The Dirac Electron and Elementary
Interactions: The Gyromagnetic Factor,
Fine-Structure Constant,
and Gravitational Invariant:
Deviations from Whole Numbers
Jean Maruani
Abstract In previous papers, we revisited the Dirac equation and conjectured that
the electron can be viewed as a massless charge spinning at light speed, this internal
motion being responsible for the rest mass involved in external motions and
interactions. Implications of this concept on basic properties such as time, space,
electric charge, and magnetic moment were considered. The present paper investigates the deviations of the resulting gyromagnetic factor, fine-structure constant,
and gravitational invariant from their integer approximates, and their implication in
a better understanding of the electromagnetic, gravitational, and other interactions.
Keywords Dirac equation ⋅ Spin momentum ⋅ Magnetic moment
Matter antimatter ⋅ Wave beat ⋅ Zitterbewegung ⋅ Light velocity
Compton diameter ⋅ Planck units ⋅ Catalan numbers ⋅ Casimir force
Nuclear forces ⋅ Gyromagnetic factor ⋅ Fine-structure constant
Gravitational invariant ⋅ Quantum electrodynamics ⋅ General relativity
1 The Heuristic Road to the Dirac Equation
In previous papers [1–4], we revisited the Dirac equation and developed a model for
the electron, making conjectures about its rest mass, spin motion, effective size, and
electric charge. This led us to investigate universal constants related to this model.
In the present paper, after recalling specificities related to the Dirac equation, we
elaborate on the light shed by peculiarities of these constants on the relations
between the electromagnetic and gravitational interactions.
J. Maruani ( ✉ )
Laboratoire de Chimie Physique-Matière et Rayonnement,
CNRS & UPMC, 4 Place Jussieu, #32-42, 75005 Paris, France
e-mail: jean.maruani@upmc.fr
© Springer International Publishing AG, part of Springer Nature 2018
Y. A. Wang et al. (eds.), Concepts, Methods and Applications of Quantum Systems
in Chemistry and Physics, Progress in Theoretical Chemistry and Physics 31,
https://doi.org/10.1007/978-3-319-74582-4_19
361
Interactions: The Gyromagnetic Factor,
Fine-Structure Constant,
and Gravitational Invariant:
Deviations from Whole Numbers
Jean Maruani
Abstract In previous papers, we revisited the Dirac equation and conjectured that
the electron can be viewed as a massless charge spinning at light speed, this internal
motion being responsible for the rest mass involved in external motions and
interactions. Implications of this concept on basic properties such as time, space,
electric charge, and magnetic moment were considered. The present paper investigates the deviations of the resulting gyromagnetic factor, fine-structure constant,
and gravitational invariant from their integer approximates, and their implication in
a better understanding of the electromagnetic, gravitational, and other interactions.
Keywords Dirac equation ⋅ Spin momentum ⋅ Magnetic moment
Matter antimatter ⋅ Wave beat ⋅ Zitterbewegung ⋅ Light velocity
Compton diameter ⋅ Planck units ⋅ Catalan numbers ⋅ Casimir force
Nuclear forces ⋅ Gyromagnetic factor ⋅ Fine-structure constant
Gravitational invariant ⋅ Quantum electrodynamics ⋅ General relativity
1 The Heuristic Road to the Dirac Equation
In previous papers [1–4], we revisited the Dirac equation and developed a model for
the electron, making conjectures about its rest mass, spin motion, effective size, and
electric charge. This led us to investigate universal constants related to this model.
In the present paper, after recalling specificities related to the Dirac equation, we
elaborate on the light shed by peculiarities of these constants on the relations
between the electromagnetic and gravitational interactions.
J. Maruani ( ✉ )
Laboratoire de Chimie Physique-Matière et Rayonnement,
CNRS & UPMC, 4 Place Jussieu, #32-42, 75005 Paris, France
e-mail: jean.maruani@upmc.fr
© Springer International Publishing AG, part of Springer Nature 2018
Y. A. Wang et al. (eds.), Concepts, Methods and Applications of Quantum Systems
in Chemistry and Physics, Progress in Theoretical Chemistry and Physics 31,
https://doi.org/10.1007/978-3-319-74582-4_19
361