John86
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interesting website Mat visser has. i really find his papers exciting.
http://arxiv.org/abs/0801.2673
Cosmological particle production in emergent rainbow spacetimes
Authors: Silke Weinfurtner, Piyush Jain, Matt Visser, C.W. Gardiner
(Submitted on 17 Jan 2008)
Abstract: We investigate cosmological particle production in spacetimes where Lorentz invariance emerges in the infrared limit, but is explicitly broken in the ultraviolet regime. Our specific model focuses on the boost subgroup that supports CPT invariance and results in a momentum-dependent dispersion relation. Motivated by previous studies on spacetimes emerging from a microscopic substrate, we show how these modifications naturally lead to momentum-dependent rainbow metrics. Firstly, we investigate the possibility of reproducing cosmological particle production in spacetimes emerging from real Bose gases. We have studied the influence of non-perturbative ultraviolet corrections in time-dependent analogue spacetimes, leading to momentum-dependent emergent rainbow spacetimes. Within certain limits the analogy is sufficiently good to simulate relativistic quantum field theory in time-dependent classical backgrounds, and the quantum effects are approximately robust against the model-dependent modifications. Secondly, we analyze how significantly the particle production process deviates from the common picture. While very low-energy modes do not see the difference at all, some modes "re-enter the Hubble horizon" during the inflationary epoch, and extreme ultraviolet modes are completely insensitive to the expansion.
Can anybody of you help me with following alinea, i am pondering with this one. must i see spacetime emerging from a quantum substratum like Volovik's of the view like a sort of Helium droplet like methaphor ?
http://arxiv.org/abs/0801.2673
Cosmological particle production in emergent rainbow spacetimes
Authors: Silke Weinfurtner, Piyush Jain, Matt Visser, C.W. Gardiner
(Submitted on 17 Jan 2008)
Abstract: We investigate cosmological particle production in spacetimes where Lorentz invariance emerges in the infrared limit, but is explicitly broken in the ultraviolet regime. Our specific model focuses on the boost subgroup that supports CPT invariance and results in a momentum-dependent dispersion relation. Motivated by previous studies on spacetimes emerging from a microscopic substrate, we show how these modifications naturally lead to momentum-dependent rainbow metrics. Firstly, we investigate the possibility of reproducing cosmological particle production in spacetimes emerging from real Bose gases. We have studied the influence of non-perturbative ultraviolet corrections in time-dependent analogue spacetimes, leading to momentum-dependent emergent rainbow spacetimes. Within certain limits the analogy is sufficiently good to simulate relativistic quantum field theory in time-dependent classical backgrounds, and the quantum effects are approximately robust against the model-dependent modifications. Secondly, we analyze how significantly the particle production process deviates from the common picture. While very low-energy modes do not see the difference at all, some modes "re-enter the Hubble horizon" during the inflationary epoch, and extreme ultraviolet modes are completely insensitive to the expansion.
Can anybody of you help me with following alinea, i am pondering with this one. must i see spacetime emerging from a quantum substratum like Volovik's of the view like a sort of Helium droplet like methaphor ?
PHP:
We investigate cosmological particle production in spacetimes where Lorentz invariance emerges in the infrared
limit, but is explicitly broken in the ultraviolet regime. Thus these models are similar to many (but not all)
models of quantum gravity, where a breakdown of Lorentz invariance is expected for ultraviolet physics around
the Planck / string scale. Our specific model focuses on the boost subgroup that supports CPT invariance and
results in a momentum-dependent dispersion relation. Motivated by previous studies on spacetimes emerging
from a microscopic substrate, we show how these modifications naturally lead to momentum-dependent rainbow