Symmetry and Asymmetry in Nature: From Quantum Physics to the Universe

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (30 September 2024) | Viewed by 6336

Special Issue Editors


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Guest Editor
St. Petersburg B. P. Konstantinov Nuclear Physics Institute, NRC Kurchatov Institute, Leningrad District, Gatchina 188300, Russia
Interests: quantum mechanics; superfluidity; Bose-Einstein condensate; quantum ether; quaternion algebra of physical fields; edge of chaos; neurodynamics; consciousness
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Guest Editor
Institute for Flow in Additively Manufactured Porous Media (ISAPS), Heilbronn University, Max-Planck-Straße 39, D-74081 Heilbronn, Germany
Interests: Noether’s Theorem; analogies between fluid flow and quantum theory; fluid mechanics; analogies between fluid and dislocation dynamics; thermo-fluid dynamics; variational calculus; mathematical modeling; potential fields; non-equilibrium thermodynamics; discontinuous phenomena
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Symmetry and its breaking are important components in the scientific knowledge of nature. Their identification and classification and the description of their manifestation are some of the paths of knowledge in any scientific discipline, from physics, chemistry, and biology up to physiology.

The first to try and apply the laws of symmetry to the knowledge of nature were, perhaps, Ancient Greek naturalist philosophers. Plato's philosophy was based on the belief that there is an absolute truth that can be achieved through intelligent thinking. He expounded the Pythagorean doctrine of regular polyhedra, which, thereafter, became known as Platonic solids. Plato associated these bodies with the atom forms of the basic elements of nature. What does this represent but a desire to apply the laws of symmetry to the knowledge of nature?

On the other hand, we know that time is a fleeting, elusive phenomenon resulting from the permanent motion of matter in space. The Ancient Greek philosopher Zeno of Elea was devoted to considering this phenomenon and proposed a series of paradoxes, opening its fundamental nature. Surprisingly, we often ignore Zeno's paradoxes when computing infinitesimals. As a result, we are faced with singularities which we try to heroically overcome.

At present, we know that baryonic matter exists and makes constant movements in 3D space (x, y, z). We can define the geometrical parameters (t, x, y, z) pointing to each position at each moment of a material body using 4D spacetime. A material body has an inertial mass, m. Consequently, one can define the dynamical variables: energy and three momentum components. It turns out that both spaces—geometrical space (time and space) and dynamical space (energy and momentum—are connected to each other through the continuous symmetry of a physical system by the conservation laws of energy and the momentum. To put it simply, the Noether theorem in its most general formulation states: "If a physical system has continuous symmetry, then there will be corresponding quantities in it that retain their values over time". This is true for both classical and quantum systems. In the latter case, energy and the momenta accurate for the Planck constant are equal to de Broglie's frequency and the wave numbers of the particle under consideration.

It should be noted that along with matter there is antimatter. A law of symmetry acts between these two antipodes: CPT symmetry. According to it, the behavior of any physical system, including the entire Universe, should not change with the simultaneous replacement of all particles with antiparticles (a change of charge to the opposite), an inversion of parity, and time.

But the above picture is only a small part of a complete pattern weaved into the whole Universe. Baryonic matter is seen only as a fleeting foam against a vast ocean of dark matter and dark energy. We do not know what it is. There are vague guesses that this dark matter/energy appears to be a superfluid Bose–Einstein condensate. Because of Meissner's pushing out effect, any interactions with this dark entity are doomed to fail. Nevertheless, scientists have not given up trying to understand this dark essence. The laws of symmetry play a leading role in this cognition.

Symmetry breaking gives a series of problems arising at the phase transition from one phase state of matter to the other. The transition is accompanied by a change in the symmetry of matter. Near the transition point, such amazing phenomena are observed as the lifetime and correlation lengths of fluctuations tend to infinity. An example of the phase transition is the lambda point (about 2.17 K), below which liquid helium (helium I) goes into a state of superfluidity (helium II). In this case, a new state, the Bose–Einstein condensate, arises. Another example is the bifurcation point, above which Faraday waves appear when shaking the fluid poured in a bath. Near this point, the surprising behavior of drops bouncing along the fluid is observed. These classical drops demonstrate behavior similar to quantum particles.

One more surprising manifestation of symmetry breaking occurs at the edge of chaos. The edge of chaos is an area where chaotic activity is too weak to reproduce high entropy, but still strong enough to generate complex self-sustained patterns via a nonlinear dynamical system. The edge of chaos borders a well-ordered region where the diversity of the reproduced patterns disappears. One can say that the edge of chaos is where life manifests itself to the fullest. We also note that the visible Universe evolving as a fleeting foam against a vast ocean of dark matter and dark energy manifests its life on the edge of chaos. Therefore, it is quite natural for scientists to compare the filamentous structure of the universe with the organization of the nervous tissue of the brain. There are many questions here: How do symmetries manifest themselves on the edge of chaos? Where does symmetry come from in a self-sustaining pattern if the latter is reproduced by chaos? Why are the self-sustained patterns robust?

Dr. Valeriy Sbitnev
Prof. Dr. Markus Scholle
Guest Editors

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Keywords

  • symmetry
  • supersymmetry
  • cosmological constant
  • string theory
  • rotating galaxies
  • gravitational waves
  • superfluid
  • electrodynamics
  • hydrodynamics
  • quantum physics
  • vortex
  • ripple
  • turbulence
  • viscosity
  • quantum ether
  • bifurcation
  • spiral waves
  • complexity
  • entropy
  • chaos
  • edge of chaos
  • quality
  • intermittency
  • interferometry
  • water
  • exclusion zone
  • hydrogen
  • Grotthuss mechanism
  • gap junctions
  • connexin
  • memristor
  • consciousness
  • brain
  • thalamus
  • hippocampus
  • neuron
  • epilepsy
  • seizure

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Published Papers (4 papers)

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Research

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30 pages, 371 KiB  
Article
Quantum Retarded Field Engine
by Asher Yahalom
Symmetry 2024, 16(9), 1109; https://doi.org/10.3390/sym16091109 - 26 Aug 2024
Cited by 2 | Viewed by 1418
Abstract
Recent efforts to conceptually design a technologically meaningful electromagnetic retarded engine indicated that this can only be done using the immense charge and current densities which exist in the atomic scale. However, this scale cannot be described by Newtonian physics, and only a [...] Read more.
Recent efforts to conceptually design a technologically meaningful electromagnetic retarded engine indicated that this can only be done using the immense charge and current densities which exist in the atomic scale. However, this scale cannot be described by Newtonian physics, and only a quantum description will suffice to describe the dynamics of an electron on this scale properly. Here we study the retarded field quantum engine and highlight the differences between the quantum and the classical retarded engines. It is emphasized that the constituents of the retarded engine studied in the current paper do not move in relativistic speeds, hence they are analyzed using un-relativistic classical mechanics and un-relativistic quantum mechanics (Schrödinger’s equations). The retardation effect is due to the finite propagation speed of the field and not the relativistic motion of the particles. Full article
12 pages, 288 KiB  
Article
Relativistic Formulation in Dual Minkowski Spacetime
by Timothy Ganesan
Symmetry 2024, 16(4), 482; https://doi.org/10.3390/sym16040482 - 16 Apr 2024
Viewed by 1311
Abstract
The objective of this work is to derive the structure of Minkowski spacetime using a Hermitian spin basis. This Hermitian spin basis is analogous to the Pauli spin basis. The derived Minkowski metric is then employed to obtain the corresponding Lorentz factors, potential [...] Read more.
The objective of this work is to derive the structure of Minkowski spacetime using a Hermitian spin basis. This Hermitian spin basis is analogous to the Pauli spin basis. The derived Minkowski metric is then employed to obtain the corresponding Lorentz factors, potential Lie algebra, effects on gamma matrices and complex representations of relativistic time dilation and length contraction. The main results, a discussion of the potential applications and future research directions are provided. Full article
26 pages, 368 KiB  
Article
Relativistic Free Schrödinger Equation for Massive Particles in Schwartz Distribution Spaces
by David Carfí
Symmetry 2023, 15(11), 1984; https://doi.org/10.3390/sym15111984 - 27 Oct 2023
Cited by 1 | Viewed by 1164
Abstract
In this work, we pose and solve, in tempered distribution spaces, an open problem proposed by Schrödinger in 1925. In particular, on the Schwartz distribution spaces, we define the linear continuous quantum operators associated with relativistic Hamiltonians of massive particles—particles with rest mass [...] Read more.
In this work, we pose and solve, in tempered distribution spaces, an open problem proposed by Schrödinger in 1925. In particular, on the Schwartz distribution spaces, we define the linear continuous quantum operators associated with relativistic Hamiltonians of massive particles—particles with rest mass different from 0 and evolving in the four-dimensional Minkowski vector space M4. In other words, upon the tempered distribution state-space S(M4,C), we have found the most natural way to introduce the free-particle relativistic Hamiltonian operator and its corresponding Schrödinger equation (together with its conjugate equation, standing for antiparticles). We have found the entire solution space of our relativistic linear continuous evolution equation by completely solving a division problem in tempered distribution space. We define the Hamiltonian (Schwartz diagonalizable) operator as the principal square root of a strictly positive, Schwartz diagonalizable second-order differential operator (linked with the “Klein–Gordon operator” on the tempered distribution space S4). The principal square root of a Schwartz nondefective operator is defined in a straightforward way—following the heuristic fashion of some classic and greatly efficient quantum theoretical approach—in the paper itself. Full article

Review

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20 pages, 2455 KiB  
Review
Origin of Life: A Symmetry-Breaking Physical Phase Transition
by Rainer Feistel
Symmetry 2024, 16(12), 1611; https://doi.org/10.3390/sym16121611 - 4 Dec 2024
Viewed by 1352
Abstract
The origin of life has previously been subject to numerous studies and hypotheses. Typically, related models focus on the emergence of chemical networks such as the RNA world or the Krebs energy cycle. Here, the onset of life is described as a symmetry-breaking [...] Read more.
The origin of life has previously been subject to numerous studies and hypotheses. Typically, related models focus on the emergence of chemical networks such as the RNA world or the Krebs energy cycle. Here, the onset of life is described as a symmetry-breaking kinetic phase transition. The novel symmetry of life is the arbitrariness of code that is fundamental to symbolic information processing, coining all forms of life from the very beginning. Symbols evolved from non-symbolic, structural information of the inanimate physical world. The responsible transition process was discovered a century ago in behavioural biology, regarded as ‘ritualisation’. The physical properties of this transition include neutral Lyapunov stability and critical fluctuations in the associated Goldstone modes. As a conceptual model, a hypothetical simple molecular ritualisation process is suggested, along with the emergent semiotics of symbolic information processing. Full article
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