Special Issue "Towards New Cosmology from Quantum Gravity & Particle Physics"

A special issue of Applied Mathematics and Physics

Deadline for manuscript submissions: (June 10, 2014)

Special Issue Editor(s)

Chief Guest Editor

Lukasz A. Glinka
Email: laglinka@gmail.com

Special Issue Information

The Special Issue will present manuscripts authored by L. A. Glinka. At least 4 papers which have never been published by a journal, each having at least 4 pages, will be solicited. Their initial versions have already been reviewed and accepted for a public presentation by a reliable source of scientific information. These contributions are dedicated to L.A. Glinka's research in quantum gravity and particle physics, which aimed at looking for the new cosmology. Temporary list of contributions, of which the best ones will be selected, corrected and updated for the purposes of the Special Issue:

1) L. A. Glinka, Thermodynamics of space quanta models quantum gravity, arXiv:0906.3827[gr-qc]
2) L. A. Glinka, Novel solution of the Wheeler–DeWitt theory, arXiv:0906.3825[gr-qc]
3) L. A. Glinka, 1D Global Bosonization of Quantum Gravity, arXiv:0804.3516[gr-qc]
4) L. A. Glinka, Preliminaries in Many-Particle Quantum Gravity. I. Einstein–Friedmann Spacetime, arXiv:0711.1380[gr-qc]
5) L. A. Glinka, Higher Dimensional Quantum Gravity Model, viXra:1110.0011
6) L. A. Glinka, Two Charged Scalar Field-Based Mass Generation Mechanisms, viXra:1110.0012
7) L. A. Glinka, Complement to Special Relativity at Superluminal Speeds: CERN Neutrinos Explained, viXra:1110.0010
8) L. A. Glinka, Gravitational Waves Versus Cosmological Perturbations: Commentary to Mukhanov’s Talk, viXra:1110.0013


  • Quantum Gravity
  • High Energy Physics
  • Standard Model
  • Cosmology

Published Papers

Abstract: In this paper, making use of the’tHooft–Polyakov–Julia–Zeeansatz for the SU(2) Yang–Mills–Higgs gauge field theory, we present the straightforward generalization of the Bogomoln’yi equations and its several consequences. Particularly, this is shown that this idea is able to generate new types of non-abelian both dyons and magnetic monopoles and, moreover, that within the new model the scalar field can be described through the Coulomb potential, whereas, upto aconstant, the non-abelian gauge field becomes the Wu–Yang monopole.
Abstract: In this paper, an effcient combination of the diverse theoretical approaches, such like the Einstein gravitational waves, the Lifshitz cosmological perturbation theory, the Veltman perturbative quantum gravity, and the Maxwell electrodynamics, leads to an essentially new discussion of either massless and massive gravitons. The new force law of gravitation is established. The case of the Planckian particle is considered in the context of the Markov hypothesis.
Abstract: A massless photon, originated already through the Maxwell theory of electromagnetism, is one of the basic paradigms of modern physics, ideally supported throughout both the quantum electrodynamics and the Higgs mechanism of spontaneous symmetry breaking which lays the foundations of the Standard Model of elementary particles and fundamental interactions. Nevertheless, the physical interpretation of the optical experimental data, such like observations of total internal reflection of the beam shift in the Goos–H¨anchen effect, concludes a photon mass. Is, therefore, light diversified onto two independent species - gauge photons and optical photons? Can such a state of affairs be consistently described through a unique theoretical model? In this paper, two models of a photon mass, arising from the scalar quantum electrodynamics with the Higgs potential, are discussed. The first scenario leads to a neutral scalar mass estimable throughout the experimental limits on a photon mass. In the modified mechanism, a neutral scalar mass in not affected throughout a photon mass and is determinable through the experimental data, while a massless dilaton is present and a non-kinetic massive vector field effectively results in the string theory of non-interacting invariant both a free photon and a neutral scalar, and the Aharonov–Bohm effect is considered. The Markov hypothesis on maximality of the Planck mass is applied.
Abstract: Throughout the violation of momentum-velocity parallelism and deformation of the Einstein equivalence principle, the model of faster- than-light motion, wherein both the Minkowski energy-momentum space and the Lorentz invariance, laying the foundations of Special Relativity and Standard Model, is constructed. Recently announced and denounced CERN's superluminal neutrinos are confronted.
Abstract: In this paper the model of quantum gravity for the higher dimensional Lorentzian space-times, in the sense of the analogy with the Arnowitt–Deser–Misner decomposition well-known from General Relativity, is presented. The model is constructed through making use of the quantum geometrodynamics supplemented by the global onedimensionality conjecture, and considers the objective wave functionals. The framework of quantum field theory is applied in order to establish the phenomenological efficiency in accordance with high energy physics. The empirical deductions on the spatial dimensionality are presented as the relationship between the model and gauge theories, especially string theory.
Abstract: Taking into account the global one-dimensionality conjecture recently proposed by the author, the Cauchy-like analytical wave functional of the Wheeler-DeWitt theory is derived. The crucial point of the integration strategy is canceling of the singular behavior of the effective potential, which is performed through the suitable change of variables introducing the invariant global dimension. In addition, the conjecture is extended onto the wave functionals dependent on both Matter felids as well as the invariant global dimension. Through application of the reduction within the quantum gravity model, the appropriate Dirac equation is obtained and than solved. The case of superposition is also briey discussed.
Abstract: The canonically quantized 3+1 General Relativity with the global one dimensionality conjecture defines the model, which dimensionally reduced and secondary quantized yields the one-dimensional quantum field theory wherein the generic one-point correlations create a boson mass responsible for quantum gravity. In this paper, this simple model is developed in a wider sense. We propose to consider the thermodynamics of space quanta, constructed ab initio from the entropic formalism, as the quantum gravity phenomenology.
Abstract: In this paper, making use of the global one-dimensionality conjecture, we discuss the reduction of the Wheeler–DeWitt quantum geometrodynamics to the Klein–Gordon equation describing the scalar bosonic particle. The method of second quantization in the appropriate Fock space is applied, and, employing both the Bogoliubov transformation as well as Heisenberg equations of motion, the quantum gravity is expressed as evolution of the creators and annihilators related to the initial data. It is shown that this procedure leads to the understanding of the boson mass, through the one-point two-boson quantum correlations, as a scaled initial data mass.