In this paper we
resolve the grandfather paradox in non-quantum and quantum
gravitation theories for time travelling in a time wormhole. For macroscopic
bodies, the main solution is alignment of the thermodynamic time arrows,
resulting in the time traveller destroying. For microscopic bodies and for
small probability cases of macroscopic bodies, the main solution is fracture of
the time wormhole. As a result, multi-world system appears. These explanations
are similar in non-quantum and quantum gravity. On the contrary, we can clarify
some problems of quantum gravity by this consideration. “Indestructible finite
gravitation interaction of an observer with an observable system (resulting in
the time arrows alignment)” and “instability with respect to even
infinitesimally small interaction in the gravitation theory” can resolve the
wave function reduction paradox of quantum mechanics.
References
[1]
Noyola, J.P. (2006) Relativity and Wormholes. http://www.uta.edu/physics/main/resources/ug_seminars/papers/RelativityandWormholes.doc
[2]
Clarke, A.C. (1962) Profiles of the Future. Harper & Row, New York.
[3]
Krasnikov, S.V. (2000) Toward a Traversable Wormhole. Space Technology and Application International Forum. http://arxiv.org/abs/gr-qc/0003092v1
[4]
Morris, M. and Thorne, K. (1988) Wormholes in Spacetime and Their Use for Interstellar Travel: A Tool for Teaching General Relativity. American Journal of Physics, 56, 395-416. http://dx.doi.org/10.1119/1.15620
[5]
Kupervasser, O., Nikolic, H. and Zlatic, V. (2012) Universal Arrow of Time. Foundations of Physics, 42, 1165-1185. http://dx.doi.org/10.1007/s10701-012-9662-8
[6]
Kupervasser, O. (2013) The Universal Arrow of Time Is a Key for the Solution of the Basic Physical Paradoxes. Electronic Journal of Theoretical Physics, 10, 39.
[7]
Amos, O. (2005) A Class of Time-Machine Solutions with a Compact Vacuum Core. Physical Review Letters, 95, 021101-021104. http://dx.doi.org/10.1103/PhysRevLett.95.021101
Novikov, I.D., Kardashev, N.S. and Shatskii, A.A. (2007) The Multicomponent Universe and the Astrophysics of Wormholes. Physics-Uspekhi, 177, 1017.
[10]
Friedman, J., Morris, M., Novikov, I., Echeverria, F., Klinkhammer, G., Thorne, K. and Yurtsever, U. (1990) Cauchy Problem in Spacetimes with Closed Timelike Curves. Physical Review D, 42, 1915-1930. http://dx.doi.org/10.1103/PhysRevD.42.1915
[11]
Zeh, H.D. (2007) The Physical Basis of the Direction of Time. Springer, Heidelberg.
[12]
Zeh, H.D. (2005) Remarks on the Compatibility of Opposite Arrows of Time. Entropy, 7, 199-207. http://dx.doi.org/10.3390/e7040199
[13]
Zeh, H.D. (2006) Remarks on the Compatibility of Opposite Arrows of Time II. Entropy, 8, 44-49. http://dx.doi.org/10.3390/e8010044
[14]
Nikolic, H. (2006) Causal Paradoxes: A Conflict between Relativity and the Arrow of Time. Foundations of Physics Letters, 19, 259-267. http://dx.doi.org/10.1007/s10702-006-0516-5
[15]
Hawking, S.W., Thorne, K.S., Novikov, I., Ferris, T., Lightman, A. and Price, R. (2002) The Future of Spacetime. Institute of Technology, Pasadena.
[16]
Shulman, M.H. (2012) Is It Possible to Travel in Time? http://www.timeorigin21.narod.ru/eng_time/Is_it_possible_to_travel_in_time_eng.pdf
[17]
Kim, S.W. and Thorne, K.S. (1991) Do Vacuum Fluctuations Prevent the Creation of Closed Timelike Curves? Physical Review D, 43, 3929. http://dx.doi.org/10.1103/PhysRevD.43.3929
[18]
Cassidy, M.J. and Hawking, S.W. (1998) Models for Chronology Selection. Physical Review D, 57, 2372-2380. http://dx.doi.org/10.1103/PhysRevD.57.2372
[19]
Poplawski, N.J. (2010) Radial Motion into an Einstein-Rosen Bridge. Physics Letters B, 687, 110-113. http://dx.doi.org/10.1016/j.physletb.2010.03.029