In this paper, the model of a multiverse made up of entangled pairs of
universes is presented. The arrow of time obtained from the principles of
thermodynamics and the arrow of time given by the thermodynamics of entanglement
for single universes are analyzed. The latter requires that the single
universes expand once they have crossed the quantum barrier at the Euclidean
regime. The possible relationship with respect to the growth of local
structures in a single universe is also discussed.
Kiefer, C. and Zeh, H.D. (1995) Arrow of Time in a Recollapsing Quantum Universe. Physical Review D, 51, 4145. http://dx.doi.org/10.1103/PhysRevD.51.4145
Wald, R.M. (2006) The Arrow of Time and the Initial Conditions of the Universe. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 37, 394-398.
Goldwirth, D.S. and Piran, T. (1991) Entropy, Inflation and the Arrow of Time. Classical and Quantum Gravity, 8, L155. http://dx.doi.org/10.1088/0264-9381/8/8/001
Castagnino, M. and Laciana, C. (2002) The Global Thermodynamic Arrow of Time. Classical and Quantum Gravity, 19, 2657-2670. http://dx.doi.org/10.1088/0264-9381/19/10/309
Jennings, D. and Rudolph, T. (2010) Entanglement and the Thermodynamic Arrow of Time. Physical Review E, 81, Article ID: 061130. http://dx.doi.org/10.1103/PhysRevE.81.061130
Vedral, V. and Kashefi, E. (2002) Uniqueness of the Entanglement Measure for Bipartite Pure States and Thermodynamics. Physical Review Letters, 89, Article ID: 037903. http://dx.doi.org/10.1103/PhysRevLett.89.037903
Brandao, F.G.S.L. and Plenio, M.B. (2008) Entanglement Theory and the Second Law of Thermodynamics. Nature Physics, 4, 873-877. http://dx.doi.org/10.1038/nphys1100
Litt, A., Eliasmith, C., Kroon, F.W., Weinstein, S. and Thagard, P. (2006) Is the Brain a Quantum Computer? Cognitive Science, 30, 593-603. http://dx.doi.org/10.1207/s15516709cog0000_59
Hawking, S.W. (1982) The Boundary Conditions of the Universe. In: Brück, H.A., Coyne, G.V. and Longair, M.S., Eds., Astrophysical Cosmology, Ponticia Academiae Scientarium, Vatican City, 563.
Lewis, H.R. and Riesenfeld, W.B. (1969) An Exact Quantum Theory of the Time-Dependent Harmonic Oscillator and of a Charged Particle in a Time-Dependent Electromagnetic Field. Journal of Mathematical Physics, 10, 1458. http://dx.doi.org/10.1063/1.1664991
Partovi, M.H. (2008) Entanglement versus Stosszahlansatz: Disappearance of the Thermodynamic Arrow in a High- Correlation Environment. Physical Review E, 77, Article ID: 021110. http://dx.doi.org/10.1103/PhysRevE.77.021110
Alicki, R., Horodecki, M., Horodecki, P. and Horodecki, R. (2004) Thermodynamics of Quantum Information Systems—Hamiltonian Description. Open Systems & Information Dynamics, 11, 205. http://dx.doi.org/10.1023/B:OPSY.0000047566.72717.71
Plenio, M.B. and Vedral, V. (1998) Teleportation, Entanglement and Thermodynamics in the Quantum World. Contemporary Physics, 39, 431-446. http://dx.doi.org/10.1080/001075198181766