What Does Redshift and Scale Factor Tell Us About the Size of the Universe?

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Discussion Overview

The discussion revolves around the relationship between redshift (##z##) and the scale factor (##a(t_e)##) in cosmology, particularly focusing on what these concepts imply about the size of the universe at different epochs. Participants explore theoretical implications, numerical examples, and the limits of redshift values.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant defines the relationship between redshift and scale factor, suggesting that a redshift of ##z=2## implies the universe was ##\frac{1}{3}## times its current size.
  • Another participant questions the assumption that there should be a significant difference between redshifts of ##z=2## and ##z=6##.
  • A different participant proposes that at a maximum redshift of ##z=10##, the universe would have been significantly smaller, estimating a current scale of 45 billion light years compared to a much smaller size in the past.
  • Some participants assert that the maximum value of redshift is not limited to 10, referencing the Cosmic Microwave Background Radiation (CMBR) which has a redshift of ##z=1089##.
  • One participant cites external sources that suggest redshift can be as high as 10, but another counters that this does not preclude the existence of higher redshifts.
  • There is mention of the evolution of galaxies and the observation limitations regarding high redshift values, indicating that while redshifts larger than 10 may exist, they are not commonly observed.

Areas of Agreement / Disagreement

Participants express differing views on the maximum possible value of redshift, with some asserting it can exceed 10 while others believe it is capped at that number. The discussion remains unresolved regarding the implications of redshift values on the size of the universe.

Contextual Notes

Participants reference various sources and numerical examples, but there are uncertainties regarding the assumptions made about redshift and the corresponding scale factors. The discussion includes speculative reasoning about the implications of redshift on cosmic size.

Who May Find This Useful

This discussion may be of interest to those studying cosmology, astrophysics, or anyone curious about the implications of redshift in understanding the universe's expansion and size at different epochs.

Arman777
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We can define the relationship between ##z## and ##a(t_e)## as,

$$1+z=\frac {a(t_0)=1} {a(t_e)}$$

When we assume ##z=2##, it means that ##a(t_e)=\frac {1} {3}##

Is this means that universe was ##\frac {1} {3}## times smaller then now ?

If its the case then let's suppose ##z=6## which means universe was ##\frac {1} {7}## times smaller, but even in this case it doesn't seem a huge difference between ##z=2## and ##z=6##. But I think there should be a lot of difference.

I am not sure what am I missing.

Thanks
 
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Arman777 said:
But I think there should be a lot of difference.
Why?
 
Orodruin said:
Why?
The largest value of z can be 10 and it that case universe was 1 billion years old maybe more young like a 500 million years old. I am not sure but in any case.

Lets suppose ##z=10##, in that time let's suppose radius of OU is ##r## and now its ##11r##?
Cause I was espanding like ##10^10## difference cause universe was so young those times.

For a current scale of the OU is 45 billion light year. 11 times smaller means 4 billion light year. But I was expanding like a million light year or maybe less If I think the time scale which it grow 11 times bigger in 13 billion years ?

I am not sure how can I explain it.
 
Arman777 said:
The largest value of z can be 10
The CMBR is z = 1089. There is no upper limit for z.
 
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Arman777 said:
The largest value of z can be 10
Why do you think that z cannot be larger than 10? It is false. The redshift at the last scattering surface is about 1000.
 
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They are studying galaxies. It took some time for galaxies to evolve and you will not find galaxies with a redshift of z = 1000. This does not mean that redshifts larger than 10 does not exist.
 
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Thanks for your replies. I understand it now
 

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