How Do Modifications in Microphysics Affect Inflationary Cosmology Predictions?

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This discussion focuses on the impact of modifications in microphysics on the predictions of inflationary cosmology, specifically through the lens of a weakly self-coupled scalar matter field minimally coupled to gravity. The analysis reveals that while some modified dispersion relations yield predictions consistent with traditional linear dispersion models, others result in significant deviations, including tilted spectra and oscillatory behaviors. The findings indicate that inflationary cosmology predictions are sensitive to changes in super-Planck-scale physics, challenging the robustness of existing models.

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We calculate the spectrum of density fluctuations in models of inflation based on a weakly self-coupled scalar matter field minimally coupled to gravity, and specifically investigate the dependence of the predictions on modifications of the physics on length scales smaller than the Planck length. These modifications are encoded in terms of modified dispersion relations. Whereas for some classes of dispersion relations the predictions are unchanged compared to the usual ones which are based on a linear dispersion relation, for other classes important differences are obtained, involving tilted spectra, spectra with exponential factors and with oscillations. We conclude that the predictions of inflationary cosmology in these models are not robust against changes in the super-Planck-scale physics.

Comment: 4 pages, 1 figure. One important correction in the Corley/Jacobson case with b_m>0 and some misprints corrected. To appear in Mod. Phys. Lett. A









http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:astro-ph/0005432
 
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Let's take it piece by piece:

We calculate the spectrum of density fluctuations in models of inflation
The density of matter in the universe will fluctuate depending on the physics; the fluctuations will come at various frequencies and the strengths of the fluctuations at each frequency form the spectrum. This can be estimated from the observations of the CMB.

based on a weakly self-coupled scalar matter field minimally coupled to gravity,

They introduce this simple field - it just has a magnitude, like a temperature, not any particle properties - as a surrogate for various microphysics theories (gravitons or quantum gravity theories).

and specifically investigate the dependence of the predictions on modifications of the physics on length scales smaller than the Planck length. These modifications are encoded in terms of modified dispersion relations.

Dispersion relations are the physicists' way to express things like scattering and refraction, typically of light, but also in this case the despersion of those density fluctuations, whose history we can estimate from the CMB data. By varying their field, they can represent different theories of gravity at the Planck scale, and calculate the resulting dispersion relations in each case.

Whereas for some classes of dispersion relations the predictions are unchanged compared to the usual ones which are based on a linear dispersion relation, for other classes important differences are obtained, involving tilted spectra, spectra with exponential factors and with oscillations. We conclude that the predictions of inflationary cosmology in these models are not robust against changes in the super-Planck-scale physics.

And they claim to find a strong effect; some microphysics changes the dispersion relations so that the history of the fluctuations doesn't match what we observe. While this COULD be due to their approximation (that scalar field), it is clearly a suspicious behavior caused by different kinds of microphysics. Thus a possible way to support some of them and falsify others.
 
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Thank you SA,
nd they claim to find a strong effect; some microphysics changes the dispersion relations so that the history of the fluctuations doesn't match what we observe. While this COULD be due to their approximation (that scalar field), it is clearly a suspicious behavior caused by different kinds of microphysics. Thus a possible way to support some of them and falsify others.
 

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