Authors: Dmitri Rabounski
In General Relativity, the change in energy of a freely moving photon is given by the scalar equation of the isotropic geodesic equations, which manifests the work produced on a photon being moved along a path. I solved the equation in terms of physical observables (Zelmanov A. L., Soviet Physics Doklady, 1956, vol. 1, 227-230) and in the large scale approximation, i.e. with gravitation and deformation neglected, while supposing the isotropic space to be globally non-holonomic (the time lines are non-orthogonal to the spatial section, a condition manifested by the rotation of the space). The solution is E = E0 exp(-Ωat/c), where Ω is the angular velocity of the space (it meets the Hubble constant H0 = c/a = 2.3x10-18 sec-1), a is the radius of the Universe, t = r/c is the time of the photon's travel. Thus, a photon loses energy with distance due to the work against the field of the space non-holonomity. According to the solution, the redshift should be z = exp(H0 r/c)-1 ≈ H0 r/c. This solution explains both the redshift z = H0 r/c observed at small distances and the non-linearity of the empirical Hubble law due to the exponent (at large r). The ultimate redshift in a non-expanding universe, according to the theory, should be z = exp(π)-1 = 22.14.
Comments: 18 pages, Published in "The Abraham Zelmanov Journal", vol.2, pp. 11-28 (2009).
[v1] 21 Feb 2010
Unique-IP document downloads: 114 times
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.