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| Main Author: | |
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| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2025
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| Subjects: | |
| Online Access: | https://doi.org/10.5281/zenodo.15610079 |
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Table of Contents:
- <p>This condensed study extends the <strong>T-helison formalism (H²)</strong> operator framework to address <strong>bipartite and multipartite quantum entanglement</strong>. In H², an entangled system is uniquely modelled as a <strong>single wave-fractal object</strong> characterized by an <strong>inseparable spiral topology</strong>.</p> <p>A key innovation lies in the replacement of GRW/CSL-type stochastic collapse mechanisms with a <strong>local, deterministic operator <span><span><span><span><span><span><span><span><span>R</span></span><span><span><span>ˇ</span></span></span></span></span></span></span><span>(</span><span>f</span><span>)</span></span></span></span></strong>. Despite this deterministic local operation, <strong>global unitarity is rigorously preserved by <span><span><span><span><span><span><span><span><span><span>U</span></span><span><span>~</span></span></span></span></span></span><span><span><span><span><span><span><span>T</span></span></span></span><span></span></span></span></span></span></span></span></span></strong>.</p> <p>The formalism makes remarkable predictions regarding entanglement correlations:</p> <ul> <li>It predicts <strong>"super-quantum" correlations</strong> that <strong>do not violate the no-signalling principle</strong>.</li> <li><strong>CUDA Fractal-Chain simulations</strong> (based on <span><span><span><span>1</span><span>0<span><span><span><span><span><span><span>6</span></span></span></span></span></span></span></span></span></span></span> samples) yield significant results: <ul> <li><strong>CHSH <span><span><span><span><span>S</span><span><span><span><span><span><span><span><span>H</span><span><span>2</span></span></span></span></span></span><span></span></span></span></span></span><span>≈</span></span><span><span>2.865</span></span></span></span></strong></li> <li><strong><span><span><span><span><span>I</span><span><span><span><span><span><span><span>3322</span></span></span></span><span></span></span></span></span></span><span>≈</span></span><span><span>0.959</span></span></span></span></strong> Both values <strong>exceed the conventional Tsirelson bounds</strong> while strictly adhering to the no-signalling condition.</li> </ul> </li> </ul> <p>The statistical stability of these predictions (with a Standard Error of the Mean (SEM) <span><span><span><span>≲</span></span><span><span>1</span><span>0<span><span><span><span><span><span><span>−3</span></span></span></span></span></span></span></span></span></span></span>) and clearly defined parameter targets (specifically, <span><span><span><span>θ</span><span>≈</span></span><span><span>0.53</span></span></span></span> rad and <span><span><span><span><span>η</span><span><span><span><span><span><span><span><span>crit</span></span></span></span></span><span></span></span></span></span></span><span>≥</span></span><span><span>0.85</span></span></span></span>) make experimental verification feasible. Potential platforms for such verification include:</p> <ul> <li><strong>Photonic systems</strong> (e.g., using PPKTP crystals and SNSPD detectors).</li> <li><strong>Flux-qubit platforms</strong>.</li> </ul> <p>Should these predictions be experimentally confirmed, it would necessitate a <strong>revision of the Tsirelson axiom</strong> and significantly <strong>bolster a wave-fractal ontology of entanglement</strong>, offering a profound new perspective on one of quantum mechanics' most perplexing phenomena.</p>