Abstract
At its most basic level physics starts with space-time topology and geometry. On the other hand topology’s and geometry’s simplest and most basic elements are random Cantor sets. It follows then that nonlinear dynamics i.e. deterministic chaos and fractal geometry is the best mathematical theory to apply to the problems of high energy particle physics and cosmology. In the present work we give a short survey of some recent achievements of applying nonlinear dynamics to notoriously difficult subjects such as quantum entanglement as well as the origin and true nature of dark energy, negative absolute temperature and the fractal meaning of the constancy of the speed of light.
Highlights
On the other hand topology’s and geometry’s simplest and most basic elements are random Cantor sets. It follows that nonlinear dynamics i.e. deterministic chaos and fractal geometry is the best mathematical theory to apply to the problems of high energy particle physics and cosmology
The closing report of a notable Nobel conference [1] held in Stockholm in 1984 contained the remarkable and at the time prophetic statement about the role which the science of nonlinear dynamics, chaos and fractals is expected to play in quantum physics
By comparison high energy and quantum physics was slow to utilize the tremendous possibilities offered by deterministic chaos and fractal geometry [2,10,11,13]
Summary
The closing report of a notable Nobel conference [1] held in Stockholm in 1984 contained the remarkable and at the time prophetic statement about the role which the science of nonlinear dynamics, chaos and fractals is expected to play in quantum physics. It was stated in clear terms that nonlinear dynamics, chaos and fractals will “invade” the foundations of quantum physics [1,2]. In the present work we will give a short summary of some truly exciting developments confirming the Nobel conference prophecy in quantum physics and in cosmology and in resolving the mystery of the so called missing dark energy of the cosmos [3,4] as well as the fractal meaning of the constancy of the speed of light, negative gravity and negative absolute temperature in Kelvin scale [3,4,5,6]
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