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Inflationary paradigm after Planck 2013

Published 30 Dec 2013 in astro-ph.CO, gr-qc, and hep-th | (1312.7619v2)

Abstract: Models of cosmic inflation posit an early phase of accelerated expansion of the universe, driven by the dynamics of one or more scalar fields in curved spacetime. Though detailed assumptions about fields and couplings vary across models, inflation makes specific, quantitative predictions for several observable quantities, such as the flatness parameter ($\Omega_k = 1 - \Omega$) and the spectral tilt of primordial curvature perturbations ($n_s - 1 = d \ln {\cal P}_{\cal R} / d \ln k$), among others---predictions that match the latest observations from the {\it Planck} satellite to very good precision. In the light of data from {\it Planck} as well as recent theoretical developments in the study of eternal inflation and the multiverse, we address recent criticisms of inflation by Ijjas, Steinhardt, and Loeb. We argue that their conclusions rest on several problematic assumptions, and we conclude that cosmic inflation is on a stronger footing than ever before.

Citations (171)

Summary

An Analytical Review of the Inflationary Paradigm Post-Planck Observational Data

The paper, "Inflationary Paradigm After Planck," authored by Alan H. Guth, David I. Kaiser, and Yasunori Nomura, presents a comprehensive defense and elaboration of the inflationary cosmology model against recent critiques by Ijjas, Steinhardt, and Loeb (ISL). By analyzing the latest data, particularly from the Planck satellite, the authors assert that the inflationary framework remains robust and offers plausible explanations for the early accelerated expansion of the universe.

Key Observational and Theoretical Insights

The authors argue that the predictions made by inflationary cosmology regarding the universe's flatness, primordial curvature perturbations, and Gaussian nature of perturbations align with empirical observations. The Planck satellite data significantly reinforce their argument, tightening constraints on models and parameters such as the scalar spectral index (|ns–1|), depth of potential (r < 0.12), and tensor-to-scalar ratio, making single-field models with plateau-like potentials particularly compelling in contrast to power-law models.

ISL’s critique focuses on the perceived improbability of inflation given these constraints and further explores potential Planck-scale physics that might undermine inflation's success. In response, Guth and colleagues highlight the speculative nature of assumptions regarding Planck-scale physics and emphasize that speculative assumptions should not outweigh the predictive successes of inflationary models, as such assumptions remain beyond current observational validation.

The Multiverse and Eternal Inflation

The authors provide a detailed discussion on the implications of eternal inflation and the multiverse, countering ISL’s claim about the unpredictability associated with a multiverse scenario. While acknowledging the challenges of defining probabilities within an infinitely expansive multiverse, they advocate that existing measures provide an adequate framework for understanding statistical probabilities, although they admit that questions still remain.

Noteworthy is their argument about the necessity of anthropic selection effects in the multiverse, suggesting that observed universe features might be probabilistically favored without anticipatory constraints needing a plateau-like potential.

Addressing Initial Condition and Higgs Potential Concerns

The paper thoroughly tackles concerns regarding the initial conditions needed for inflation and further complexities introduced by potential negative values in the Higgs field at large scales. It posits scenarios wherein prior tunneling events and chaotic potentials might sufficiently account for the onset of observable inflation, even when traditional initial scenario disagreements, as put forth by ISL, are considered.

Moreover, the authors consider the role of high-energy theory advancements, like vacuum structures in string theory, to discuss how these scenarios can accommodate varying initial conditions and potential concerns.

Conclusions and Implications

Guth, Kaiser, and Nomura conclude that the inflationary paradigm is currently stronger than ever, bolstered by both theoretical practice and empirical evidence from the Planck satellite. While acknowledging that open questions remain, especially concerning probabilities in an infinite multiverse and detailed Planck-scale physics, they emphasize these as areas of future research rather than deficits of the inflationary model.

The paper advocates for a continued emphasis on observational validation and theoretical robustness in defining our understanding of the cosmos's earliest moments. It elucidates the idea that inflation not only remains a viable and effective theory, but it also provides an expansive framework within which cosmological advancements can be pursued. Through rigorous scrutiny, the authors project the need for deeper explorations of the multiverse theory and Planck-scale physics to truly delineate the universe's origins, positioning inflation as an indispensable pillar in such explorations.

Ultimately, the insights presented in this work deepen the discourse on cosmic evolution and highlight the crucial intersection of theoretical physics and observational astronomy.

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