TITLE:
Tripole Model for the Electron
AUTHORS:
Hiroaki Kakinuma
KEYWORDS:
Electron Structure, Confinement Force, Electric Dipole, Planck Charge, Planck Vacuum, g-Factor, Magnetic Flux Quantum, Two-Turn Loop, Zitterbewegung, Electric Dipole Moment, Multipole Lepton Concept, Neutrino Structure
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.12 No.2,
April
24,
2026
ABSTRACT: A model for the structure of the electron is proposed, in which the electron is composed of electric tripole, i.e., a +1 charge at the center and two −1 charges circulating around it and the Planck charge
q
p
is applied to these charges. The confinement force for the outer charges, which has been the essential issue in constructing electron models, is Coulomb attraction in this model. Calculation of the associated energies shows that the tripole structure is stable. The intrinsic magnetic moment corresponding to the Bohr magneton
μ
B
is formulated from the loop current of the two circulating charges and by converting
q
p
to
e
by a scaling factor
α
, where
α
is the fine-structure constant. In this formulation, it is shown that the electron
g
e
factor (=2) in the
μ
B
is inherently included in the tripole model without artificially introducing it. Also, it is shown that the associated magnetic flux
Φ
0
generated by the loop current is equivalent to the magnetic flux quantum. Thus the tripole electron model naturally provides the quantized electric charge and the magnetic flux quantum in a self-consistent manner. An expression of the electron rest mass is derived from the relativistic energy-mass relation using the total energy of the internal and radial electrostatic energies and the magnetic energy, and the expression proves to be the same as the conventional expression deriving the classical electron radius. Furthermore, the multipole lepton concept, a wider concept including the tripole electron model, is presented, in which low energy leptons are composed of multiple electric poles originated from the dipoles existing in the Planck vacuum. Some specific processes associated with the electron can be elucidated and possible structures of neutrinos are proposed based on this concept.