Postulate 1: There is no proof that the large-scale
red shift observed for galaxies is due to Doppler shift. This has just been
assumed, as we do see red (and blue) shifts from observable or calculable motion
due to galactic rotation, double stars, etc., and so have extended this to the
galactic red shifts.
Postulate 2: The linear behaviour of this red shift
with deduced distance, I.e. the value of the Hubble Constant as equal to 1.0,
was a puzzle for many years, implying that the mass of the Universe was exactly
that to prevent either acceleration or deceleration. It is claimed that recent
observations find a deviation for the most distant objects, but due to the
difficulty of observing such objects, correcting for inter-galactic absorption
etc., I would claim that we cannot be certain of these latest
observations.
Postulate 3: If we saw an effect which was linear
with distance, our first reaction would be to say 'it is some interaction which
takes place in space, so the more space traversed, the larger the effect'. So
could there be an effect which reduces the energy of light in intergalactic
space, without noticeably effecting the images we see?
3.1 Imagine an interaction between the light
(photons) and some very, very light objects found in intergalactic space, i.e
imagine a football hitting a golf ball. The heavier object will be diverted very
slightly, loosing a small but finite energy to the lighter. Now imagine many of
these interactions. If the average energy loss is dE,
and the deflection angle da, then after
N scatters:
the Total Energy Loss will be
N.dE;
but the Total Deflection Angle
will be only SQRT(N).da,
due to the random nature of the scatter in the two dimensions perpendicular to
the direction of the light. In other words, there is a 'random walk' in the X
and Y deflections.
Thus the larger the number of scatters, the less
relative importance of the scatter angle compared with the energy
loss.
3.2 [I have a problem here; will there
be a dependence on the mass of the photon, i.e. a dependence of this
interactional red shift on the light wavelength. Do we know objects have the
same red shift in the optical and radio frequencies? The span over the light
spectrum (about an octave) is relatively small compared with the range of e/m
wavelengths.]
3.3 So are there any candidate objects
filling space which could give rise to these scatters? The interaction only
needs to take place with a large mean free path between, because of the huge
distances involved.
3.3.1 Neutrinos - space must be filled with
low energy neutrinos, given off in their myriads by every shining star. Both the
mu and electron neutrinos have a vanishingly small but (it is thought) finite
mass, of which one has now been measured. There can be a second-order
interaction between a photon and a neutrino. Each photon spends some of its time
as an electron-positron pair (for a time given by the Heisenberg Principle of
Uncertainty, and the Plank Constant). In fact this is the lightest
particle-antiparticle pair available, and therefore will be the dominant
alternative state. The electron neutrino can scatter off either one of
these electrons through the Weak Force (a Fermi 4-point
interaction).
Question Can this interaction take place in space without some other object to
maintain energy and momentum conservation?
I can postulate other second or higher order
interactions between photons and neutrinos, but they are even more unlikely (I
think). However, the number of neutrinos must be huge (there is no neutrino
sink), and the distances huge.
3.3.2 3 degree background radiation. We know
that space is filled with these very low energy photons. Now, I know
photon-photon scattering can take place in free space (it has been demonstrated
in intersecting laser beams). Again it is presumably a second order QM effect,
requiring one of the photons to be an electron-positron pair.
As you see, this is hardly yet a theory - my
mathematics is just not up to doing the necessary calculations. I have pointed
out a couple of my uncertainties, and one need to calculate the cross-sections
of these interactions and estimate the probability of them taking place. But
what if I am correct?
......No 'missing mass' problem
......No inflation
......No expanding universe?
......No 'Big Bang'?
We don't need to go back to the Hoyle-Gold-Bondi
steady state theory, because if the Universe is not expanding, one does not have
to postulate spontaneous creation.
So (you ask), where does the 3 deg background
radiation come from...............
Well, maybe these photons are produced in a
light-particle interaction to balance the energy/momentum.
Half-baked - Yes. Just nonsense? Perhaps, but
where?
I live not far from Oxford, and go there quite
often. So if you don't dismiss this completely, I would be happy to go into
further details with you.
Happy Xmas and New Year!
Geoff
PS Do you think I would benefit from the Cosmology
Course starting in January (assuming there are still
places?)