Una interpretaci\'on f\'isica de la constante de Planck

TL;DR

This paper proposes a physical interpretation of the Planck constant by modeling elementary particles as interacting with a stochastic background field, deriving quantum principles and equations without observer dependence.

Contribution

It introduces a new interpretation linking the Planck constant to particle-background interactions, restoring objectivity to quantum mechanics.

Findings

The standard deviation of particle-background interaction equals Planck's constant.

Derivation of the Schrödinger equation from the proposed model.

Recovery of the uncertainty principle within the new framework.

Abstract

According to the commonly accepted interpretation of Quantum Mechanics, it is only possible to talk about the existence of elementary particles when they are detected by an experiment or by a classical measurement device. This has led to distortions with regard to the objective existence of reality, since it would be necessary an observer to materialize the elementary particle. This issue is solved when the elementary particle is placed in permanent interaction with the rest of the universe, so its existence would not depend on any intelligent observer and thus the objective range of elementary particles would be recovered. This article explores the interaction between elementary particles and a background action field of stochastic character and it is also determined that the standard deviation of the particle-background field interaction is essentially the Planck constant, since the expressions of the energy according to the Planck postulate and the momentum according to the Louis de Broglie thesis follow in a natural way. In addition, the expression for the wave function of a free particle is obtained from the solution of the integral equation that relates the momentum and the energy with the wave vector and the angular frequency of a Gaussian distribution. Also, the Schr\"odinger equation is deduced from the expression for the wave function of an elementary particle in a potential field. Finally, the uncertainty principle is obtained. The theory presented in this article rescues the objective nature of Quantum Mechanics which implies that elementary particles exist independently of observers since the classical measurement device in this theory, introduced by the authors, is the own universe.