An electron is usually assumed to be either a point particle or a Planck length vibrating string which is virtually a point particle. While these models work well for some mathematical analysis, there are also numerous difficulties. For example, renormalization is often required when the electron’s size becomes part of the calculation. This implies that a rigorous extension of the starting assumptions gives infinity – the wrong answer. Also, if an electron has a radius equal to or less than Planck length, the energy in the electron’s electric field would exceed the electron’s measured energy by a factor of at least 1020 times . The small size also makes it impossible to explain spin as physical angular momentum.

       Collision experiments have been interpreted as implying the radius of an electron must be less than 10-18 m. On the other hand, the very successful Dirac equation implies that an isolated electron has a radius on the order of its reduced Compton wavelength which is about 10-13 m. I have proposed a wave-based model of an electron (see link below) that has a radius in isolation equal to the electron’s reduced Compton wavelength but reduces its wavelength (radius) in energetic collisions. This is one example of an electron model which permits an isolated electron to have a relatively large radius. In your opinion, are electrons and other fundamental particles virtually point particles or do they have size larger than Planck length? Do they have internal structure that will eventually permit their physical properties to be calculated and conceptually understood?

http://onlyspacetime.com/QM-Foundation.pdf

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