Hubble Redshift in a Static Universe
"We find that the UV surface brightness of luminous disk galaxies are constant over a very wide redshift range (from z = 0.03 to z ~ 5). From this analysis we conclude that the Tolman test for surface brightness dimming is consistent with a non-expanding, Euclidean Universe with distance proportional to redshift."
What causes the (Hubble) redshift in a non-expanding universe? Vacuum friction? Why not:
NewScientist: "Vacuum has friction after all"
Paul Davies: "As pointed out by DeWitt, the quantum vacuum is in some respects reminiscent of the aether, and in what follows it may be helpful to think of space-time as filled with a type of invisible fluid medium, representing a seething background of vacuum fluctuations. Although the mechanical properties of this medium can be strange, and the image should not be pushed too far, it is sometimes helpful to envisage this "quantum aether" as possessing a type of viscosity. (...) The phenomenon is at its most striking in the case of a single atom moving parallel to, but some distance from, an imperfectly conducting plate. The atom also experiences a velocity-dependent damping force due to vacuum friction. The kinetic energy of the atom appears as heat in the plate..."
The Evolved-Vacuum Model of Redshifts, Eugene I. Shtyrkov: "There are also alternative models of redshifts which obey the redshift-distance relation and based on an idea of gradual change of light parameters due to interaction between light and matter while the light is traveling gigantic distances through space for a very long time. There are two candidate ways for such interaction to cause redshifts: gradual energy loss by the photon due to absorption during propagation of light with a constant velocity (tired-light model, see, for instance, [8]) and propagation of light with the variable velocity and without absorption in free space (variable-light-velocity models). (...) Thus we come to a very important conclusion: the induction wave, and hence the light one, must travel in vacuum with conservation of wave length even when the parameters are time dependent. (...) ...we obtain a simple differential equation for the light velocity: dc(t)/dt = -Ho.c(t) (15) (...) Although reproducing the conclusions of the tired-light model, namely, about simultaneous decreasing the electric field strength and frequency, this model has a different physical interpretation. Instead of energy loss due to absorption at constant light velocity, this mechanism is based on gradual change of the vacuum parameters that results in declining of the electric field strength. The electromagnetic wave is gradually slowing down, with conservation of the initially shifted wavelength (lambda)_shift. The frequency perceived by observers at any point on the light path depends on the light velocity at the observation time."
HYPOTHESIS: As the photon travels through space (in a STATIC universe), it bumps into vacuum particles and as a result loses speed in much the same way that a golf ball loses speed due to the resistance of the air.
On this hypothesis the resistive force (Fr) is proportional to the the velocity of the photon (V):
Fr = - KV
That is, the speed of light decreases with time in accordance with the equation:
dV/dt = - K'V
Clearly, at the end of a very long journey of photons (coming from a very distant object), the contribution to the redshift is much smaller than the contribution at the beginning of the journey. Light coming from nearer objects is less subject to this difference, that is, the increase of the redshift with distance is closer to LINEAR for short distances. For distant light sources we have:
f' = f(exp(-kt))
where f is the original and f' the measured (redshifted) frequency. (The analogy with the golf ball requires that it be assumed that the speed of light and the frequency vary while the wavelength remains unchanged.) For short distances the following approximations can be made:
f' = f(exp(-kt)) ~ f(1-kt) ~ f - kd/L
where d is the distance between the light source and the observer and L is the wavelength. The equation f'=f-kd/L is only valid for short distances and corresponds to the Hubble law whereas the equation f'=f(exp(-kt)), by showing that later contributions to the redshift are smaller than earlier ones, provides an alternative explanation, within the framework of a STATIC universe, of the observations that brought the 2011 Nobel Prize for Physics to Saul Perlmutter, Adam Riess and Brian Schmidt. The analogy with the golf ball suggests that, at the end of a very long journey (in a STATIC universe), photons redshift much less vigorously than at the beginning of the journey.
Pentcho Valev