## 18 Citations

On the Dynamical Nature of Nonlinear Coupling of Logarithmic Quantum Wave Equation, Everett-Hirschman Entropy and Temperature

- Physics
- 2018

Abstract We study the dynamical behavior of the nonlinear coupling of a logarithmic quantum wave equation. Using the statistical mechanical arguments for a large class of many-body systems, this…

Logarithmic quantum wave equation with variable nonlinear coupling

- PhysicsJournal of Physics: Conference Series
- 2018

We study a possibility of a dynamical behavior of the nonlinear coupling in the quantum wave equation of a logarithmic type. In order to construct a viable model, this coupling is associated with…

Resolving cosmological singularity problem in logarithmic superfluid theory of physical vacuum

- PhysicsJournal of Physics: Conference Series
- 2020

A paradigm of the physical vacuum as a non-trivial quantum object, such as superfluid, opens an entirely new prospective upon origins and interpretations of Lorentz symmetry and spacetime, black…

Singularity-free model of electric charge in physical vacuum: non-zero spatial extent and mass generation

- Physics
- 2013

We propose a model of a spinless electrical charge as a self-consistent field configuration of the electromagnetic (EM) field interacting with a physical vacuum effectively described by the…

Schrödinger Equations with Logarithmic Self-Interactions: From Antilinear PT-Symmetry to the Nonlinear Coupling of Channels

- MathematicsSymmetry
- 2017

Two elementary single-channel versions of the nonlinear logarithmic Schrodinger model are outlined in which the complex self-interaction W ( ψ ( x ) , x ) is regularized via a deformation of the real line of x into a self-consistently constructed complex contour C, and the new role played by PT -symmetry is revealed.

Ring-like vortices in a logarithmic generalized Maxwell theory

- Physics, MathematicsEPL (Europhysics Letters)
- 2020

It is shown numerically that the complex scalar field solutions that generate minimum energy configurations have internal structures, which shows the interesting feature of the ring-like vortex.

Quantum Bose liquids with logarithmic nonlinearity: self-sustainability and emergence of spatial extent

- Physics
- 2011

The Gross–Pitaevskii (GP) equation is a long-wavelength approach widely used to describe the dilute Bose–Einstein condensates (BEC). However, in many physical situations, such as higher densities, it…

Stability and Metastability of Trapless Bose-Einstein Condensates and Quantum Liquids

- Physics
- 2017

Abstract Various kinds of Bose-Einstein condensates are considered, which evolve without any geometric constraints or external trap potentials including gravitational. For studies of their collective…

Kinks in the relativistic model with logarithmic nonlinearity

- Physics, MathematicsJournal of Physics: Conference Series
- 2019

We study the properties of a relativistic model with logarithmic nonlinearity. We show that such model allows two types of solutions: topologically trivial (gaussons) and topologically non-trivial…

On Asymptotic Behavior of Galactic Rotation Curves in Superfluid Vacuum Theory

- PhysicsAstronomy Reports
- 2021

Abstract The logarithmic superfluid theory of physical vacuum predicts that gravity is an induced phenomenon, which has a multiple-scale structure. At astronomical scales, as the distance from a…

## References

SHOWING 1-10 OF 73 REFERENCES

Vacuum Cherenkov radiation in spacelike Maxwell-Chern-Simons theory

- Physics
- 2007

A detailed analysis of vacuum Cherenkov radiation in spacelike Maxwell-Chern-Simons (MCS) theory is presented. A semiclassical treatment reproduces the leading terms of the tree-level result from…

On the vacuum Cherenkov radiation in noncommutative electrodynamics and the elusive effects of Loren

- Physics
- 2005

We show that in the framework of noncommutative classical electrodynamics Cherenkov radiation is permitted in vacuum and we explicitly compute its spectrum at first order in the noncommutative…

Logarithmic nonlinearity in theories of quantum gravity: Origin of time and observational consequences

- Physics
- 2010

Starting from a generic generally covariant quantum theory, we introduce a logarithmic correction to the quantum wave equation. We demonstrate the emergence of evolution time from the group of…

Spontaneous symmetry breaking and mass generation as built-in phenomena in logarithmic nonlinear quantum theory

- Physics
- 2009

Our primary task is to demonstrate that the logarithmic nonlinearity in the quantum wave equation can cause the spontaneous symmetry breaking and mass generation phenomena on its own, at least in…

Čerenkov effect in Lorentz-violating vacua

- Physics
- 2004

The emission of electromagnetic radiation by charges moving uniformly in a Lorentz-violating vacuum is studied. The analysis is performed within the classical Maxwell-Chern-Simons limit of the…

Vacuum Cerenkov radiation in Lorentz-violating theories without CPT violation.

- PhysicsPhysical review letters
- 2007

This work analyzes the Cerenkov emissions that are associated with the least constrained Lorentz-violating modifications of the photon sector, calculating the threshold energy, the frequency spectrum, and the shape of the Mach cone.

Transition of the light velocity in the Valiov–Cerenkov effect

- PhysicsProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 1998

Accelerated and decelerated motions of a charged point particle inside medium are studied. It is shown explicitly that in addition to the bremsstrahlung and Cerenkov singular waves, previously…