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Cosmology Solved?
If *changes in* length and time are quantised at the Planck level, then
many problems (e.g. the size of the cosmological constant) are solved. Maybe. http://arxiv.org/abs/1209.5386 --John Park --------------- Janus, a novel http://chizinepub.com/books/janus.php |
#2
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Cosmology Solved?
On 26/09/2012 2:14 AM, John Park wrote:
If *changes in* length and time are quantised at the Planck level, then many problems (e.g. the size of the cosmological constant) are solved. Maybe. http://arxiv.org/abs/1209.5386 Discrete space-time is something I personally believe in. But how exactly is the cosmological constant related to the Planck scale? Yousuf Khan |
#3
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Cosmology Solved?
Yousuf Khan ) writes:
On 26/09/2012 2:14 AM, John Park wrote: If *changes in* length and time are quantised at the Planck level, then many problems (e.g. the size of the cosmological constant) are solved. Maybe. http://arxiv.org/abs/1209.5386 Discrete space-time is something I personally believe in. But how exactly is the cosmological constant related to the Planck scale? Yousuf Khan Deiss, the author, emphasises that he's not quantising space and time but only changes in them. You can probably make sense of the argument better than I can, but here's my attempted paraphrase, as I understand what he's doing. He considers the vacuum as a set of harmonic oscillator fields correponding to virtual particles, and asks about the effect of the expansion of the universe subject to his quantisation conditions. The time-quantisation implies that changes in the periods of the oscillators are quantised, and this condition gives a limit on the energy of those oscillators that can respond to the expansion. The space-quantisation in conjunction with the uncertainty principle gives a limit on the momenta of these "interacting" virtual particles. Because of his quantistion model both limits are expressed in terms of Planck quantities. Together the two limits predict a vacuum energy which is a function of the Hubble parameter. He identifies this energy with the dark energy of the universe, AKA the cosmological constant, thus linking the Planck and cosmological scales without the usual 120-order-of-magnitude discrepancy. (And implying that [probably] only virtual photons and three virtual neutrinos are "interacting" particles...with implications for the neutrino masses.) I haven't worked though Deiss's argument in detail, so I hope I'm not misrepresenting him; and I hope this is some help. --John Park --------------- Janus, a novel http://chizinepub.com/books/janus.php |
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