Causality in Superluminal Pulse Propagation
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The theory of electromagnetism for wave propagation in vacuum, as embodied by Maxwell’s equations, contains physical constants that can be combined to arrive at the speed of light in vacuum c. As shown by Einstein, consideration of the space–time transformation properties of Maxwell’s equations leads to the special theory of relativity. One consequence of this theory is that no information can be transmitted between two parties in a time shorter than it would take light, propagating through vacuum, to travel between the parties. That is, the speed of information transfer is less than or equal to the speed of light in vacuum c and information related to an event stays within the so-called light cone associated with the event. Hypothetical faster-than-light (superluminal) communication is very intriguing because relativistic causality would be violated. Relativistic causality is a principle by which an event is linked to a previous cause as viewed from any inertial frame of reference; superluminal communication would allow us to change the outcome of an event after it has happened.
KeywordsGroup Velocity Special Theory Input Pulse Electromagnetically Induce Transparency Polarize Beam Splitter
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RWB and DJG gratefully acknowledge support from the DARPA/DSO Slow Light Program, and RWB from the NSF.
- 1.M. Fayngold, Special Relativity and Motions Faster than Light (Wiley-VCH Verlag GmbH, Weinheim, 2002)Google Scholar
- 2.J.A. Zensus, T.J. Pearson, (eds.), Superluminal Radio Sources (Cambridge University Press, Cambridge, 1987)Google Scholar
- 5.P.W. Milonni, Fast Light, Slow Light, and Left-Handed Light (Institute of Physics Publishing, Bristol, 2005)Google Scholar
- 11.R.Y. Chiao, A.M. Steinberg, in Progress in Optics 37, E. Wolf (ed.) (Elsevier, Amsterdam, 1997).Google Scholar
- 14.W.R. Hamilton, Proc. R. Irish Acad. 1, 341 (1839)Google Scholar
- 15.L. Rayleigh (J.W. Strutt), Nature 24, 382 (1881)Google Scholar
- 16.L. Rayleigh (J.W. Strutt), Nature 25, 52 (1881)Google Scholar
- 17.H.A. Lorentz, Theory of Electrons (1909), reprinted by Dover Publications, New York (1952)Google Scholar
- 32.The work of A. Sommerfeld and L. Brillouin from 1914 is translated into English and collected in the book: L. Brillouin, Wave Propagation and Group Velocity (Academic Press, New York, 1960)Google Scholar
- 37.R.Y. Chiao, in Amazing Light: A Volume Dedicated to Charles Hard Townes on His 80th Birthday, R.Y. Chiao (ed.) (Springer, New York, 1996), p. 91Google Scholar
- 54.St. Augustine, Confessions, book 7, chapter 6 (ca. 397 AD)Google Scholar
- 56.A. Einstein, Relativity: The Special and the General Theory – A Clear Explanation that Anyone Can Understand (Gramercy, New York, 1988)Google Scholar
- 57.W.R. LeFew, S. Venakides, D.J. Gauthier, preprint (2008) Available at: http://arxiv.org/PScache/arxiv/pdf/0705/0705.4238v2.pdf
- 59.N. Herbert, Faster Than Light (New American Library Books, Penguin Inc., New York, 1998)Google Scholar
- 61.R.J. Glauber, in New Techniques and Ideas in Quantum Measurement Theory, D.M. Greenberg (ed.), Ann. N.Y. Acad. Sci. 480, 336 (1986)Google Scholar