MikeBeer said:
I understand what you are saying. However, say we were in the time reference of your second race, but were watching the first race. Yes, at the instant they happened both took 10 seconds to run 100 meters, but we are actually looking at the past the further we look since the speed of light is constant, so the first runner would appear to move faster than 10m/s. You are right, we certainly wouldn't notice it, but looking further into space, ie back in time, we would see how fast time was "running." Consequentially, he is talking about time slowing, not light. The way I interpret it, Senovilla is basically saying that what we are seeing far away is in "fast forward," so time must be slowing down. However, from what I've read and from my limited understanding, this doesn't account for more "local" affects, such as the high acceleration of galaxies. I hear they are publishing a paper in late '09, so that should be interesting to read.
Hi Mike, yes, you've pointed out the flaw in my argument! You're quite right if we're in our present-day frame of reference and we measure the time between two events in the distant speeded-up past then we will indeed see that time has slowed down. Good point.
However ... we're not measuring time between two events to find how quickly those distant galaxies are receding - we're measuring a length: the redshifted wavelength of light from those galaxies. And that length we measure will be unaffected when we look back into that speeded-up past - all measured lengths would be unaffected by time speeding-up. The only http://en.wikipedia.org/wiki/Dimensional_analysis" being modified is time, and that is completely independent of length.
Considering light emitted by those galaxies, Wavelength = speed / frequency. If speed and frequency are both doubled (twice as fast), the wavelength is unaltered.
Basically, if we could look into the past we would see everything happening twice as fast - people running around twice as fast (as you suggest) - but the scene would "look OK": no lengths would appear to be distorted, and the colours would be correct. The wavelength of light from the scene would not be redshifted.
So if the Hubble telescope could just sit there and
watch those distant galaxies receding then it would indeed see accelerating galaxies as you suggest - everything speeded-up. That is what Senovilla appears to be suggesting. However, Hubble (and therefore we humans) can't do that. Hubble just has to take an instantaneous photograph and look at the redshifting. So Senovilla's theory cannot explain the apparent accelerating universe which we detect from our Hubble evidence.
That's what I reckon anyway. We would not detect any redshifting due purely to time speeding-up. Any redshifting would have to be caused by genuine physical acceleration. I might well be confused - it's very mind-bending stuff.
I had a look a Senovilla's paper - not easy reading, basically saying that cosmic time is slowing down and will disappear due to it curving round and becoming Euclidean - like in the No Bounday proposal:
http://www.ipod.org.uk/reality/reality_hartle_hawking4.gif
His account http://www.dailygalaxy.com/my_weblog/2008/01/scientist-says.html" is clearer.
skypunter said:
The acceleration (not slowing) of time would more sensibly and simply account for the apparent expansion of the universe. Light emitted long ago under a slower universal clock would appear to be of a longer wavelength under todays faster universal clock.
No, considering Wavelength = speed / frequency, the frequency would be halved in the past as you suggest, but the speed of light in the past would also be halved (
everything is affected if "time itself" slows down - even the speed of light!). So the measured wavelength would be unaltered.