Recent content by Antizzio

  1. A

    Graduate Quaternionic Rays instead of Complex

    The whole theory is in my "5 contemporary problems in cosmology" post above.
  2. A

    Graduate Quaternionic Rays instead of Complex

    That's what we need isn't it? Lebesque 3-volume increases, density goes down. Again, no wonder: my yapping about cosmology has not been published or even mentioned anywhere except this particular thread (since you deleted it from Cosmology on this forum). As far as I know Trifonov's papers have...
  3. A

    Graduate Quaternionic Rays instead of Complex

    It predicts a specific type of metric, it still can have free parameters.
  4. A

    Graduate Quaternionic Rays instead of Complex

    It free in the sense that his theory does not predict the specific function, it describes a range of theories parameterized by a(t). It only predicts the dimensionality, topology, metric and a few other things. It may not be as breathtaking as assigning "operators phi(x0,x1,x2,x3,x4,x5,.......)...
  5. A

    Graduate Quaternionic Rays instead of Complex

    Because you specified the frame. I believe the scale factor is the only free parameter in his framework.
  6. A

    Graduate Quaternionic Rays instead of Complex

    This makes sense on it's own, it does not need "to be made to make sense". BTW, he does not need to focus on "defining" two notions of volume, they are natural structures already build in. But what about those 5 cosmological problems? Can you take a whack at them, as a cosmologist, since you are...
  7. A

    Graduate Quaternionic Rays instead of Complex

    3-volume has no absolute meaning in GR (it is frame dependennt), only 4-volume does. 3-sphere slice has no "time extension" in the comoving frame, in all other frames it gets it back again (and does not look like a 3-sphere anymore).
  8. A

    Graduate Quaternionic Rays instead of Complex

    Of course it does: each 3-sphere slice is a piece of spacetime and does have 3-volume. But yes, that's what I have been trying to describe, essentially.
  9. A

    Graduate Quaternionic Rays instead of Complex

    The concept of "density" means certain amount of stuff in certain volume. That certain volume is defined by Lebesgue measure. In other words, Lebesgue measure defines volume of every piece of spacetime. BTW, Lebesgue measure is not a function of time, it assigns a nonnegative number (called...
  10. A

    Graduate Quaternionic Rays instead of Complex

    Yes they can. Lebesgue measure is just volume of spacetime, so it represents both matter density and radiation density quite successfully.
  11. A

    Graduate Quaternionic Rays instead of Complex

    I used "matter" as opposed to "vacuum", not as opposed to "radiation".
  12. A

    Graduate Quaternionic Rays instead of Complex

    Not sure what paper you are referring to, but it makes it even more interesting to hear analysis of a cosmologist regarding each of the five contemporary problems mentioned above.
  13. A

    Graduate Quaternionic Rays instead of Complex

    No wonder: this has never been published or even mentioned anywhere except this particular thread. Thank you for your "too early to tell" opinion as a cosmologist, it's very nice of you.
  14. A

    Graduate Quaternionic Rays instead of Complex

    Hourglass Spacetime Toy Model is the Lie group of nonzero quaternions H*. It has the following properties: (1) it is a smooth real differentiable four dimensional manifold; (2) as a Lie group it has a natural bi-invariant Haar measure; (3) it has a natural FLRW metric (with a single free...
  15. A

    Graduate Quaternionic Rays instead of Complex

    Yes, there is That reason is the main point of his work: "Because the logic of the observer is bivalent Boolean"