Affiliation:
1. Courant Institute of Mathematical Sciences, New York University , New York , USA
Abstract
Abstract
It is shown that nonlinear electrodynamics of the Born–Infeld theory type may be exploited to shed insight into a few fundamental problems in theoretical physics, including rendering electromagnetic asymmetry to energetically exclude magnetic monopoles, achieving finite electromagnetic energy to relegate curvature singularities of charged black holes, and providing theoretical interpretation of equations of state of cosmic fluids via k-essence cosmology. Also discussed are some nonlinear differential equation problems.
Reference95 articles.
1. C. J. Cramer, Essentials of Computational Chemistry, Chichester, John Wiley & Sons, 2002.
2. N. H. March, Electron Density Theory of Atoms and Molecules, New York, Academic Press, 1992.
3. R. G. Parr and W. Yang, Density-Functional Theory of Atoms and Molecules, New York, Oxford U. Press, 1989.
4. V. L. Ginzburg and L. D. Landau, “On the theory of superconductivity,” in Collected Papers of L. D. Landau, D. Ter Haar, Ed., New York, Pergamon, 1965, pp. 546–568.
5. Y. Yang, “Electromagnetic asymmetry, relegation of curvature singularities of charged black holes, and cosmological equations of state in view of the Born–Infeld theory,” Classical Quant. Grav., vol. 39, p. 195007, 2022. https://doi.org/10.1088/1361-6382/ac840b.