General Relatitivity predicts Timelike curves and there are nonlinear extensions of mechanics which resolve the paradoxical aspects of CTC's(adsbygoogle = window.adsbygoogle || []).push({}); *i.e. Time Travel, on the other hand Hawking proposed a conjeture to rule out CTCs, the Chronology Protection Conjecture*

there are a class of Timelike Curves, Open Timelike Curvatures, OTCs which leads to violate Heisenberg's Uncertainty Principle

http://arxiv.org/pdf/1206.5485v1.pdf

...and show that the Heisenberg uncertainty principle between canonical variables, such as position and momentum, can be violated in the presence of interaction-free CTCs....

...We refer to the interaction-free case as an 'open time like curve' (OTC) because the disconnected paths of the time-traveller's trajectory appear to form an open loop rather than a closed curve...

...We have speculated on the extension of this idea to curved spacetimes in general by conjecturing that gravitational time dilation can be modelled as an OTC effect. This leads to a modied theory of quantum optics that becomes nonlinear in the presence of curvature. This speculation could be testable with current technology via experiments on entangled systems in earth's gravitational feld*...

*D. Deutsch, Phys. Rev. D, 44, 3197

J. B. Hartle, Phys. Rev. D, 49, 6543

H. D. Politzer, Phys. Rev. D, 49, 3981

S. Lloyd, L. Maccone, R. Garcia-Patron, V. Giovannetti,

Y. Shikano, S. Pirandola, L. A. Rozema, A. Darabi,

Y. Soudagar, L. K. Shalm, and A. M. Steinberg, Phys. Rev. Lett., 106, 040403.

T. C. Ralph and C. R. Myers, Phys. Rev. A 82, 062330

*Hawking, S.W. Phys. Rev. D46, 603-611.

*T. C. Ralph, G. J. Milburn, and T. Downes, Phys. Rev.A, 79, 022121

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# Timelike Curves leads to violation of heisenberg uncertainty Relation

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