Prime numbers and spontaneous neuron activity

TL;DR

This paper explores the hidden periodicity in prime numbers using logarithmic gaps and relates this phenomenon to spontaneous neuron activity and chaotic brain computations, highlighting the role of multiplicative noise.

Contribution

It demonstrates how logarithmic gaps reveal periodic components in primes and connects this to neural activity and chaos theory in the brain.

Findings

Logarithmic gaps uncover hidden periodicity in prime sequences.

Multiplicative noise transforms into additive noise via logarithmic gaps.

Relation established between prime number patterns and neural chaos phenomena.

Abstract

Logarithmic gaps have been used in order to find a periodic component of the sequence of prime numbers, hidden by a random noise (stochastic or chaotic). It is shown that multiplicative nature of the noise is the main reason for the successful application of the logarithmic gaps transforming the multiplicative noise into an additive one. A relation of this phenomenon to spontaneous neuron activity and to chaotic brain computations has been discussed.