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Changes in the fine structure of stochastic distributions as a consequence of space-time fluctuations

2006/02/02 by S. E. Shnoll, Simon E. Shnoll, Shnoll, Simon E.
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #General Physics (physics.gen-ph) #Radioactive Decay and Measurement Techniques #Scientific Research and Discoveries #Space Physics (physics.space-ph) #physics.gen-ph #physics.space-ph

paper · pdf · doi:10.48550/arxiv.physics/0602017

11 pages, 51 references

arxiv created 2006/02/02 · openalex publication_date 2006/02/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Earlier we showed that the fine structure of the spectrum of amplitude variations in the results of measurements of the processes of different nature (in other words, the fine structure of the dispersion of results or the pattern of the corresponding histograms) is subject to macroscopic fluctuations, changing regularly with time. These changes indicate that the dispersion of results that remains after all artifacts are excluded inevitably accompanies any measurements and reflects very basic features of our world. In our research, we have come to the conclusion that this dispersion of results is the effect of space-time fluctuations, which, in their turn, are caused by the movement of the measured object in an anisotropic gravitational field. Among other things, this conclusion means that the examination of the detailed pattern of distributions obtained from the results of measurement of the dynamics of processes of different nature discovers laws, which cannot be revealed with traditional methods for the analysis of time series. These assertions are based on the results of long-term experimental investigations conducted for many decades. The major part of these results, starting with 1958, is published in Russian. The goal of this paper is to give a brief review of those results and provide corresponding references. The most general conclusion of our research is the evidence that the fine structure of stochastic distributions is not accidental. In other words, noncasual is the pattern of histograms plotted from a rather small number of the results of measurement of the dynamics of processes of different nature, from the biochemical reactions and noise in the gravitational antenna to the alpha-decay.

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