Abstract

Several experimental groups reported the evidence of periodic modulations of nuclear decay constants which amplitudes are of the order $${{10}^{{ - 3}}}$$ and periods of one year, 24 h or about one month. We argue that such deviations from radioactive decay law can be described in nonlinear quantum mechanics framework, in which decay process obeys to nonlinear Shrodinger equation with Doebner–Goldin terms. Possible corrections to Hamiltonian of quantum system interaction with gravitation field considered, it’s shown that they correspond to some emergent gravity theories, in particular, bilocal field model. It’s shown that proposed model describes decay parameter variations which agree with experimental results for Po-214 $$\alpha $$ -decay life-time oscillations.

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