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Software . 2025
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IDMR–YM v3.4: Final Numerical Validation, Stability Bounds, and Phase Coherence Tracking

Authors: Morales Cordoba, Victor Eduardo;

IDMR–YM v3.4: Final Numerical Validation, Stability Bounds, and Phase Coherence Tracking

Abstract

This record provides the final numerical validation suite for the IDMR–YM framework (v3.4). It documents a rigorous three-phase validation process: (1) Convergence & Norm Stability: Confirming second-order convergence ($p \approx 2.0$) and norm conservation using absorbing boundary masks. (2) Energy & Phase Coherence: Demonstrating that the IDMR field acts as a coherent energy reservoir with stable phase evolution ($\delta \Phi < 10^{-2}$ rad), supporting the PNGB stabilization mechanism. (3) Parametric Robustness: Identifying a critical damping threshold at $\alpha_{crit} \approx 0.01$ for vacuum stability. These results confirm the computational viability of the 'Induced Mass' mechanism and provide definitive constraints for the coupling constants discussed in EPJC-25-12-332.This record provides the final numerical validation suite for the IDMR–YM framework (v3.4). It documents a rigorous three-phase validation process: (1) Convergence & Norm Stability: Confirming second-order convergence ($p \approx 2.0$) and norm conservation using absorbing boundary masks. (2) Energy & Phase Coherence: Demonstrating that the IDMR field acts as a coherent energy reservoir with stable phase evolution ($\delta \Phi < 10^{-2}$ rad), supporting the PNGB stabilization mechanism. (3) Parametric Robustness: Identifying a critical damping threshold at $\alpha_{crit} \approx 0.01$ for vacuum stability. These results confirm the computational viability of the 'Induced Mass' mechanism and provide definitive constraints for the coupling constants discussed in EPJC-25-12-332.

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Keywords

empirical traceabilit, energy and work computation, quantum diagnostics, reproducible research, modular simulation pipeline, scientific transparency, convergence testing, IDMR–YM protoco, empirical reproducibility, numerical validation, dielectric sensitivity, phase evolution, norm monitoring, quantum phase coherence, astrophysical modeling

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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