Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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Topological Wavelength Shifts [Electromagnetic Field in Lobachevskian Geometry]

By J. G. von Brzeski and V. von Brzeski

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It is shown that in hyperbolic spaces, an electromagnetic radiation experiences shifts in spectrum as a function of curvature and distance. The equation relating distance in hyperbolic space, its curvature, and spectral shift is derived by method of horospheres. The active nature of the Lobachevskian vacuum is discussed with applications to physics.

J. G. von Brzeski and V. von Brzeski, "Topological Wavelength Shifts [Electromagnetic Field in Lobachevskian Geometry]," Progress In Electromagnetics Research, Vol. 39, 281-298, 2003.

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