On an electrodynamic origin of quantum fluctuations
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ORIGINAL PAPER
On an electrodynamic origin of quantum fluctuations Álvaro G. López
Received: 30 January 2020 / Accepted: 29 August 2020 © Springer Nature B.V. 2020
Abstract We use the Liénard–Wiechert potential to show that very violent fluctuations are experienced by an electromagnetic charged extended particle when it is perturbed from its rest state. The feedback interaction of Coulombian and radiative fields among different charged parts of the particle makes uniform motion unstable. Then, we show that radiative fields and radiation reaction produce dissipative and antidamping effects, triggering a self-oscillation. Finally, we compute the self-potential, which in addition to rest and kinetic energy, gives rise to a new contribution that shares features with the quantum potential. We suggest that this contribution to self-energy produces a symmetry breaking of the Lorentz group, bridging classical electromagnetism and quantum mechanics. Keywords Nonlinear dynamics · Self-oscillation · Quantum fluctuations · Electrodynamics · Relativity
1 Introduction It was shown in the mid-sixties that a dynamical theory of quantum mechanics can be provided based on a process of conservative diffusion [1]. The theory of stochastic mechanics is a monumental mathematical Á. G. López (B) Nonlinear Dynamics, Chaos and Complex Systems Group Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n, 28933 Móstoles, Madrid, Spain e-mail: [email protected]
achievement that has been carefully and slowly carried out along two decades with the best of the rigors and mathematical intuition [2]. However, as far as the authors are concerned, the grandeur of this theoretical effort is that it proposes a kinematic description of the dynamics of quantum particles, based on the theory of stochastic processes [3]. Just as Bohmian mechanics [4,5], it tries to offer a geometrical picture of the trajectory of a quantum particle, which would be so very welcomed by many physicists. In the end, establishing a link between dynamical forces and kinematics is at the core of Newton’s revolutionary work [6]. Perhaps, the absence of geometrical intuition in this traditional sense, during the development of the quantum mechanical formalism, has hindered the understanding of the underlying physical mechanism that leads to quantum fluctuations. In turn, it has condemned the physicist to a systematic titanic effort of mathematical engineering, designing ever-increasing complicated theoretical frameworks. Despite providing a very refined explanation of many experimental data, which is the main purpose of any physical theory, needless to say, these frameworks entail a certain degree of obscurantism and a lack of understanding. Concerning comprehension only, quantum mechanics constitutes a paradigm of these kinds of paradoxical theories, which imply that the more time that it is dedicated to their study, the less clear that the physical picture of nature becomes. As it has been pointed out by Bohm, this might be a consequence of renouncing to models
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