I have a science question floating around in my head, and I am hopeful somebody here can provide some insight.
Hubble's Law, galaxies red shifting, everything is expanding. I'm good with that. However, I feel as though an incredibly important variable has been left out in arriving at the conclusion that the universe is expanding at an accelerating rate based on distance. And that variable is time.
I have heard many times that looking into space is like looking back into time. This, of course, is because it takes time for light to travel. Inevitably, when Hubble looked at the light from galaxies of varying distances, he was also looking at light from varying times. Let's call the amount of time the light has taken to reach Earth the "age" of the light.
To help illustrate what I am trying to say, lets look at a graph of Hubble's Law.
What if the x-axis was converted from distance in mega-parsec to "age" of the light in years? We now have a graph strongly correlating the velocity of recession with the "age" of the light. The older the light, the faster it is (was?) moving.
So which question is Hubble's Law actually answering:
The velocity at which galaxies
move based on how far
away they are?
Or
The velocity at which galaxies
moved based on how far
ago they are?
When we study a fossil from 100 million years ago, we do not conclude that it is a representation of life on Earth in the present. Instead we say, "Wow look at what life on earth used to be like 100 million years ago." The fossils are a portal into the past. So is space light. Instead of looking at 13 billion year old light and saying look at how fast the universe is expanding, should we not, instead, be saying look at how fast the universe was expanding 13 billion years ago?
If viewing the graph in the way I described (essentially a timeline), it paints the picture of a universe that is expanding at a decelerating rate. This also makes more logical sense to me. Big bang, huge amounts of energy being converted into matter, this matter flying off in every direction at astronomical speeds, gravity over billions of years tugging on all this matter trying to bring it back together, matter still getting further apart, but decelerating, and maybe eventually reversing course.
Of course, the universe is under no obligation to make logical sense to me, and the human brain did not evolve with selective pressures on understanding how the universe works.
So I guess my question is:
Does adding time to this problem have any merit?
If so, what is the impact of this? If not, why is time not an integral component of Hubble's Law?
Thanks in advance to anyone who can provide clarity on this for me. I have been searching the internet and found nothing regarding time and its impact on Hubble's Law.