In the expanding model, there are four factors of (1+z). 1 for the decrease in energy, 1 for the reduced rate at which photons arrive, and 2 for the increased trip of the photons through space.
In a static model, let's say tired light from the 1930's, light still always traveled at c and never lost energy on its own, it was thought maybe it hit dust. The dust makes the pictures blurry, which would be observed, so tired light (1930's) is ruled out.
What you and I seem to think is possible is almost always instantly called tired light and dismissed from mind, despite being different models.
The (1930's) tired light model has static space, and a photon always moving at c. It loses its energy via the hypothetical dust interactions and that's one factor of dimming. There are three missing.
Now consider a model where the photon's speed is c - H * d. In this model, the energy decreases, and the time it takes for a photon to make the journey increases with distance.
In other words, in "tired car" model (analog to 1930's tired light), it takes a car traveling at 60 mpg an hour to travel to a location 60 miles away.
Then there is the standard model, call it "expanding road". The car still travels at 60 mph, but the destination is receding away. Therefore, the trip is longer than hour.
Now, a novel model, the finite car model. Unlike the other models, the car itself can't travel to infinity. The road isn't expanding and the destination stays put, nothing gets in its way, but the car doesn't travel forever, it (figuratively) runs out of gas and coasts.
If its speed is 60 mph - H * D, then it will take it take longer than an hour. The same amount as if the road were expanding.
Now imagine, you had 1000 of these cars, and you sent a new one toward the destination every 10 minutes.
If the road is not expanding, and the car is coasting it, each car coasts in 10 minutes apart. This model has 3 factors of (1+z).
If the road were expanding, the cars would reach the destination at increasingly larger intervals. The rate of their arrival is the 4th dimming factor.
We have slightly different models. You've obviously put more thought into yours, but I still like mine better, though I entirely admit I haven't studied the implications of either.
Your model challenges two fundamental assumptions, and mine only does one.
For my model, the speed of light remains constant, but the energy of the photon decreases as it travels. A photon is a car fueled with itself, slowly burning itself up, though I'm not committed to it entirely burning itself up in the limit.
I wouldn't think this would have anything to do with "dust&q...
I am submitting this on behalf of MazeHatter, who originally posted it here in the most recent open tread. Go there to upvote if you like this submission.
Begin MazeHatter:
I grew up thinking that the Big Bang was the beginning of it all. In 2013 and 2014 a good number of observations have thrown some of our basic assumptions about the theory into question. There were anomalies observed in the CMB, previously ignored, now confirmed by Planck:
http://www.esa.int/Our_Activities/Space_Science/Planck/Planck_reveals_an_almost_perfect_Universe
We are also getting a better look at galaxies at greater distances, thinking they would all be young galaxies, and finding they are not:
http://carnegiescience.edu/news/some_galaxies_early_universe_grew_quickly
http://mq.edu.au/newsroom/2014/03/11/granny-galaxies-discovered-in-the-early-universe/
B. D. Simmons et al. Galaxy Zoo: CANDELS Barred Disks and Bar Fractions. Monthly Notices of the Royal Astronomical Society, 2014 DOI: 10.1093/mnras/stu1817
http://www.sciencedaily.com/releases/2014/10/141030101241.htm
http://www.nasa.gov/jpl/spitzer/splash-project-dives-deep-for-galaxies/#.VBxS4o938jg
Although it seems we don't have to look so far away to find evidence that galaxy formation is inconsistent with the Big Bang timeline.
http://www.natureworldnews.com/articles/7528/20140611/galaxy-formation-theories-undermined-dwarf-galaxies.htm
http://arxiv.org/abs/1406.1799
Another observation is that lithium abundances are way too low for the theory in other places, not just here:
http://news.nationalgeographic.com/news/2014/09/140910-space-lithium-m54-star-cluster-science/
It also seems there is larger scale structure continually being discovered larger than the Big Bang is thought to account for:
http://www.sciencedaily.com/releases/2014/11/141119084506.htm
D. Hutsemékers, L. Braibant, V. Pelgrims, D. Sluse. Alignment of quasar polarizations with large-scale structures. Astronomy & Astrophysics, 2014
http://www.sciencedaily.com/releases/2013/01/130111092539.htm
These observations have been made just recently. It seems that in the 1980's, when I was first introduced to the Big Bang as a child, the experts in the field knew then there were problems with it, and devised inflation as a solution. And today, the validity of that solution is being called into question by those same experts:
http://www.physics.princeton.edu/~steinh/0411036.pdf
What are the odds 2015 will be more like 2014 where we (again) found larger and older galaxies at greater distances, or will it be more like 1983?