {
    "lambda_eff": 2.8529604730279186,
    "frw_limit_ok": true,
    "delta_h": 0.6936269636777679,
    "delta_h_dot": 0.34681348183888394,
    "hubble_dot": 0.2846789716877078,
    "hubble_squared": 1.6616912512229138,
    "lambda_E": 1.1739614436629533,
    "lambda_geom": 6.664308155411632e-33,
    "lambda_grav": 1.6789990293649655
  },
  "energy_final": 1415.7005498841781,
  "energy_initial": 1544.8409972181355,
  "fixed_point": {
    "stable": false,
    "beta_values": {
      "beta_E": -0.013999999999999997,
      "beta_coh": 0.5750000000000001,
      "beta_curv": 0.08250000000000002,
      "beta_sc": 0.05050000000000002
    },
    "couplings": {
      "g_E": 0.2,
      "g_coh": 1.0,
      "g_curv": 0.25,
      "g_sc": 0.2
    },
    "jacobian_eigenvalues": [
      0.5790011291425579,
      0.2334868534103853,
      0.3454807991020865,
      -0.07046878165502936
    ],
    "normalized_invariants": {
      "epsilon_star": 0.2,
      "rho_star": 0.25,
      "s_star": 1.0,
      "xi_star": 0.2
    }
  },
  "full_energy_final": 1418.0811529206326,
  "full_energy_initial": 1546.4824614699985,
  "lyapunov_history": [
    {
      "energy": 1544.8409972181355,
      "full_energy": 1546.4824614699985,
      "gradient_norm": 75.10567687501697,
      "lyapunov_drop": 0.0,
      "step": 0
    },
    {
      "energy": 1507.085239802762,
      "full_energy": 1507.1037289534781,
      "gradient_norm": 122.3268832637283,
      "lyapunov_drop": 37.75575741537341,
      "step": 1
    },
    {
      "energy": 1476.7633628379888,
      "full_energy": 1478.9512776963456,
      "gradient_norm": 130.97202474927053,
      "lyapunov_drop": 30.32187696477331,
      "step": 2
    },
    {
      "energy": 1437.1477738742587,
      "full_energy": 1438.164786829627,
      "gradient_norm": 239.13182703216114,
      "lyapunov_drop": 39.61558896373003,
      "step": 3
    },
    {
      "energy": 1415.7005498841781,
      "full_energy": 1418.0811529206326,
      "gradient_norm": 195.90717102937992,
      "lyapunov_drop": 21.4472239900806,
      "step": 4
    }
  ],
  "matter": {
    "localization_length": 1.4602781732469023,
    "amplitude": -0.1950611903651346,
    "kinetic_trace": 1.369759247519878,
    "quartic_strength": 0.7802095777592671,
    "stress_energy_trace": -0.012128279305932877,
    "einstein_residual": 1.1739614436629533
  },
  "phase": {
    "spectral_gap": 0.050250677419714465,
    "projector_overlap": 7.373512711365042e-17,
    "coherence_variance": 0.0019248472552731617,
    "spectral_plateau_error": 0.15786439833912033,
    "curvature_energy": 123.55503592227576,
    "coherent_phase": true,
    "bounded_curvature": true,
    "matter_geometry_disjoint": true,
    "positive_gap": true,
    "suppressed_coherence": true
  },
  "schema": {
    "name": "lovesequation.experiment_result",
    "version": 1
  },
  "universe_mapping": null
}