Axiomatic quantum mechanics and radioactive decay

Ronald W. Gurney, E. U. Condon

V. D. Rusov, S. Cht. Mavrodiev, M. Deliyergiyev

In the framework of Bohmian quantum mechanics supplemented with the Chetaev theorem on stable trajectories in dynamics in the presence of dissipative forces we have shown the possibility of the classical (without tunneling) universal description of radioactive decay of heavy nuclei, in which under certain conditions so called noise-induced transition is generated or, in other words, the stochastic channel of alpha decay, cluster radioactivity and spontaneous fission conditioned by the Kramers diffusion mechanism. Based on the ENSDF database we have found the parametrized solutions of the Kramers equation of Langevin type by Alexandrov dynamic auto-regularization method (FORTRAN program REGN-Dubna). These solutions describe with high-accuracy the dependence of the half-life (decay probability) of heavy radioactive nuclei on total kinetic energy of daughter decay products. The verification of inverse problem solution in the framework of the universal Kramers description of the alpha decay, cluster radioactivity and spontaneous fission, which was based on the newest experimental data of alpha-decay of even-even super heavy nuclei (Z=114, 116, 118) have shown the good coincidence of the experimental and theoretical half-life depend upon of alpha-decay energy.

Victor A. Panchelyuga, M. S. Panchelyuga, Olga Yu. Seraya

The evolution of views on the possibility of external influence on the process of radioactive decay is briefly presented. Such an effect can lead to the appearance of periods in the time series of the radioactive decay rate fluctuations, which have been the subject of intensive study in the last decade. Two mechanisms for identifying periods are considered: the study of deviations from the theoretical curve of the radioactive decay law and the study of the properties of fluctuations. It is shown that the latter method leads to a universal spectrum of periods observed not only in the time series of the radioactive decay rate fluctuations, but also in the time series of fluctuations of processes of various nature. The main object of our study are periods in the radioactive decay rate fluctuations. The presence of such periods suggests the possibility of external influence on the process of radioactive decay. Therefore, we briefly consider the evolution of views on the possibility of such an effect. To do this, we distinguish several stages. The division into stages is only partially historical, but, mainly, each stage characterizes a certain ideas that is implemented in it.

Tapan Kumar Das

John Christian William McKinley

This paper states a narrow interpretive claim about stable and radioactive bound configurations under the matter-side reading of the Timeless Light Model. It introduces no new equations and alters no predictive content of atomic physics, nuclear physics, or quantum mechanics. The claim is that stable and radioactive bound configurations are two presentations of the same structural reading: each is timeless lawful structure in force, registered in spacetime when called on, with registrations governed by lawful content. Stable configurations have no admissible spontaneous decay channel under the operative description; nothing registers, and nothing accumulates. Radioactive configurations have at least one decay channel in their lawful content; channel realizations register along the worldline at rate λ fixed by content. The paper argues that neither stable nor radioactive matter undergoes substance-aging. Stable atoms do not grow older as degraded versions of themselves, and radioactive atoms do not age toward decay. A radioactive nucleus that has not yet realized its decay channel retains the same decay probability per unit proper time in the experimentally dominant exponential regime. Bulk decay curves describe cumulative counting of channel realizations across an ensemble, not individual atomic wear. The result is interpretive only. It preserves the standard exponential-decay law, the standard treatment of stationary states, and the standard predictive machinery of atomic and nuclear physics. Its contribution is ontological: stability and radioactivity are content-level distinctions, not different categories of being.

Stanley Gudder