Barry just emailed the following to me. He will be home next Wednesday, so any further responses from him will have to wait until jet lag is a bit under control...
============
Paul of Eugene and Mark Kluge raise the following matters in relation to changing lightspeed: The slow-down effect of events on distant objects proportional to the drop in the speed of light, and its implications for Cepheid variables and galaxy rotation rates. Additional comment has come about measured changes in lightspeed, c, Planck’s constant, h, and electron rest-mass, m, and various combinations of these constants. Mark has also ‘corrected’ a statement about the smearing of the redshift, but has misunderstood what was being referred to, and has also asked about mass and gravity.
Let us take these comments in reverse order. First, then, let me state that the mass and gravity issue is still being finalized. A preliminary paper is being prepared on the matter and discussions about it are continuing with some physicists. Until this process is complete, a definitive statement will not be issued. It is of interest to note that this is also a major topic of discussion (along with the validity of Einstein’s famous equation) by other scientists involved with variable speed of light (VSL) theories, and they have not reached any final conclusions on this matter either.
Second, Mark has really misunderstood what Helen was talking about with the redshift and smearing and has tried to ‘correct’ her. In actual fact Helen was basically correct for what she was discussing, since she was talking about the effect of motion on the quantisation of the redshift. It is significant that the redshift quantisation exists throughout the Virgo cluster. However, at a conference on quantisation in Tucson, Arizona, in April 1996, it was pointed out that at the centre of the Virgo cluster, deep in the gravitational potential well where galaxy motion is expected to be higher than elsewhere, it turns out that this galaxy motion destroys the quantisation. In other words, since a real physical motion of galaxies smears out the quantisation, clusters of galaxies must be relatively ‘quiet’ with very little actual motion except near the cluster centres. This conclusion had already been reached by Halton Arp and some others [H. Arp, “Seeing Red”, p.199 etc, Apeiron].
Third, Mark has stated “that changes in multiple fundamental physical parameters (here c, h, and m) do not provide significant additional evidence that any of them are actually changing.” He then goes on to note that in measuring h, for example, other physical parameters may be involved which may be linked with lightspeed, and so any changes in the official value of lightspeed will also register as changes in h. In this way the trends in the accepted values of h may be explained.
This is an interesting argument. However, closer examination of the proposal reveals that the actual situation is somewhat different. In the vast majority of cases, the value for h was determined by the h/e ratio, where e is the electronic charge, which is a constant. As a result, any random variations in e will only give random variations in h. This leaves the values of h to define a genuine trend with some random variation on top of it. Indeed, Sanders has pointed out that the increasing value of h can only be partly accounted for by improvements in instrumental resolution and changes in the accepted values of other constants [J. H. Sanders, “The Fundamental Atomic Constants”, p.13, Oxford University Press, Oxford, 1965]. In this, Sanders has tacitly admitted that h has increased with time. One anonymous reviewer of the 1987 Report made a similar comment. He stated that instrumental resolution and changing values of other constants “may in part explain the trend in the figures, but I admit that such an explanation does not appear to be quantitatively adequate.” In other words, it is reluctantly admitted that the measured value of h has indeed increased with time in a manner that is independent of changes in other constants or improvement in experimental techniques.
In view of this, Mark’s comment “that changes in multiple fundamental physical parameters (here c, h, and m) do not provide significant additional evidence that any of them are actually changing” is incorrect. Since it is acknowledged by those in the field that the measured value of h has increased with time, then the behaviour of the multiple parameter hc is of vital importance. As noted in the 1987 Report, the measured value of hc by astronomical methods indicates that the parameter is invariant. This is an important contribution to our knowledge of the topic. Since h is measured as increasing, and c has been measured as decreasing, this result can only mean that c varies in a manner that is proportional to 1/h. In other words the decline in c is not proportional to1/h2, nor inversely proportional to the square-root of h, or to any other exponent of h. It limits all c variation to 1/h precisely. Therefore, this result from the data of a multiple fundamental parameter does indeed supply significant new information which must govern our theories.
The other issue that both Paul and Mark raised was the slow-down effect of events on distant objects as light at our reception point on earth is now travelling slower and hence bringing information about events to us more slowly than at the point of emission. They expressed particular concern about the behaviour of Cepheid variables and galaxy rotation rates.
Cepheid variable stars undergo a pulsation that is produced by the behaviour of a thin layer of the star’s material near its surface. This pulsation gives a characteristic curve of variation in light intensity, while the actual period of the variation depends on the size, and hence brilliance of the star. The knowledge that a star with a given luminosity has a set period of oscillation allows these stars to be used as distance indicators. Paul and Mark’s concern is that, if light is slowing down in transit, the pulsation rate that we observe will not be the same as that of the star itself, and hence our distance indicators would be unreliable.
However, a possible answer is discernable. The behaviour of the relevant segment of the star's outer layers is directly linked with its opacity as described by Ostlie and Carroll [‘An Introduction to Modern Stellar Astrophysics,’ Addison-Wesley, 1996]. A brief outline of the subject can be found at
http://www.aavso.org/vstar/vsotm/0802.stm. More specifically, on the Vc model that is being discussed here, stellar opacities can be shown to be dependent on the speed of light. What this means in practice is that any slow-down effect of light in transit will already have been counteracted by a change in the pulsation rate of this layer at the time of emission due to changing opacities. The final result will be that any given Cepheid variable will appear to have a constant period for the light intensity curve, no matter where it is in space and no matter how long we observe it.
The other matter that was raised was galaxy rotation rates. At this point in time, the resolution of that matter depends partly on the outcome of the gravity and mass analysis, which is continuing. In addition, the effects of higher lightspeed on the Doppler equation, coupled with the redshift as an intrinsic property of all distant emitters, and the behaviour of light photons in transit, are all factors that need careful examination before a final answer is given. Until that examination is complete a definitive reply will not be attempted.
Despite the “work in progress” signs, I trust that this gives a feel for the direction that this research is taking.
Barry