Published November 16, 2025 | Version 7.2
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The Divine Wave Model (DWM) Mass Operator v7.2: A Shell-Tuned, Coherence-Field Phenomenological Framework for Nuclear Binding Energies

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Description

This work presents Version 7.2 of the Divine Wave Model (DWM) Mass Operator, a coherence-based phenomenological formulation for describing nuclear binding energies. In this hypothesis, a nucleus is treated as a structured coherence field whose density and phase underpin inertial and binding properties. The operator combines a coherence-mass baseline with a standard semi-empirical liquid-drop term, quadrupole deformation corrections, rotational excitations, a gradient-based domain-smoothness functional, and a tuned shell correction capturing magic-number enhancements. A toy numerical implementation reproduces the global binding-energy-per-nucleon curve—including the rapid rise for light nuclei, the maximum near iron, and the slow decline across the actinides—while remaining clearly defined as a speculative but testable framework. Version 7.2 standardizes notation, signs, and physical interpretation, and provides a consistent foundation for further development and falsification studies.

Abstract

This Zenodo deposit contains the full Version 7.2 manuscript of the Divine Wave Model (DWM) Mass Operator, a coherence-field interpretation of nuclear mass systematics. The document consolidates the structure of the DWM hypothesis into a professional physics-style formulation, integrating:

• Coherence-field mass integral  
• Semi-empirical bulk (liquid-drop) binding  
• Quadrupole deformation and triaxiality corrections  
• Rotational excitation energy with moment-of-inertia scaling  
• Domain-smoothness gradient functional  
• Shell correction calibrated to magic-number binding enhancements  

The v7.2 mass operator reproduces key empirical features of nuclear binding: the rapid rise in B/A for light nuclei, the maximum around A≈56, and the slow energetic decline into the actinides. Numerical tests are included as a toy implementation. All terms are clearly marked as phenomenological and hypothesis-based, not derived from Standard Model nuclear Hamiltonians.

This document serves as the clean, citable specification for the DWM Mass Operator series, supporting replication, comparison against nuclear mass tables, and future falsification or refinement work. DOI issued by Zenodo ensures the model remains archived and publicly accessible for open scientific review.

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Available
2025-11-16