Recent content by Cerenkov

  1. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    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.
  2. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    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...
  3. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    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...
  4. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    With all due respect Peter, I did not make the term semiclassical up. And I used the expression "purely classical" to distinguish between classical and semiclassical. I may be recalling things inaccurately or misapplying the terms or simply getting confused about matters that are too complex...
  5. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    Apologies for the delay in getting back to you, Peter. But after much thought I think I've whittled my questions down to just one(ish). If the BGV is a purely classical theorem, then can it say anything meaningful about universes that are modelled using inflation theorem? I ask because in...
  6. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    Well, I can see some reasons, Peter. Because you've mentioned the equation of state three times now, along with explanations of the various symbols and technical terms that make it up. Do I follow what you mean and what you're trying to explain to me with them? Honestly, not really. I can...
  7. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    Thank you for clarifying this, Peter. Since the BGV is within the remit of this section I'll return here very soon with my questions. Thanks again, Cerenkov.
  8. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    Thank you, Peter. I think it's worth drawing a line under the issue of the incompatibility of singularity theorem with inflation at this point. Your guidance and explanations are much appreciated. Cerenkov.
  9. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    Thank you Peter. However, I'm floundering a bit here. You could try and explain the symbols and terms if you wanted, but I think I'm unlikely to follow you. Instead, let me say this. For me the core issue is to try and understand (with your help) a little more about the incompatibility of...
  10. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    Hmm... I've only just noticed this, from the introduction of the paper I cited. Introduction. The biggest question in science is the origin of the universe. In the hot big bang paradigm, shortly after the singularity, the universe is assumed to undergo an quasi-exponential expansion phase...
  11. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    Back again, feeling better and thank you for your patience Peter. Returning to your last message, what I seem to see is that the values of all three pressures - matter, radiation and dark energy - exceeding the value of w. (Sorry, but I don't know to insert the correct symbol here.) Which...
  12. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    With apologies Peter, I'm not feeling very well right now and will get back to you asap. Cerenkov.
  13. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    Thank you. Thank you. Now this needs unpacking. If the type 1a finding holds, then our universe doesn't satisfy the condition of accelerated expansion during the last 2 billion years. They imply that accelerated expansion never happened. So dark energy is not the cause of that. It never...
  14. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    Thank you. Thank you. Thank you again. I suspected this was the case. But thank you for confirming it. Cerenkov.
  15. Cerenkov

    Graduate Assumptions of Hawking-Penrose 1970 Singularity Theorem

    Thank you for this, Peter. In my defence I'm only using Hawking's book as a starting point for my line of questions. Cerenkov.