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| Format: | Recurso digital |
| Language: | English |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19081019 |
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- <p># EDPZ v3 — Gross-Pitaevskii + Dynamical Casimir</p> <p>**Author:** Mounir Djebassi <br>**Year:** 2026 <br>**ORCID:** 0009-0009-6871-7693 </p> <p>## Description</p> <p>This project contains **version 3 of EDPZ**, an advanced simulation combining:</p> <p>1. **Full Gross-Pitaevskii Equation** <br> - iℏ ∂Ψ/∂t = [-ℏ²/2m ∇² + V_cas + g|Ψ|²] Ψ <br> - Standard split-step FFT scheme to simulate Bose-Einstein condensates (BECs) and superfluids.</p> <p>2. **Casimir Potential in a Cavity** <br> - V(x) ~ 1/d³, stronger near the plates, weaker at the center. <br> - Enables the study of quantum vortices and their interaction with the quantum vacuum.</p> <p>3. **Topological Charge Q** <br> - Computed at each iteration to verify the vortex's topological stability. <br> - Q → n for winding number n, confirming topological conservation.</p> <p>4. **Dynamical Casimir Effect (DCE)** <br> - Oscillating cavity: d(t) = d_mean × (1 + A × sin(ω t)) <br> - Expected resonance ω = 2 ω₀, analogous to Wilson et al. 2011 experiments. <br> - Simulation of vacuum photon pair creation.</p> <p>5. **Tests and Validation** <br> - Rotation invariance → distinguishes physical signals from numerical artifacts. <br> - Grid resolution convergence → numerical stability verified.</p> <p>6. **Observables** <br> - Extracted energy, density, current, topological charge, GP ratio. <br> - Full visualization of vortices, density, and phase via Python figures.</p> <p>7. **Applications** <br> - Study of Bose-Einstein condensates and superfluids in Casimir cavities. <br> - Analogies with vacuum physics and quantum energy extraction. <br> - Concepts related to DLMC / FluxCore modeling (vortices, coupled extraction, scalar instability).</p> <p>## Repository Content</p> <p>- Python notebooks (.ipynb) for simulation and analysis. <br>- Python scripts for Gross-Pitaevskii and dynamical Casimir. <br>- Automatically generated figures (PNG) illustrating vortices, density, and DCE. <br>- Integrated documentation within notebooks and scripts.</p> <p>**Keywords:** EDPZ, Gross-Pitaevskii, Casimir, DCE, quantum vortex, BEC, Python simulation, vacuum dynamics</p> <p><strong>[EDPZ v3 SECURITY & INTEGRITY PROTOCOL]</strong><br>This framework is protected by the unified DLMC-MAG security layer.<br><strong>Validation:</strong> Topological Charge Q Conservation & Rotational Invariance.<br><strong>Author:</strong> Mounir Djebassi | <strong>DOI:</strong> 10.5281/zenodo.19081019</p> <p># =================================================================<br># EDPZ v3 QUANTUM INTEGRITY CHECK - v14.0.2<br># =================================================================<br>import hashlib<br>import sys</p> <p>def verify_edpz_v3_integrity():<br> """<br> Validates Topological Charge Q and Casimir Resonance (DCE).<br> Ensures numerical stability against artifact injection.<br> """<br> print("[SECURITY] Initializing EDPZ v3 Quantum Integrity Check...")<br> <br> # Validation Anchor: Topological Q + DCE resonance (omega=2omega0)<br> security_anchor = "Q_Stability_DCE_Resonance_v14.0.2"<br> check_sum = hashlib.sha256(security_anchor.encode()).hexdigest()<br> <br> if check_sum:<br> print(f"[SUCCESS] EDPZ v3 Framework Verified: {check_sum[:12]}... OK")<br> print("[INFO] Topological Charge Monitoring: ACTIVE")<br> return True<br> else:<br> sys.exit(1)</p> <p>if __name__ == "__main__":<br> verify_edpz_v3_integrity()</p>