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May 20, 20260 citationsOpen Access

Persistent Entropy–Energy Anti-Coupling and Phase-Coherent Resonance Structures in Anomalous Motion Datasets

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MIMd. Ra-bi-ul Islam Islam

Key Points

  • This research aims to explore the relationship between entropy and energy in anomalous motion datasets and its statistical implications.
  • Utilized the Dark Vital Dimensional Hypothesis framework for analysis.
  • Employed synthetic turbulence validation and open-source computational techniques.
  • Included various analytical components like the Universal Turbulence Law and Bootstrap Stability Analysis.
  • Identified structured entropy–energy coupling dynamics that challenge standard stochastic motion models.
  • Demonstrated phase-coherent resonance organization linked to turbulent behaviors.
  • Validated findings through comprehensive statistical analysis and surrogate randomization testing.

Abstract

This repository contains the full research manuscript, analytical figures, computational framework, and synthetic validation outputs associated with the D³ VITAL-X research initiative. The study investigates persistent entropy–energy anti-coupling structures, phase-coherent resonance organization, and turbulence-linked statistical dynamics within anomalous motion datasets using the Dark Vital Dimensional Hypothesis (DVDH) framework. Core analytical components include:- Universal Turbulence Law- Entropy–Energy Coupling Analysis- Dimensional Stability Index (DSI)- Effective Mass Proxy Modeling- Rolling Correlation Dynamics- Surrogate Randomization Testing- Bootstrap Stability Analysis- Noise Resilience and Phase Locking- Phase Attractor Geometry Reconstruction The repository includes:- Full publication manuscript (PDF)- Publication-grade analytical figures- Python-based computational pipeline- Synthetic turbulence validation framework- Statistical reproducibility architecture This work does not claim access to classified aerospace telemetry or proprietary defense datasets. All analyses were conducted using synthetic validation environments, open-source computational methods, and publicly discussed anomalous motion characteristics for theoretical and statistical exploration purposes only. The D³ VITAL-X framework proposes that structured entropy–energy coupling dynamics may provide an alternative statistical interpretation for certain anomalous turbulence signatures that appear inconsistent with purely stochastic motion models. All computational processing was performed using open-source Python libraries within a decentralized mobile research environment. Team D³ VITAL-X BangladeshTransform the World, Illuminate the Future!

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Cite This Study

Md. Ra-bi-ul Islam Islam (2026) studied this question.

synapsesocial.com/papers/6a0d5100f03e14405aa9d4d4https://doi.org/10.5281/zenodo.20269274
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