The isolated electron: De Broglie's "hidden" thermodynamics, SU(2) Quantum Yang-Mills theory, and a strongly perturbed BPS monopole

Abstract

Based on a recent numerical simulation of the temporal evolution of a spherically perturbed BPS monopole, SU(2) Yang-Mills thermodynamics, Louis de Broglie's deliberations on the disparate Lorentz transformations of the frequency of an internal "clock" on one hand and the associated quantum energy on the other hand, and postulating that the electron is represented by a figure-eight shaped, self-intersecting center vortex loop in SU(2) Quantum Yang-Mills theory we estimate the spatial radius $R_0$ of this self-intersection region in terms of the electron's Compton wave length ${\lambda }_C$. This region, which is immersed into the confining phase, constitutes a blob of deconfining phase of temperature $T_0$ mildly above the critical temperature $T_c$ carrying a frequently perturbed BPS monopole (with a magnetic-electric dual interpretation of its charge w.r.t. U(1)$\subset$SU(2)). We also establish a quantitative relation between rest mass $m_0$ of the electron and SU(2) Yang-Mills scale $\Lambda$, which in turn is defined via $T_c$. Surprisingly, $R_0$ turns out to be comparable to the Bohr radius while the core size of the monopole matches ${\lambda }_C$, and the correction to the mass of the electron due to Coulomb energy is about 2\,\%.

arXiv comment15 pp, 3 figs, v2: mistake in estimating the core-size of monopole rectified and typos eliminated

References in corpus (14)

• Periodic Instantons with non-trivial Holonomy
• SU(2) Calorons and Magnetic Monopoles
• Exact T-duality between Calorons and Taub-NUT spaces
• Quantum weights of dyons and of instantons with non-trivial holonomy
• Effects of Radiation-Reaction in Relativistic Laser Acceleration
• Nonperturbative approach to Yang-Mills thermodynamics
• What does a strongly excited 't Hooft-Polyakov magnetic monopole do?
• Spin-Charge Separation is the Key to the High T_c Cuprates
• Resonant excitations of the 't Hooft-Polyakov monopole
• SU(2) Yang-Mills Theory: Waves, Particles, and Quantum Thermodynamics
• Massive loops in thermal SU(2) Yang-Mills theory: Radiative corrections to the pressure beyond two loops
• Yang-Mills thermodynamics at low temperature
• The isolated, uniformly moving electron: Selfintersecting SU(2) Yang-Mills center vortex loop and Louis de Broglie's hidden thermodynamics
• The hidden geometry of electromagnetism

Cited by in corpus (5)

• Axial Anomaly in Galaxies and the Dark Universe
• An SU(2) gauge principle for the Cosmic Microwave Background: Perspectives on the Dark Sector of the Cosmological Model
• Frequency-redshift relation of the Cosmic Microwave Background
• Electroweak parameters from mixed SU(2) Yang-Mills Thermodynamics
• SU(2) Quantum Yang-Mills Thermodynamics: Some Theory and Some Applications