Lino said:
Marcus, Can I just confirm, are you saying that for a particular such explosion, with a particular z, the timing difference between the expected day 5 events and the expected day 15 events is growing at a significant rate (i.e. it can reasonably be observed - not the 1/139% over a million years)?
I would have expected that, for a particular explosion, the difference in timing between the day 5 and day 15 events would have been 10 day plus a tiny (unmeasurable) amount.Regards,Noel.
The reason is that the base distance you are calculating a percentage of is large. I will only do a crude approximate calculation using simple percentages.
First, what was the recession rate back at z=1? You know that corresponds to a stretch ratio 1+z which in Jorrie's calculator is called S. In this example S=2 (wavelengths get doubled on their way to us.)
So go here:
http://www.einsteins-theory-of-relativity-4engineers.com/CosmoLean_A25.html
put a 2 in the upper limit box, and press calculate.
You will see that the LOOKBACK time is approximately 8 billion years. This is the time it takes light to reach us from the explosion.
A small fractional change in DISTANCE THEN will correspond to
roughly the same small fractional change in Lookback time. Placing an event farther away increases the time it takes light to reach us.
But you will also see that from the same calculator output table that the HUBBLE TIME back then was about 8 billion years.
So when you let
one day pass during the explosion distance then increases by the fraction (1 day)/(8 billion years)
And that causes the lookback time to increase by about the same fractional amount.
The lookback time is 8 billion years and the fraction is (1day)/(8 billion years). Multiply the two together and you get
1 day.
So the news reaches us after TWO DAYS, for two reasons: we are watching the second day of the explosion so the event occurred one day later, but also what we are watching was FARTHER by a certain small fractional amount and so the time it took light to reach us was one day more.
The second effect you can think of as a direct experience of expansion. Distances to galaxies increase and so we can compare this way and see that a day later the galaxy we are looking at is a certain amount farther----because the light took longer to reach us.
I only say this to respond to that guy's (Mr. Grounded) OP question. He said could we look at a Cepheid some years later and tell it was farther. I think we could but I don't know of the research. However astronomers also use Supernovae the same way, as distance marker "standard candles". And they are ALWAYS looking at the 60 day lightcurve history of the explosion. And they are ALWAYS seeing that history get stretched out (by Jorrie calculator "stretch ratio" S, or by 1+z if you like). So I'm telling that guy yes we do see this all the time, but with Supernovae, if not with Cepheids. It comes free with them and would be more work and take more time with Cepheids, I think.
The schedule of natural process gets stretched just the same ratio the lightwaves get stretched.
We know the 60 day schedule of Type 1A SN explosion from watching near ones which are not stretched out so much. The Type 1As are all pretty much the same (as you know but the OP Mr. Grounded may not) because they blow at a critical mass and so that is why they are used as standard-brightness "candles" to mark distance.