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A new kind of cyclic universe (1904.08022v1)

Published 16 Apr 2019 in gr-qc, astro-ph.CO, and hep-th

Abstract: Combining intervals of ekpyrotic (ultra-slow) contraction with a (non-singular) classical bounce naturally leads to a novel cyclic theory of the universe in which the Hubble parameter, energy density and temperature oscillate periodically, but the scale factor grows by an exponential factor from one cycle to the next. The resulting cosmology not only resolves the homogeneity, isotropy, flatness and monopole problems and generates a nearly scale invariant spectrum of density perturbations, but it also addresses a number of age-old cosmological issues that big bang inflationary cosmology does not. There may also be wider-ranging implications for fundamental physics, black holes and quantum measurement.

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Summary

  • The paper introduces a cyclic universe model that blends ultra-slow contraction with classical non-singular bounces to produce deterministic cosmic cycles.
  • Its methodology uses ekpyrotic contraction to smooth and flatten the universe, generating a nearly scale-invariant density spectrum without quantum singularities.
  • The model implies exponential scale factor growth with each cycle, diluting entropy and offering testable predictions for inflation and cosmic censorship.

An Overview of "A New Kind of Cyclic Universe"

The paper "A New Kind of Cyclic Universe" by Anna Ijjas and Paul J. Steinhardt introduces a novel approach to cyclic cosmology that blends periods of ultra-slow contraction with classical non-singular bounces. This proposal leads to a repetitive cosmic cycle where the Hubble parameter, energy density, and temperature oscillate periodically, yet the scale factor increases exponentially with each iteration. This model not only readdresses classical cosmological problems—such as homogeneity, isotropy, flatness, and the monopole issue—but also generates a nearly scale-invariant spectrum of density fluctuations under deterministic conditions.

Key Features of the Novel Cyclic Model

The cyclic model diverges significantly from traditional cosmological cycles in its behavior concerning the scale factor and the Hubble parameter. The cyclic behavior of the Hubble parameter oscillates between positive and negative values, yet the scale factor grows exponentially over cycles. This growth primarily occurs due to the significant increase during expansion phases, juxtaposed with minimal reduction during contraction. This characteristic allows the model to bypass the need for a quantum bounce at high density, avoiding cosmic singularities and potential obstructions by merging macroscopic bodies such as black holes.

A critical feature of this model is that contraction phases involve ultra-slow ekpyrotic contraction, characterized by a very high equation-of-state parameter, which ensures classical, non-quantum evolution throughout. In this regime, homogeneity, isotropy, and flatness are achieved through the robust smoothing and flattening effects of the scalar field responsible for the contraction. These factors lead to a classical resolution of the potential singularity issues. The energy density, at no point reaching quantum dominance, eliminates the trans-planckian problem and precludes a multiverse scenario.

Mechanisms and Implications

The fundamental ingredients of the cyclic universe model involve conventional matter and energy, with the novel integration of ekpyrotic fields and classical bounce mechanisms. Unlike previous cyclic theories that lean on higher-dimensional constructs, this model remains grounded within a classical 4D spacetime framework.

This cyclic cosmology is well-suited to resolve several foundational problems inherent in earlier models. Scalar field dynamics drive a decrease in H(t)H(t) during contraction, followed by a stable bouncing mechanism that ensures a deterministic, cyclic sequence devoid of significant quantum corrections—a condition favoring testable predictions rather than speculative outcomes. Consequently, it presents model-specific predictions related to inflation, such as negligible primary tensor fluctuations and secondary tensor fluctuations yielding r106r \lesssim 10^{-6}.

The cyclical increase in the scale factor proposes intriguing implications for entropy and cosmic evolution, effectively resetting the observable universe with each bounce, while entropy from previous cycles is diluted. The implications extend beyond cosmology, suggesting applications for fundamental physics, such as potential insights into the quantum measurement problem, black holes, and cosmic censorship.

Future Considerations and Theoretical Impact

The proposed model implies a fundamental shift in how quantum effects relate to classical cosmological evolution. The possibility of maintaining classical conditions under high-energy regimes bolsters models that wish to eschew quantum gravitational effects' dominance. This shift opens avenues for exploring generalized cosmic censorship, hinting at a natural propensity for the universe to remain describable by classical physics at macroscopic scales.

By structuring an innovative pathway of cosmic cycles devoid of quantum singularities, the paper opens up plausible directions for refining our understanding of cosmology while remaining anchored in empirical science. Future developments may continue refining these mechanisms, honing predictions and perhaps uncovering more underlying principles that govern cosmic evolution on grand scales.

In essence, Ijjas and Steinhardt’s cyclic model proposes a systematically coherent alternative to conventional inflationary cosmology and singularity-free models, paving the way for novel interpretations of cosmic history and fundamental physics.

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