Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

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SUMMARY

The forum discussion centers on the assumptions underlying the Hawking-Penrose Singularity Theorem established in 1970. Key assumptions include the validity of general relativity, the universe's expansion rate, and its matter-energy content. The discussion highlights that dark energy and inflation violate the energy conditions necessary for the theorem's applicability. Recent findings challenge the notion of a dark energy-dominated universe, suggesting that the singularity theorem may still hold under certain conditions.

PREREQUISITES
  • Understanding of general relativity and the Einstein Field Equations
  • Familiarity with the Friedmann models of cosmology
  • Knowledge of energy conditions in cosmological contexts
  • Awareness of the implications of dark energy and inflation on cosmic evolution
NEXT STEPS
  • Study the implications of dark energy on the energy conditions in cosmology
  • Examine the role of inflation in the early universe and its impact on singularity theorems
  • Research the latest findings on Type Ia supernovae and their implications for cosmic expansion
  • Explore the mathematical techniques used in the Hawking-Penrose 1970 paper
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Astronomers, physicists, cosmologists, and students of theoretical physics seeking to understand the foundational assumptions of the Hawking-Penrose Singularity Theorem and its relevance to modern cosmology.

  • #31
Cerenkov said:
With all due respect Peter, I did not make the term semiclassical up.
You did as far as mathematical theorems are concerned. None of your references use the term that way. They all use the term as a way of describing models that are used in physics, not mathematical theorems.
 
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  • #32
PeterDonis said:
You did as far as mathematical theorems are concerned. None of your references use the term that way. They all use the term as a way of describing models that are used in physics, not mathematical theorems.

Now that you've clarified things I can what you mean.

But your statement, ' Nobody in the literature actually uses them' was insufficiently clear.

If you had written, 'Nobody in the literature actually uses them THE WAY YOU DO', that would have been clearer.

Had you done that then I would have simply accepted your expertise and then asked you what the proper way of using these terms was.


But I can now see that my one question about the BGV is the result of incorrect understanding on my part.

So I thank you for your help Peter and I have no further questions.


Cerenkov.
 
  • #33
Cerenkov said:
your statement, ' Nobody in the literature actually uses them' was insufficiently clear.

If you had written, 'Nobody in the literature actually uses them THE WAY YOU DO', that would have been clearer.
Here is what I said:

PeterDonis said:
"Purely classical" and "semi-classical" regarding theorems are just terms you made up. Nobody in the literature actually uses them.
Note the bolded text, which is crucial.
 
  • #34
Yes, that's not in dispute here, Peter. Thanks to your guidance I now see what I did.

The issue is how you corrected me.

Technically you are 100% correct. I did 'make up' things in the way you pointed out.

But that is not the be all and end all of the issue.

You are the tutor and I am the student - but we are both human beings and respect is a two-way street.

Therefore, respectfully, I submit that you telling me, albeit in a technically correct way, that I'm making things up, was perhaps not the best way of handling the point on a person-to-person level.

Can you at least meet me halfway on this?


Thank you,

Cerenkov.
 
  • #35
Cerenkov said:
Thanks to your guidance I now see what I did.
Ok, good.

Cerenkov said:
I submit that you telling me, albeit in a technically correct way, that I'm making things up, was perhaps not the best way of handling the point on a person-to-person level.
I'll try to keep that in mind for the future.
 
  • #36
Once again, thank you for your help, your guidance and your instruction, Peter.

I really appreciate the time and effort you've put in to help me along.

All the best,

Cerenkov.
 

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