The Classical Electron Radius, the Electron Compton Wavelength and the Running Fine Structure Constant
Paolo Christillin
Paolo Christillin, Department of Physics, Università di Pisa, Italy,
Manuscript received on 18 October 2025 | First Revised Manuscript received on 21 October 2025 | Second Revised Manuscript received on 16 March 2026 | Manuscript Accepted on 15 April 2026 | Manuscript published on 30 April 2026 | PP: 1-2 | Volume-6 Issue-1, April 2026 | Retrieval Number: 100.1/ijap.A106806010426 | DOI: 10.54105/ijap.A1068.06010426
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© The Authors. Published by Lattice Science Publication (LSP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The fine structure constant variation as a function of the electromagnetic interaction strength is investigated and shown to evolve from the canonical standard 1/137 to 1 at distances of the order of the classical electron radius, i.e. at a typical strong interaction value. This confirms the outcome at Planck scales, but it happens even later in the Universe’s evolution, closer to the present time, although it will also be experimentally unattainable. The result is simply derived by imposing quantum effects, i.e. the Compton wavelength at the classical electron radius, in analogy with the procedure by which the corresponding Compton wavelength constrains the Schwarzschild radius.
Keywords: Compton Wavelength, Classical Electron Radius.
Scope of the Article: Applied Physics