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[Probability of disturbance of Poisson statistics in radioactive decay type processes].

A A Kirillov, K I Zenchenko

Published Sep 1, 2001• 2 citations
OpenAlex

Abstract

The phenomenon of regular dynamics of fine structure of sampling distributions in processes of radioactive decay type is discussed. The time dependence of the probability of their similarity indicates that the process measured is nonstationary. The most natural explanation for the disturbance of stationarity is the influence of gauging equipment, which in principle cannot be avoided completely. However, the universality of the effect and the presence of the correlation of the fine structure in independent synchronous processes leads one to suggest the existence of some global source. A mechanism of the generation of fine structure as a result of the influence of nontrivial topology of space on the decay process is proposed.

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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.

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[Discrete macroscopic fluctuations in processes of various nature].

S E Shnol', Udal'tsova Nv, Bodrova Nb +1 more

The data of 30-year investigations of macroscopic fluctuations are generalized in this review. The results of measuring processes of different nature (from biochemical reactions to radioactive decay) fluctuate. They are presented by certain discrete values. The discreteness of corresponding spectra of states can be probably explained by both pure mathematical causes and cosmophysical factors. The fluctuation amplitude and the shape of the spectrum of the states of objects with different nature depend on the universal external cosmophysical factors. General problems arising in connection with the analysis of the "scatter in the results" and "nonreproducibility of measurements" are discussed.

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The phenomenon of regular dynamics of fine structure of sampling distributions in processes of radioactive decay type is discussed. The time dependence of the probability of their similarity indicates that the process measured is nonstationary. The most natural explanation for the disturbance of stationarity is the influence of gauging equipment, which in principle cannot be avoided completely. However, the universality of the effect and the presence of the correlation of the fine structure in independent synchronous processes leads one to suggest the existence of some global source. A mechanism of the generation of fine structure as a result of the influence of nontrivial topology of space on the decay process is proposed.
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.
An explanation of the appearance of the reproducible fine structure of the histograms corresponding to different processes from simple chemical reactions to radioactive decays is developed. Earlier this explanation was reduced to extremely strong influence of small changes between energy levels of a quantum system under study and its environment on the transition probability of the system (chemical reaction, radioactive decay, e.t.c.) from the system last quantum state to final result of the studied process. In the present paper it is supposed that the main factors determining this probability is the periodical or quasi-periodical low frequency changes of local gravitational field leading to corresponding changes of the system mass (the quantum transition probability depends exponentially on the latter). This approach seems to able to propose non-contradictory explanation of many manifestations of macroscopic fluctuation.
This project presents a conceptual and mathematical hypothesis concerning the apparent randomness of radioactive decay. While current nuclear physics models describe decay as a fundamentally stochastic and random process with a constant decay rate, this work explores the possibility that the randomness may come from rapidly fluctuating internal nuclear states that are not directly obsercable by measurement. The central idea is that the effective decay constant measured experimentally represents a time-averaged quantity over a distribution of internal configurations, associated with slightly different decay probabilities. In this framework, radioactive decay remains statistically exponential at observable timescales, while allowing for hidden internal dynamics consistent with established quantum mechanical principles. My work does not claim experimental verification. Instead, it aims to outline a phenomenological structure compatible with known decay laws and to identify conditions under which small, systematic deviations might arise under perturbations.
We propose a structural account of why systems across all scales — from radioactive atoms to ecosystems and social orders — decay, tip or break down. Instead of treating probability and metastability as primitive features, the paper shows how they emerge naturally when a system is understood as a loop that almost, but not perfectly, closes. A small intrinsic drift in such non-orientable loops produces exponential decay, spontaneous breakdown, and the characteristic “waiting-time” statistics found in both quantum physics and complex systems. Using only minimal assumptions, the paper links: spontaneous quantum decay → to drift in nearly closed loops, metastability → to how much closure margin a system has left, tipping points in chaos → to the same structural condition as half-life laws, entropy → to a universal bias that keeps loops from perfect closure. The result is a unified conceptual picture in which stability, probability and breakdown follow from one and dersame structural principle: reality is built from loops that hold for a while — and then open.
The data of 30-year investigations of macroscopic fluctuations are generalized in this review. The results of measuring processes of different nature (from biochemical reactions to radioactive decay) fluctuate. They are presented by certain discrete values. The discreteness of corresponding spectra of states can be probably explained by both pure mathematical causes and cosmophysical factors. The fluctuation amplitude and the shape of the spectrum of the states of objects with different nature depend on the universal external cosmophysical factors. General problems arising in connection with the analysis of the "scatter in the results" and "nonreproducibility of measurements" are discussed.