The Elementary Quantum E_min and the Double-Slit Experiment: Single-Photon Interference as a Composite Transfer Process / Il quanto elementare E_min e l'esperimento della doppia fenditura

Previous work established that the ratio n_acts = E/E_min, where E_min = 6.62607015x10^-34 J is the elementary quantum of energy transfer, places on a single line of slope 1 electromagnetic radiation across 30 orders of magnitude (DOI: 10.5281/zenodo.20671071) and matter with atomic structure (DOI: 10.5281/zenodo.21279830). The present work applies the same quantity to the double-slit experiment in the single-photon regime. The photon employed in the first experiment with certified single photons (Grangier, Roger and Aspect, 1986; radiative cascade of calcium, lambda = 422.7 nm) corresponds to n_acts = 7.0923x10^14 elementary acts. The two experimental facts that define the experiment, the formation of the interference fringes and the invariably integral delivery of the energy at each detection, are read as properties of a transfer process composed of a very large number of identical elementary acts: during transit the process distributes itself in space and traverses both slits; at detection it completes as a unit, delivering the total energy at a single point. The constancy of c provides a causal reading of the fringe pattern: the bands are the map of the points of synchronous recomposition, their positions given by the synchrony condition, their intensity and shading by the partition of the paths between free transit and deflection at the slit edges. The corpuscular and undulatory behaviours correspond to the energetic and spatial faces of the same process, bound by the identity n_acts x lambda = c. The interpretation is declared as such and is empirically bound to the cited data; every numerical value is reproducible from published constants and published data. Version 2: technical clarifications on the experimental apparatus (Mach-Zehnder interferometer in the 1986 experiment; lithographic slits in modern single-photon setups) and dimensional closure of the identity with the reference frequency ν_0 = 1 Hz.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-24
DOI
https://doi.org/10.5281/zenodo.21508945
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

The Elementary Quantum E_min and the Double-Slit Experiment: Single-Photon Interference as a Composite Transfer Process / Il quanto elementare E_min e l'esperimento della doppia fenditura

Bruno Pantoli
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

The Elementary Quantum E_min and the Double-Slit Experiment: Single-Photon Interference as a Composite Transfer Process / Il quanto elementare E_min e l'esperimento della doppia fenditura

Bruno Pantoli
preprint en

Abstract

Previous work established that the ratio n_acts = E/E_min, where E_min = 6.62607015x10^-34 J is the elementary quantum of energy transfer, places on a single line of slope 1 electromagnetic radiation across 30 orders of magnitude (DOI: 10.5281/zenodo.20671071) and matter with atomic structure (DOI: 10.5281/zenodo.21279830). The present work applies the same quantity to the double-slit experiment in the single-photon regime. The photon employed in the first experiment with certified single photons (Grangier, Roger and Aspect, 1986; radiative cascade of calcium, lambda = 422.7 nm) corresponds to n_acts = 7.0923x10^14 elementary acts. The two experimental facts that define the experiment, the formation of the interference fringes and the invariably integral delivery of the energy at each detection, are read as properties of a transfer process composed of a very large number of identical elementary acts: during transit the process distributes itself in space and traverses both slits; at detection it completes as a unit, delivering the total energy at a single point. The constancy of c provides a causal reading of the fringe pattern: the bands are the map of the points of synchronous recomposition, their positions given by the synchrony condition, their intensity and shading by the partition of the paths between free transit and deflection at the slit edges. The corpuscular and undulatory behaviours correspond to the energetic and spatial faces of the same process, bound by the identity n_acts x lambda = c. The interpretation is declared as such and is empirically bound to the cited data; every numerical value is reproducible from published constants and published data. Version 2: technical clarifications on the experimental apparatus (Mach-Zehnder interferometer in the 1986 experiment; lithographic slits in modern single-photon setups) and dimensional closure of the identity with the reference frequency ν_0 = 1 Hz.

Zenodo (CERN European Organization for Nuclear Research)
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