Title: The Cosmic Harmonic Cycle v1.9: A First-Principles Wave-Resonance Model of Nuclear Binding

This work presents the Cosmic Harmonic Cycle (CHC) v1.9, a first-principles theoretical framework that unifies nuclear and cosmological scales through the principle of wave-resonance. Core Claim: The strong nuclear force is not a fundamental interaction. Instead, atomic nuclei are modeled as 3-dimensional spherical cavities containing stable standing waves. Binding energy emerges from geometric interference and resonance, not from "glue" particles. Key Innovations in v1.9: 1. Derivation from 4 Constants: All binding energy predictions are calculated from 4 constants fitted only to the deuteron. No other free parameters are used. 2. Bessel Geometry: Nuclear "magic numbers" and shell structure arise naturally from the roots of spherical Bessel functions, $j_l(x_{ln})$, which define the resonant modes of the nuclear cavity. 3. Neutron Excess Correction: The final term $cos(\pi * (N-Z) / A^(1/3))$ resolves previous 3% deviations in heavy nuclei, achieving <0.3% error. 4. Unification: The same wave principle is extended to cosmology, proposing that black holes act as "Re-harmonization Reactors" (RHM). Results: The model achieves 99.7% agreement with experimental binding energies from AME2020 for nuclei from He-4 to Fe-56, including He-4, C-12, O-16, Ca-40, and Fe-56. This paper represents the complete micro-scale formulation of the

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-10
DOI
https://doi.org/10.5281/zenodo.22692388
Primary Topic
Cold Fusion and Nuclear Reactions
Type
article
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article

Title: The Cosmic Harmonic Cycle v1.9: A First-Principles Wave-Resonance Model of Nuclear Binding

Abdelhak elhamidi
Zenodo (CERN European Organization for Nuclear Research)
Cold Fusion and Nuclear Reactions
article

Title: The Cosmic Harmonic Cycle v1.9: A First-Principles Wave-Resonance Model of Nuclear Binding

Abdelhak elhamidi
article en

Abstract

This work presents the Cosmic Harmonic Cycle (CHC) v1.9, a first-principles theoretical framework that unifies nuclear and cosmological scales through the principle of wave-resonance. Core Claim: The strong nuclear force is not a fundamental interaction. Instead, atomic nuclei are modeled as 3-dimensional spherical cavities containing stable standing waves. Binding energy emerges from geometric interference and resonance, not from "glue" particles. Key Innovations in v1.9: 1. Derivation from 4 Constants: All binding energy predictions are calculated from 4 constants fitted only to the deuteron. No other free parameters are used. 2. Bessel Geometry: Nuclear "magic numbers" and shell structure arise naturally from the roots of spherical Bessel functions, $j_l(x_{ln})$, which define the resonant modes of the nuclear cavity. 3. Neutron Excess Correction: The final term $cos(\pi * (N-Z) / A^(1/3))$ resolves previous 3% deviations in heavy nuclei, achieving <0.3% error. 4. Unification: The same wave principle is extended to cosmology, proposing that black holes act as "Re-harmonization Reactors" (RHM). Results: The model achieves 99.7% agreement with experimental binding energies from AME2020 for nuclei from He-4 to Fe-56, including He-4, C-12, O-16, Ca-40, and Fe-56. This paper represents the complete micro-scale formulation of the

Zenodo (CERN European Organization for Nuclear Research)
Régie Autonome Multi Services D'Agadir (MA)
Affordable and clean energy
Openalex Percentile: Top 13%
Cold Fusion and Nuclear Reactions
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