ElBalor/AlienX-Quantum-Knot

AlienX Quantum Knot v2

What this release is

AlienX Quantum Knot is a reproducible geometric neural-operator experiment for a perturbed trefoil vortex field. It is not a generic image model and it is not a conventional black-box sequence predictor. The experiment tests whether the AlienX substrate can preserve local geometric structure, complex phase coupling, and a controlled temporal response when the knot field is perturbed.

Architecture

The reusable AlienX substrate contains:

1. an SO(3)-aware local frame built from coordinates and local-neighbor covariance;
2. relevance-gated local QSA over frame-relative displacements;
3. geometric phase modulation and complex Hermitian interactions;
4. coherent neighbor superposition with residual updates; and
5. normalized complex-field objectives.

The Quantum Knot outer shell supplies the trefoil coordinates, density and phase channels, perturbation strength, normalized time, complex-density target, and vortex diagnostics. The inner operator is unchanged; the outer shell maps the substrate to this physical field.

Training and measured run

• 30 epochs
• 4,096 particles
• 32³ field convention
• perturbation sampled during training
• six deterministic evaluation frames from t=0 to t=1
• loss: 1.1110 → 0.1044
• final-frame complex reconstruction MSE: approximately 0.0504
• phase-circulation proxy: approximately 0.0895

The benchmark also includes a phase-input ablation, perturbation sweep, prediction deltas, and deterministic-inference check. These are recorded in quantum_knot_benchmark.json.

Reproduce

python -u AlienX-Qknot.py
python -u benchmark_quantum_knot.py

For a non-interactive run set ALIENX_KNOT_NO_LAUNCH=1. The checkpoint is alienx_quantum_knot_checkpoint.pt.

Files

• AlienX-Qknot.py — canonical training and inference source
• alienx_quantum_knot_checkpoint.pt — trained checkpoint
• benchmark_quantum_knot.py — reproducible benchmark
• quantum_knot_benchmark.json — measured benchmark output
• AlienX_Quantum_Knot_Paper.docx — full reproducibility paper
• AlienX-Quantum-Knot-v2-release.zip — compact release archive

Complete benchmark evidence

Every recorded metric is duplicated in metrics/quantum_knot_benchmark.json, and the temporal graph is in figures/temporal_benchmark.svg.

benchmark	included measurements
perturbation sweep	complex MSE, amplitude RMSE, phase alignment, and mean amplitude for strengths 0, .25, .5, .75, 1
phase-input ablation	complex MSE, amplitude RMSE, phase alignment, and mean amplitude with phase channels removed
temporal sequence	six frames from t=0 to t=1, frame-wise complex MSE, prediction delta, and phase-circulation proxy
reproducibility	fixed specimen/noise basis and deterministic inference check

Scope

This release demonstrates perturbation-conditioned temporal complex-field response and active phase coupling. A solver-backed claim of physical reconnection requires independent temporal solver ground truth; the benchmark keeps that distinction explicit while exposing the complete reproducible experiment.

From the Grimoire of Elbàlor, the Digital Necromancer.