Correspondence between dark energy quantum cosmology and Maxwell equations

作者: Felipe A. Asenjo , Sergio A. Hojman , Sergio A. Hojman , Sergio A. Hojman

DOI: 10.1140/EPJC/S10052-019-7252-Z

关键词: Quantum cosmologyQuintessencePhysicsCosmological constantCosmologyField (physics)UniverseMaxwell's equationsMathematical physicsDark energy

摘要: A Friedmann–Robertson–Walker cosmology with dark energy can be modelled using a quintessence field. That system is equivalent to relativistic particle moving on two-dimensional conformal spacetime. When the behaves as free massless scalar field in Universe cosmological constant, quantized version of that theory lead supersymmetric Majorana quantum cosmology. The purpose this work show such model corresponds Maxwell equations for electromagnetic waves propagating medium specific values its relative permittivity and permeability. form those media parameters are calculated, implying studied an analogue system.

参考文章(35)
Richard W. Ziolkowski, Nader Engheta, Metamaterials: Physics and Engineering Explorations ,(2006)
Andrew J. Hanson, Claudio Teitelboim, Tullio Regge, Constrained Hamiltonian Systems Accademia Nazionale dei Lincei. ,(1976)
Matt Visser, Carlos Barceló, Stefano Liberati, Analogue Models of and for Gravity General Relativity and Gravitation. ,vol. 34, pp. 1719- 1734 ,(2002) , 10.1023/A:1020180409214
Zongliang Zheng, Huaiwu Zhang, John Q. Xiao, Feiming Bai, Low Loss ${\rm NiZn/Co}_{2}{\rm Z}$ Composite Ferrite With Almost Equal Values of Permeability and Permittivity for Antenna Applications IEEE Transactions on Magnetics. ,vol. 49, pp. 4214- 4217 ,(2013) , 10.1109/TMAG.2013.2243829
Nivaldo A. Lemos, Flávio G. Alvarenga, Dynamical Vacuum in Quantum Cosmology General Relativity and Gravitation. ,vol. 30, pp. 681- 694 ,(1998) , 10.1023/A:1018896900336
Sergio A. Hojman, Felipe A. Asenjo, Supersymmetric Majorana quantum cosmologies Physical Review D. ,vol. 92, pp. 083518- ,(2015) , 10.1103/PHYSREVD.92.083518
Hua Su, Xiaoli Tang, Huaiwu Zhang, Yulan Jing, Feiming Bai, Zhiyong Zhong, Low-loss NiCuZn ferrite with matching permeability and permittivity by two-step sintering process Journal of Applied Physics. ,vol. 113, ,(2013) , 10.1063/1.4793508
S P Gavrilov, D M Gitman, Quantization of the relativistic particle Classical and Quantum Gravity. ,vol. 17, ,(2000) , 10.1088/0264-9381/17/19/101