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1/f Fluctuations on a Chain of Causal Relationships (Ⅱ); Computer Simulations

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Computer simulations are used to test how the branching process model is available to discuss the 1⁄f problem with the equations described in my previous paper, where a particle may branch into several particles, be absorbed, or be observed by a detector along a chain of causal relationships. In this paper, it is assumed that exactly two particles are produced by a branching process. The simulations show that the power spectrum of a series formed by the time intervals between successive particle detections is characterized by a 1⁄f distribution over a wide range of frequencies (more than eight decades). It is also discussed that the familiar 1⁄f fluctuations are strongly related to a chain of causal relationships in a natural phenomenon, reminiscent of the law of karma in Buddhism.

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Takayuki Kobayashi

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https://doi.org/10.31219/osf.io/3b6qy

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1/f noise

model

simulation

1/f fluctuations

spectrum

causal relationship

branching process

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2021

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Model of 1/f Noise

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://osf.io/zh35v

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Takayuki Kobayashi

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2021-01-06

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Model of 1/f Noise

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Center for Open Science

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1/f Fluctuations on a Chain of Causal Relationships (Ⅱ); Computer Simulations

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Takayuki Kobayashi

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2024-06-17

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