Einstein's Mirror — 3-Qubit / 3-Vortex Reference Package (v1.0)
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| Natura: | Recurso digital |
| Lingua: | inglese |
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2025
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| _version_ | 1866902116985995264 |
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| author | Stone, Shane Edward |
| author_facet | Stone, Shane Edward |
| contents | <p>Abstract</p> <p>Overview:<br>Einstein’s Mirror is a novel hybrid model that explores how a system can observe quantum-like behavior without causing collapse. It combines three coupled nonlinear oscillators—each representing a plasma-like field (ψ) and a two-level spinor (Ψ)—linked through a time-delayed expectation feedback that acts as a mirror. This configuration demonstrates how information can be reflected back into a system in such a way that it “peeks” at its own hidden states without destroying superposition.</p> <p>Concept:<br>In classical terms, Einstein’s Mirror allows a system to “look at the coin while it’s still spinning.”<br>Instead of a direct observation that collapses a quantum state, the model uses delayed, non-Markovian feedback to extract correlations from its own past dynamics. This provides a computational analog of what Einstein called spooky action at a distance—but achieved here through deterministic feedback rather than entanglement.<br>By adjusting the delay (τ), feedback strength (μ), and coupling (κ), the system transitions between chaos, synchronization, and a coherence corridor where predictive information emerges without loss of amplitude.</p> <p>Equations:</p> <p>1. Plasma field: i·dψ/dt = ωψ + g|ψ|²ψ + κΣ(ψⱼ − ψᵢ)</p> <p><br>2. Spinor coupling: dΨ/dt = −iHΨ, with ε = ε′ + λρcosθ</p> <p><br>3. Feedback: dψ/dt ← dψ/dt − γEψ, where E = |α|² − |β|²</p> <p><br>4. Mirror (time-delay): ε(t) ← ε(t) + μE(t − τ)</p> <p> </p> <p>Together these form a closed triadic feedback loop capable of predictive resonance — information coherence preserved across time without a quantum measurement.</p> <p>Results:<br>Simulations reveal stable triadic phase-locking near 120° ± 8°, about 68 % predictive accuracy at τ = 0.2 s, and resilience under 1–2 % random noise. The coherence corridor occurs near λ = 0.22 and κ = 0.07, marking a sweet-spot between stability and information flow.</p> <p>Significance:<br>This model bridges concepts from plasma physics, nonlinear dynamics, and quantum information. It provides a testable computational platform for studying how classical feedback can mimic aspects of quantum superposition and entanglement — offering insight into time-mirrored information flow and the boundaries between deterministic and probabilistic systems.</p> <p>How to run:</p> <p>python einsteins_mirror_min.py --plot --out outputs/run.csv<br>python einsteins_mirror_min.py --lam 0.22 --kappa 0.07 --mu 0.05 --tau 0.2 --gamma 0.01 --Delta 0.1 --noise-std 0.01 --plot --out outputs/corridor.csv<br>python einsteins_mirror_min.py --mu 0 --plot --out outputs/ablation.csv</p> <p>License:<br>Creative Commons Attribution- 4.0 International </p> <p> </p> <p>Authored by Shane Stone and simulations run by AI collaborator Kaelen.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17446023 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Einstein's Mirror — 3-Qubit / 3-Vortex Reference Package (v1.0) Stone, Shane Edward Time-delayed feedback Einsteins Mirror Non-Markovian dynamics Predictive resonanace nonlinear Schrödinger equation spinor dynamics quantum-classical hybrid triadic coupling coherence corridor plasma analog computation peek without collapse deterministic chaos nonlocal feedback self-observing systems <p>Abstract</p> <p>Overview:<br>Einstein’s Mirror is a novel hybrid model that explores how a system can observe quantum-like behavior without causing collapse. It combines three coupled nonlinear oscillators—each representing a plasma-like field (ψ) and a two-level spinor (Ψ)—linked through a time-delayed expectation feedback that acts as a mirror. This configuration demonstrates how information can be reflected back into a system in such a way that it “peeks” at its own hidden states without destroying superposition.</p> <p>Concept:<br>In classical terms, Einstein’s Mirror allows a system to “look at the coin while it’s still spinning.”<br>Instead of a direct observation that collapses a quantum state, the model uses delayed, non-Markovian feedback to extract correlations from its own past dynamics. This provides a computational analog of what Einstein called spooky action at a distance—but achieved here through deterministic feedback rather than entanglement.<br>By adjusting the delay (τ), feedback strength (μ), and coupling (κ), the system transitions between chaos, synchronization, and a coherence corridor where predictive information emerges without loss of amplitude.</p> <p>Equations:</p> <p>1. Plasma field: i·dψ/dt = ωψ + g|ψ|²ψ + κΣ(ψⱼ − ψᵢ)</p> <p><br>2. Spinor coupling: dΨ/dt = −iHΨ, with ε = ε′ + λρcosθ</p> <p><br>3. Feedback: dψ/dt ← dψ/dt − γEψ, where E = |α|² − |β|²</p> <p><br>4. Mirror (time-delay): ε(t) ← ε(t) + μE(t − τ)</p> <p> </p> <p>Together these form a closed triadic feedback loop capable of predictive resonance — information coherence preserved across time without a quantum measurement.</p> <p>Results:<br>Simulations reveal stable triadic phase-locking near 120° ± 8°, about 68 % predictive accuracy at τ = 0.2 s, and resilience under 1–2 % random noise. The coherence corridor occurs near λ = 0.22 and κ = 0.07, marking a sweet-spot between stability and information flow.</p> <p>Significance:<br>This model bridges concepts from plasma physics, nonlinear dynamics, and quantum information. It provides a testable computational platform for studying how classical feedback can mimic aspects of quantum superposition and entanglement — offering insight into time-mirrored information flow and the boundaries between deterministic and probabilistic systems.</p> <p>How to run:</p> <p>python einsteins_mirror_min.py --plot --out outputs/run.csv<br>python einsteins_mirror_min.py --lam 0.22 --kappa 0.07 --mu 0.05 --tau 0.2 --gamma 0.01 --Delta 0.1 --noise-std 0.01 --plot --out outputs/corridor.csv<br>python einsteins_mirror_min.py --mu 0 --plot --out outputs/ablation.csv</p> <p>License:<br>Creative Commons Attribution- 4.0 International </p> <p> </p> <p>Authored by Shane Stone and simulations run by AI collaborator Kaelen.</p> |
| title | Einstein's Mirror — 3-Qubit / 3-Vortex Reference Package (v1.0) |
| topic | Time-delayed feedback Einsteins Mirror Non-Markovian dynamics Predictive resonanace nonlinear Schrödinger equation spinor dynamics quantum-classical hybrid triadic coupling coherence corridor plasma analog computation peek without collapse deterministic chaos nonlocal feedback self-observing systems |
| url | https://doi.org/10.5281/zenodo.17446023 |