Working Paper Article Version 2 This version is not peer-reviewed

Period Doubling Phenomenon as the Origin of Electron Properties

Version 1 : Received: 6 June 2020 / Approved: 7 June 2020 / Online: 7 June 2020 (09:36:42 CEST)
Version 2 : Received: 13 August 2020 / Approved: 20 August 2020 / Online: 20 August 2020 (04:08:27 CEST)

How to cite: Lehto, A. Period Doubling Phenomenon as the Origin of Electron Properties. Preprints 2020, 2020060076 Lehto, A. Period Doubling Phenomenon as the Origin of Electron Properties. Preprints 2020, 2020060076


In the Standard Model of elementary particles, the rest mass, magnetic moment and electric charge of the electron are considered to be natural constants. In this article it is proposed that these properties can be calculated in a simple way from the corresponding Planck units using the well-known period doubling phenomenon in nonlinear dynamical systems. Periods corresponding to the values of the electron and positron properties belong to a subset of stable periods. The periodic structures of the rest energy and magnetic moment consist of three internal degrees of freedom, whereas the Coulomb energy of the electric charge consists of four. The number of period doublings for the elementary charge determines the value of the fine structure constant alpha.


period doubling; electron structure; elementary charge; electron magnetic moment; fine structure constant; Planck scale; Standard Model


Physical Sciences, Atomic and Molecular Physics

Comments (1)

Comment 1
Received: 20 August 2020
Commenter: Ari Lehto
Commenter's Conflict of Interests: Author
Comment: The abstract has been reformulated in order to emphasize the difference between the Standard Model and period doubling approaches. 'Standard Model' is included in the keywords. Otherwise the article is the same as before.
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