elb8-dev/sdf-decoherence-paper: SDF Paper v1.0.0 - Universal Stretched-Exponential Decoherence
Abstract
We present a universal framework for quantum-to-classical transitions based on stretched-exponential decoherence: D(γ) = L[1 − exp(−(γ/τ)^β)] where β = 1 − α/2 emerges from environmental 1/f^α noise spectra. KEY RESULTS:• IBM Quantum (156 qubits): β = 0.852 ± 0.028, R² = 0.994• LIGO GWTC-3 (38 events): β = 0.931 ± 0.003, 20.9σ from GR• Cross-platform validation: 5 independent systems, 8 quantum state families THEORETICAL CONTRIBUTIONS:• First-principles derivation of β from Lindblad dynamics with Lévy-stable noise• Information conservation law: D + C = 1 (decoherence + coherence)• Emergent gravity: G_eff(r) = G·D(r/ℓ_P) regularizes singularities• Dark matter candidate: M_min ≈ 6 ng stable remnants This work unifies quantum decoherence phenomenology across 40 orders of magnitude in scale, from superconducting qubits to black hole ringdowns. Paper: 32 pages, 9 figures, 3 appendicesData: IBM Quantum experiments, LIGO GWTC-3 catalog analysisCode: Python scripts for all figures and analysis
Fields of Study & Subjects
Particle physics theoretical and experimental studies
Cosmology and Gravitation Theories
Dark Matter and Cosmic Phenomena
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 8 January 2026
- Language
- ENC
- Document type
- Preprint