hubble39

4. The Hubble law analysis on the basis of the photon ageing hypothesis Despite the relativistic categorical conclusion that the photon ageing hypothesis is irrelevant to explain the red shift, we have to notice that in the mathematical view this approach is the same substantiated as the approach basing on the Doppler effect. In the Atsukovsky's interpretation, the red shift substantiation has the following form: "If we substitute into the Hubble law (1) the expression for the Planck law
	(43)
we will obtain
	(44)
or
	(45)
whence
	(46)
or
years.	(47)
Consequently, the 'red shift' evidences not of the 'expansion of the universe' but that the photons lose their energy, for example, due to the viscosity of the aether filling the world space" [7, p. 40]. We see the Atsukovsky's derivation quite simple and obvious. It explains the red shift without necessity to take into account the velocities of the metagalactic systems increasing to the periphery of Metagalaxy. True, Atsukovsky had to rely on one more of many basic contradictions of the photon theory, having violated the postulate of the invariable and indivisible quantum of light. In this derivation the photon in its propagation does not interact with the substance, i.e., it is not absorbed, neither re-emitted. Hence, such ageing essentially departs from the postulates of photon theory, since it evidences the possibility of spontaneous variation of the photon frequency in time. Furthermore, we can easily show that if we admit the ageing, it will break the consistence of the wave function of photon
	(48)
(see, for example, [11, p. 18]) with the Schroedinger equation. Really, we have from (1)
	(49)
It follows from (49) that the light frequency falls with the distance from the source as
	(50)
If now we record the wave function for a plane EM wave (which is true at large distances from the source) in the following form
	(51)
and substitute (50) to (51), we will yield
	(52)
It is easy to check that (52) satisfies no one known form of the wave equation, in that number the Schroedinger equation in general form
	(53)
[12, p. 21], since
	(54)
We see from (54) that the coefficient at the exponent in the right-hand part depends not only on spatial parameter R but also on the time parameter t which can be compensated in (53) by no other term of the differential expression, in that number by the derivative /t . Similar dependence of ^²f / r^² on time can arise in the exceptional case, if in the propagation of EM wave (not photons) in space it experiences some transformation of the frequency due to the interaction with the substance of space. However the relativists admit that their relativistic effects of scattering on the particles and Dirac electrons, as well as the gravitation interaction of photon, cannot serve as the model of such interaction. Atsukovsky points the viscosity of the aether as a model. As this issue is of great importance, it makes sense to study it separately.

V.3 No 1	39
On the nature of red shift of Metagalaxy