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The Trans-Planckian Problem of Inflationary Cosmology
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The Trans-Planckian Problem of Inflationary Cosmology
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In most current models of inflation based on a weakly self-coupled scalar matter field minimally coupled to gravity, the period of inflation lasts so long that, at the beginning of the inflationary period, the physical wavelengths of comoving scales which correspond to the present large-scale structure of the Universe were smaller than the Planck length. Thus, the usual computations of the spectrum of fluctuations in these models involve extrapolating low energy physics (both in the matter and gravitational sector) into regions where this physics is not applicable. In this paper we demonstrate that the usual predictions of inflation for the spectrum of cosmological fluctuations do indeed depend on the hidden assumptions about super-Planck scale physics. We introduce a class of modified dispersion relations to mimic possible effects of super-Planck scale physics, and show that in some cases important deviations from the usual predictions of inflation are obtained. Some implications of this result for the unification of fundamental physics and early Universe cosmology are discussed.
Forward citations
Cited by 6 Pith papers
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Precision Inflationary Predictions: Impact of Accurate End-of-Inflation Dynamics
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Computes perturbation amplitudes in general effective multi-field inflation without sub-horizon limit and bounds higher-derivative corrections via ε for finite-cutoff models.
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Non-Bunch-Davies initial conditions substantially improve the fit of various single-field slow-roll inflation models to updated n_s-r constraints from ACT DR6 combined with Planck, DESI, and BICEP/Keck data.
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Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
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Primordial power spectrum reconstructions from BOSS + eBOSS
Non-parametric knot-based reconstruction of the primordial power spectrum P_R(k) from BOSS+eBOSS data up to k=0.3 h/Mpc favors a quasi-scale-invariant power law and constrains n_s = 0.976 ± 0.021 with no evidence for ...
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Long inflation screens Euclidean wormhole initial states from the CMB, turning them into Bunch-Davies predictions and providing a bound on inflationary duration via visibility limits on Bogoliubov excitations.
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