On Geometric Structure of Point Particles

Abstract

I propose, as geometric structure in an internal space, a helical field that is responsible for intrinsic properties of point particles, particularly, electron. For the novel theoretical development, plasma astrophysical analogy is made extensively. Transition between our conventional space and the infinitesimal space is considered in an operational manner. It is shown that rotational eigenvalue equation satisfied by the vector field equivalent to Gromeka-Beltrami flow provides a coordinate-rotor that captures complex orthogonality between the internal coordinate space and isotopic, angular momentum space. Self-consistent normalization of rotational coordinate owing to the rotor is compared to renormalization of electric charge. It is also found that chiral asymmetry of the helical eigenflows can be reflected in electroweak symmetry breaking. The theoretical prototype suggests possible geometrical features of a fundamental framework ruling matters and forces with higher dimensions.

This version of the article has been accepted for publication, after peer review (when applicable) but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s10773-024-05717-5

References in corpus (16)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• Cosmological Magnetic Fields: Their Generation, Evolution and Observation
• QCD forces and heavy quark bound states
• Interpenetrating plasma shells: near-equipartition magnetic field generation and non-thermal particle acceleration
• On the Unification Problem in Physics
• A Coherent Interpretation of the Form Factors of the Nucleon in Terms of a Pion Cloud and Constituent Quarks
• Neutrino physics with the PTOLEMY project: active neutrino properties and the light sterile case
• Ultrahigh Energy Cosmic Rays
• Determining the neutrino mass with Cyclotron Radiation Emission Spectroscopy - Project 8
• Search for squarks and gluinos in final states with jets and missing transverse momentum using 139 fb${}^{-1}$ of $\sqrt{s}$ =13 TeV $pp$ collision data with the ATLAS detector
• Search for magnetic monopoles and stable high-electric-charge objects in 13 TeV proton-proton collisions with the ATLAS detector
• Signatures of Relativistic Helical Motion in the Rotation Measures of AGN Jets
• Ultra-High Energy Cosmic-Ray Acceleration in the Jet of Centaurus A