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 Shrödinger 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.

中文翻译：

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核衰变振荡和非线性量子动力学

摘要

几个实验小组报告了核衰变常数周期性调制的证据，其幅度为\（{{10} ^ {{-3}}} \，周期为一年，24小时或大约一个月。我们认为，这种与放射性衰变定律的偏差可以在非线性量子力学框架中描述，在该框架中，衰变过程服从带有Doebner-Goldin项的非线性Shrödinger方程。考虑了对与引力场相互作用的量子系统相互作用的哈密顿量的可能校正，结果表明它们对应于一些新兴的引力理论，特别是双局部场模型。结果表明，所提出的模型描述了与Po-214 \（\ alpha \）衰变寿命振荡的实验结果一致的衰减参数变化。