Anderson Localization and the Anderson Transition
Computational study of Environment-Assisted Quantum Transport (ENAQT) in open quantum chains. Validated against 1,000 exact HEOM trajectories; enhancement scales as ~2.1N with chain length; structural disorder amplifies rather than destroys ENAQT — universal in 95–100% of random configurations.
End-to-End Python implementation of Hayward et. al's (2026) method for modeling financial volatility as a nonlinear wave system. Extracts VIX/VXO/VSTOXX envelopes via FFT and Hilbert transforms, builds a Schrödinger-type Hamiltonian, and tracks eigenvalue-gradient shifts signaling Anderson localisation ahead of volatility events.
Falsification-first spin-geometry lab for finite spectral toy models: S³ spinor harmonics, Dirac operators, proxy gates, claim audits, and explicit non-claims. Research-only; no physical compactification or Standard Model claim.
Pure Rust ML primitives — spectral analysis, protein folding, Anderson localization. 4,500+ validation checks. Sovereign ML on commodity GPUs. AGPL-3.0
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