IDMR–YM v3.4: Final Numerical Validation, Stability Bounds, and Phase Coherence Tracking
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2025
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| _version_ | 1866901642037690368 |
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| author | Morales Cordoba, Victor Eduardo |
| author_facet | Morales Cordoba, Victor Eduardo |
| contents | <p> </p> <p>This record provides the final numerical validation suite for the IDMR–YM framework (v3.4). It documents a rigorous three-phase validation process: (1) <strong>Convergence & Norm Stability:</strong> Confirming second-order convergence (<span>$p \approx 2.0$</span>) and norm conservation using absorbing boundary masks. (2) <strong>Energy & Phase Coherence:</strong> Demonstrating that the IDMR field acts as a coherent energy reservoir with stable phase evolution (<span>$\delta \Phi < 10^{-2}$</span> rad), supporting the PNGB stabilization mechanism. (3) <strong>Parametric Robustness:</strong> Identifying a critical damping threshold at <span>$\alpha_{crit} \approx 0.01$</span> for vacuum stability. These results confirm the computational viability of the 'Induced Mass' mechanism and provide definitive constraints for the coupling constants discussed in <strong>EPJC-25-12-332</strong>.This record provides the final numerical validation suite for the IDMR–YM framework (v3.4). It documents a rigorous three-phase validation process: (1) <strong>Convergence & Norm Stability:</strong> Confirming second-order convergence (<span>$p \approx 2.0$</span>) and norm conservation using absorbing boundary masks. (2) <strong>Energy & Phase Coherence:</strong> Demonstrating that the IDMR field acts as a coherent energy reservoir with stable phase evolution (<span>$\delta \Phi < 10^{-2}$</span> rad), supporting the PNGB stabilization mechanism. (3) <strong>Parametric Robustness:</strong> Identifying a critical damping threshold at <span>$\alpha_{crit} \approx 0.01$</span> for vacuum stability. These results confirm the computational viability of the 'Induced Mass' mechanism and provide definitive constraints for the coupling constants discussed in <strong>EPJC-25-12-332</strong>.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18062173 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | IDMR–YM v3.4: Final Numerical Validation, Stability Bounds, and Phase Coherence Tracking Morales Cordoba, Victor Eduardo IDMR–YM protoco numerical validation quantum phase coherence convergence testing norm monitoring energy and work computation dielectric sensitivity empirical reproducibility astrophysical modeling quantum diagnostics reproducible research empirical traceabilit phase evolution scientific transparency modular simulation pipeline <p> </p> <p>This record provides the final numerical validation suite for the IDMR–YM framework (v3.4). It documents a rigorous three-phase validation process: (1) <strong>Convergence & Norm Stability:</strong> Confirming second-order convergence (<span>$p \approx 2.0$</span>) and norm conservation using absorbing boundary masks. (2) <strong>Energy & Phase Coherence:</strong> Demonstrating that the IDMR field acts as a coherent energy reservoir with stable phase evolution (<span>$\delta \Phi < 10^{-2}$</span> rad), supporting the PNGB stabilization mechanism. (3) <strong>Parametric Robustness:</strong> Identifying a critical damping threshold at <span>$\alpha_{crit} \approx 0.01$</span> for vacuum stability. These results confirm the computational viability of the 'Induced Mass' mechanism and provide definitive constraints for the coupling constants discussed in <strong>EPJC-25-12-332</strong>.This record provides the final numerical validation suite for the IDMR–YM framework (v3.4). It documents a rigorous three-phase validation process: (1) <strong>Convergence & Norm Stability:</strong> Confirming second-order convergence (<span>$p \approx 2.0$</span>) and norm conservation using absorbing boundary masks. (2) <strong>Energy & Phase Coherence:</strong> Demonstrating that the IDMR field acts as a coherent energy reservoir with stable phase evolution (<span>$\delta \Phi < 10^{-2}$</span> rad), supporting the PNGB stabilization mechanism. (3) <strong>Parametric Robustness:</strong> Identifying a critical damping threshold at <span>$\alpha_{crit} \approx 0.01$</span> for vacuum stability. These results confirm the computational viability of the 'Induced Mass' mechanism and provide definitive constraints for the coupling constants discussed in <strong>EPJC-25-12-332</strong>.</p> |
| title | IDMR–YM v3.4: Final Numerical Validation, Stability Bounds, and Phase Coherence Tracking |
| topic | IDMR–YM protoco numerical validation quantum phase coherence convergence testing norm monitoring energy and work computation dielectric sensitivity empirical reproducibility astrophysical modeling quantum diagnostics reproducible research empirical traceabilit phase evolution scientific transparency modular simulation pipeline |
| url | https://doi.org/10.5281/zenodo.18062173 |