Publications (peer-reviewed)

Topological Wavelength Shifts [Electromagnetic Field in Lobachevskian Geometry]
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.

Topological Intensity Shifts of Electromagnetic Field in Lobachevskian Space. Olbers Paradox Solved, Deep Space Communication, and the New Electromagnetic Method of Gravitational Wave Detection.
The major new result is the behavior of the intensity of electromagnetic radiation in Lobachevskian (hyperbolic) spaces. The change in intensity vs. space curvature and distance is derived. The non-existence of Olber's paradox in a Lobachevskian universe is shown. A new electromagnetic method for detection of gravitational waves is proposed. An explanation of observed perioditicy in redshifts is given. Problems of deep space communications are discussed.

Application of Lobachevsky's Formula on the Angle of Parallelism to Geometry of Space and to the Cosmological Redshift
A new formula for an experimental determination of a fundamental quantity in hyperbolic geometry, namely, Lobachevsky's function is presented. Applications to cosmology are discussed. Using the above result, we strongly suggest that the sign of the curvature of the ambient space is negative.

Publications (self-published)

Mathematical Theory Of Cosmological Redshift in Static Lobachevskian Universe.Mistake of Edwin Hubble.
Presentation given at Second Crisis in Cosmology Conference, 2008.

Big Bang as a Fatal Mistake of Edwin Hubble. Cosmological Red-shift and Related Electromagnetic Phenomena in Static Lobachevskian (Hyperbolic) Universe.
As an alternative to the Big Bang (the standard model), we present a mathematical theory of cosmological red-shift. We show that a fundamental formula of Lobachevskian (hyperbolic) geometry describes cosmological red-shift and the Doppler effect as well. As presented here, the cosmological red-shift preserves wavelength ratios (it shifts uniformly the whole electromagnetic spectrum), it is scale invariant, it is a monotonically increasing function of distance, and it is source independent. It agrees with all experimental data. The distortion introduced by imaging from hyperbolic into Euclidean space is discussed. Physical measurements in Lobachevskian space are discussed and the new formula relating red-shift and/or Doppler shift to aberration is given. An analysis is presented of an erroneous origin of Hubble’s so-called velocity distance law.