Multidimensional Chaotic Dynamics and Entropies

Eva Déli,Colin James III,James F Peters,Arturo Tozzi

doi:10.36959/863/755

Abstract

The possible presence of further dimensions hidden in our three-dimensional-plus time world might help to elucidate countless physical and biological systems’ behaviors, from quantum entanglement to brain function. Nevertheless, suggestions concerning multidimensional arrangement of physical and biological systems do not deserve the role of scientific claims, unless the suggested additional dimensions can be verified via empirically testable hypotheses and experimental apparatus. Here we suggest that the widespread nonlinear dynamics and chaotic behavior of physical and biological collective systems might mirror further dimensions hidden in our world.

Highlights

In brane cosmology, strings and branes theories are based on the hypothetical existence of hidden dimensions surrounding us [1,2,3]
We introduce a multidimensional approach that offers an explanation of some aspects of dynamic systems theory, in particular Hopf bifurcations, in terms of hidden dimensions, and a method in order to evaluate the consequences of this strategy
Different physical and biological systems display nonlinear features. This form of dynamics is frequently studied through logistic maps equipped with bifurcations, which intervals are dictated by the Feigenbaum constants [19]

Summary

Introduction

Strings and branes theories are based on the hypothetical existence of hidden dimensions surrounding us [1,2,3]. Because quantum entanglement occurs between particles light-years away from each other, this means that, if their disentanglement occurs onto a further hidden dimension, the extra-dimensional manifolds must be very large and must influence our three-dimensional-plus time (space-time) Universe. This observation points towards elusive higher dimensions surrounding us, able to intersect our space-time world and to interact with it.

Objectives

Methods

Results

Conclusion