An Emergence of a Quantum World in a Self-Organized Vacuum—A Possible Scenario

Abstract

We have explored a model of vacuum self-organization based on dissipative dynamics and recurrent self-interactions. The initial state of the vacuum is assumed as self-interacting vacuum dust. The medium is dispersive and resembles dark-energy vacuum as described by general relativity. Beside selfdiffusion, vacuum dust endowed with self-attraction, resembling Newton's gravity. We explored what would happen with this medium when the strength of self-gravitation progressively increases. We observed a cascade of phase transitions. First transition occurs when self-attraction reaches the point when it can balance self-diffusion. A vortex-cellular structure emerges. Vortexes operate as self-sustained oscillators and tend to synchronize their dynamics. They form a synchronized network that possesses a universal time scale and, after zooming out, its structure acquires a form of fiber-bundle structure of electromagnetic field. With increasing self-gravitation strength, the system experiences another phase transition. The fiber-bundle structure becomes resembling that of weak nuclear field. Vacuum cells acquire spinorial dynamics. Electric charges emerge. When synchronized, the weakly interacting cells create lepton-like molecules. Oscillating charges in spinorial cells give a birth to current loops, which magnetic moment linked to the particle spin. During the next phase transition, the cell dynamics experiences another topological transformation, which is accompanied by creation of three color charges. The acquired fiber-bundle structure form resembles that of strong nuclear field. Synchronized strongly interacting vacuum cells create quark-like particles that carry color charges. We associate their complex synchronization patterns with particle flavors. We also explored statistical distributions of vacuum cells as functions of self-gravitation strength. We found that the distribution spectrum is essentially discrete, and the vacuum cells group around the states that we call super-attractive. Discrete cell distribution implies charge quantization. Synchronization transforms initial Boltzmannlike distribution into quantum-like distributions. During phase transitions, cell distributions experience transformations that can be encoded in the

Time Crystals, Their Networks, and Self-Organized Vacuum

“…The graph links are "weighted" by the phase difference Δ𝜑𝜑 (in the process of link evolution) or 𝜓𝜓 = ∆𝜑𝜑 ∞ (after relaxation) and can themselves be considered self-organized systems. We will model their dynamics using the Adler equation [19], which we have adapted [15] to the formalism of iterated maps:…”

“…Their struggle is accompanied by positive feedback: the more oscillators operate in a given mode, the greater they attract other oscillators to this mode. Let us see how this changes the probability distribution 𝑤𝑤 ℰ (see also [15]) given by formula (5).…”

“…We will model vacuum (see also [15]) based on the following assumptions. Vacuum is dust whose particles interact with each other.…”

“…Below, we will use six types of spinons (Figure 17) (see also [15]). We will discriminate them by the flavors of their bonds (links) and the matter/antimatter nature of their vortices.…”

“…We will use this as natural selection. Some ideas and results relevant to this study (but without mentioning time crystals) were published by the author in [15] and a few preprints.…”