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September 12, 2026Quantum ReportsOpen Access

Coherent Oscillations of Protons in Hydrogen-Loaded Metals

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Authors

GMG. Modanese

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Overview

Theoretical analysis reveals coherent proton oscillation states in hydrogen-loaded cubic metals, suggesting a potential mechanism for low-energy electron capture and neutron generation.

Key Points

  • To examine the conditions under which protons form robust coherent oscillation states in hydrogen-loaded cubic metals and determine whether their excitation can enable electron capture.
  • Carried out analytical calculations of large proton ensembles within a cubic crystal lattice using the rotating-wave approximation.
  • Performed numerical simulations for small proton numbers beyond the rotating-wave approximation to incorporate electric-field dissipation terms.
  • Applied a simplified interacting-qubit model to evaluate collective excitation energies.
  • Identified proton coherent states oscillating at characteristic frequencies of 10¹³–10¹⁴ Hz phase-locked with trapped high-frequency electric fields.
  • Estimated the coherent ground state energy gap at a fraction of an electronvolt per particle, demonstrating stability against thermal fluctuations.
  • Demonstrated collective transition energies exceeding single-oscillator spacing in an interacting-qubit framework, offering an alternative mechanism for slow neutron generation via electron capture.

Cite This Study

G. Modanese (2026) studied this question.

synapsesocial.com/papers/6aa51e69327956e4761f8604https://doi.org/10.3390/quantum8030095
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