A Hidden Variable Model of Unstable Quantum States

We discuss the old problem of atom stability and atomic spontaneous emission, which was studied from Einstein introducing the idea of photon which was exploited by Bohr for its subsequent atomic model and its postulate of atomic quantum jumps. We expose then briefly the first historical model of unstable particles elaborated from Gamow which was based on the hypothesis of a constant lifetime describing the decaying process of unstable particles; we discuss then the relevance of this topic for our critique to the existence of hypothetical individual stationary atomic states. We propose a dynamic deterministic alternative approach to quantum unstable states and we suggest a possible alternative justification of Bohr formula of quantized energy spectra of the hydrogen atom. We assume that each atom is an open state that it is continuously radiating and interacting with the other accelerated atoms and that the stationary atomic spectra are an emergent effect caused by the equilibrium with the real electromagnetic pilot wave. We suggest consequently that the hydrogen gas is, with respect to each atom, an effective space time dependent polarized medium with a hidden variable light speed. We generalize the classical formula of spontaneous emission of Einstein and that one of Gamow substituting the standard light speed with a space dependent one. Finally we attempt to extend this approach to every atomic states and we propose a dynamical model of stationary quantum states that could allow to explain atomic stability and deduce dynamically the Bohr formula.