The elementary quantum E_min beyond electromagnetic radiation: verification in matter and atomic structure
A previous work [1] established that n_acts = E/E_min, where E_min = 6.62607015×10⁻³⁴ J is the elementary quantum of energy transfer, produces a slope-1 line on a log-log plot across the full electromagnetic spectrum (30 orders of magnitude, 1 Hz to 2.5 PeV). The present work extends this verification to matter and atomic structure using data from CODATA, PDG, AME2020, NIST and LBNL XDB, across seven domains: rest energies of electron, proton and neutron; subatomic scales; hydrogen energy levels; atomic transitions; fine structure; helium and lithium; electron shells of sodium (Z=11), iron (Z=26) and uranium (Z=92, radioactive). Beyond the geometric coherence across approximately 50 orders of magnitude, this work establishes a criterion of empirical selectivity: for each domain, n_acts = E/E_min coincides with a physical quantity measured independently and published in the literature, from the speed of light to the Rydberg constant, from Ångström's H-alpha line (1853) to the fine-structure splitting of hydrogen. No other value of the divisor reproduces these coincidences. No additional parameters are introduced.
Authors
- Bruno Pantoli (ORCID: https://orcid.org/0009-0008-9806-9773)
Institutions
- Giuliani (Italy) (IT)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-06-30
- DOI
- https://doi.org/10.5281/zenodo.21064871
- Primary Topic
- Quantum and Classical Electrodynamics
- Type
- preprint