Abstract
T violation has previously been shown to induce destructive interference between different paths that the universe can take through time which leads to a new quantum equation of motion called bievolution. Here we examine further details of the interference and clarify the conditions needed for the bievolution equation.
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Notes
Note that \(I_{m,n}(\tau ^{2}\lambda )\) here is equivalent to the function \(I_{m,n}(\lambda )\) in Ref. [40].
References
Andrianov, A.A., Taron, J., Tarrach, R.: Neutral kaons in medium: decoherence effects. Phys. Lett. B 507, 200 (2001). doi:10.1016/S0370-2693(01)00463-4
Bertlmann, R.A., Hiesmayr, B.C.: Kaonic qubits. Quantum Inf. Process. 5, 421 (2006). doi:10.1007/s11128-006-0026-1
Berger, Ch., Sehgal, L.M.: CP violation and arrows of time: evolution of a neutral K or B meson from an incoherent to a coherent state. Phys. Rev. D 76, 036003 (2007). doi:10.1103/PhysRevD.76.036003
Courbage, M., Durt, T., Saberi Fathi, S.M.: Dissipative dynamics of the kaon decay process. J. ACM 15, 71–78 (2010). doi:10.1016/j.cnsns.2009.01.020
Di Domenico, A., Gabriel, A., Hiesmayr, B.C., Hipp, F., Huber, M., Krizek, G., Mohlbacher, K., Radic, S., Spengler, C., Theussl, L.: Heisenberg’s uncertainty relation and bell inequalities in high energy physics. Found. Phys. 42, 778–802 (2012). doi:10.1007/s10701-011-9575-y
Berger, Ch., Sehgal, L.M.: Flow of entropy in the evolution of the \(B^0-\bar{B}^0\) system: upper bound on CP violation from unidirectionality. Phys. Rev. D 86, 057901 (2012). doi:10.1103/PhysRevD.86.057901
Bramon, A., Escribano, R., Garbarino, G.: Bell’s inequality tests with Meson–Antimeson pairs. Found. Phys. 36, 563 (2006)
Bernabeu, J., Mavromatos, N.E., Papavassiliou, J., Waldron-Lauda, A.: Intrinsic CPT violation and decoherence for entangled neutral mesons. Nucl. Phys. B 744, 180 (2006)
Bramon, A., Escribano, R., Garbarino, G.: Bell’s inequality tests: from photons to B-mesons. J. Mod. Opt. 52, 1681 (2005)
Go, A.: Observation of Bell inequality violation in B mesons. J. Mod. Opt. 51, 991–998 (2004)
Gerber, H.-J.: Searching for evolutions from pure states into mixed states with entangled neutral kaons. Eur. Phys. J. C 32, 229 (2004)
Genovese, M.: Entanglement properties of kaons and tests of hidden-variable models. Phys. Rev. A 69, 022103 (2004)
Bertlmann, R.A., Bramon, A., Garbarino, G., Hiesmayr, B.C.: Violation of a Bell inequality in particle physics experimentally verified? Phys. Lett. A 332, 355 (2004)
Bertlmann, R.A., Durstberger, K., Hiesmayr, B.C.: Decoherence of entangled kaons and its connection to entanglement measures. Phys. Rev. A 68, 012111 (2003). doi:10.1103/PhysRevA.68.012111
Samal, M.K., Home, D.: Violation of Bell’s inequality in neutral kaons system. Pramana 59, 289 (2002)
Bramon, A., Garbarino, G.: Test of local realism with entangled kaon pairs and without inequalities. Phys. Rev. Lett. 89, 160401 (2002)
Barnett, S.M., Kraemer, T.: CP violation, EPR correlations and quantum state discrimination. Phys. Lett. A 293, 211 (2002)
Gisin, N., Go, A.: EPR test with photons and kaons: analogies. Am. J. Phys. 69, 264 (2001)
Andrianov, A.A., Taron, J., Tarrach, R.: Neutral kaons in medium: decoherence effects. Phys. Lett. B 507, 200 (2001). doi:10.1016/S0370-2693(01)00463-4
Bertlmann, R.A., Hiesmayr, B.C.: Bell inequalities for entangled kaons and their unitary time evolution. Phys. Rev. A 63, 062112 (2001)
Bertlmann, R.A., Grimus, W., Hiesmayr, B.C.: Bell inequality and CP violation in the neutral kaon system. Phys. Lett. A 289, 21 (2001)
Bohm, A.: Time-asymmetric quantum physics. Phys. Rev. A 60, 861 (1999)
Foadia, R., Sellerib, F.: Quantum mechanics versus local realism and a recent EPR experiment on \(K^0 \bar{K}^0\) pairs. Phys. Lett. B 461, 123 (1999)
Ancochea, B., Bramon, A., Nowakowski, M.: Bell inequalities for \(K^0K^0\) pairs from F-resonance decays. Phys. Rev. D 60, 094008 (1999)
Bramon, A., Nowakowski, M.: Bell inequalities for entangled pairs of neutral kaons. Phys. Rev. Lett. 83, 1 (1999)
Bohm, A.: Irreversible quantum mechanics in the neutral \(K\)-system. Int. J. Theor. Phys. 30, 2239–2269 (1997)
Corbett, J.V.: Quantum mechanical measurement of non-orthogonal states and a test of non-locality. Phys. Lett. A 130, 419 (1988)
Squires, E.J.: Non-self-adjoint observables. Phys. Lett. A 130, 192 (1988)
Datta, A., Home, D., Raychaudhuri, A.: Is quantum mechanics with CP nonconservation incompatible with Einstein’s Locality condition at the statistical level? Phys. Lett. A 130, 187 (1988)
Clifton, R.K., Redhead, M.L.G.: The compatibility of correlated CP violating systems with statistical locality. Phys. Lett. A 126, 295 (1988)
Finkelstein, J., Stapp, H.P.: CP violation does not make faster-then-light communication possible. Phys. Lett. A 126, 159 (1987)
Squires, E., Siegwart, D.: CP violation and the EPR experiment. Phys. Lett. A 126, 73 (1987)
Lindblad, G.: Comment on a curious gedanken experiment involving superluminal communication. Phys. Lett. A 126, 71 (1987)
Hall, M.J.W.: Imprecise measurements and non-locality in quantum mechanics. Phys. Lett. A 125, 89 (1987)
Datta, A., Home, D., Raychaudhuri, A.: A curious gedanken example of the Einstein–Podolsky–Rosen paradox using CP nonconservation. Phys. Lett. A 123, 4 (1987)
Angelopoulos, A., et al.: First direct observation of time-reversal non-invariance in the neutral-kaon system. Phys. Lett. B 444, 43–51 (1998). doi:10.1016/S0370-2693(98)01356-2
Lees, J.P., et al.: Observation of time-reversal violation in the \(B^0\) meson system. Phys. Rev. Lett. 109, 211801 (2012). doi:10.1103/PhysRevLett.109.211801
Aiello, M., Castagnino, M., Lombardi, O.: The arrow of time: from universe time-asymmetry to local irreversible processes. Found. Phys. 38, 257 (2008). doi:10.1007/s10701-007-9202-0
Fassarella, L.: Dispersive quantum systems. Braz. J. Phys. 42, 84–99 (2012). doi:10.1007/s13538-011-0053-y
Vaccaro, J.A.: T violation and the unidirectionality of time. Found. Phys. 41, 1569–1596 (2011). doi:10.1007/s10701-011-9568-x
Price, H.: Time’s Arrow and Archimedes’ Point. Oxford University Press, New York (1996)
Wigner, E.P.: Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra. Academic Press, New York (1959)
Carroll, S.M., Chen, J.: Spontaneous inflation and the origin of the arrow of time (2004). arXiv:hep-th/0410270
Carroll, S.M.: The cosmic origins of time’s arrow. Sci. Am. 298, 48–57 (2008)
Barbour, J., Koslowski, T., Mercati, F.: Identification of a gravitational arrow of time. Phys. Rev. Lett. 113, 181101 (2014)
Vaccaro, J.A.: Quantum asymmetry between time and space (2015). arXiv:1502.04012
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Vaccaro, J.A. T Violation and the Unidirectionality of Time: Further Details of the Interference. Found Phys 45, 691–706 (2015). https://doi.org/10.1007/s10701-015-9896-3
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DOI: https://doi.org/10.1007/s10701-015-9896-3