A clock field interacting with matter in a Riemannian 4D space creates emergent Lorentzian patches, replacing the Big Bang singularity with a smooth signature-flip boundary and allowing an almost de Sitter early phase.
Cosmic Evolution in a Cyclic Universe
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abstract
Based on concepts drawn from the ekpyrotic scenario and M-theory, we elaborate our recent proposal of a cyclic model of the Universe. In this model, the Universe undergoes an endless sequence of cosmic epochs which begin with the Universe expanding from a `big bang' and end with the Universe contracting to a `big crunch.' Matching from `big crunch' to `big bang' is performed according to the prescription recently proposed with Khoury, Ovrut and Seiberg. The expansion part of the cycle includes a period of radiation and matter domination followed by an extended period of cosmic acceleration at low energies. The cosmic acceleration is crucial in establishing the flat and vacuous initial conditions required for ekpyrosis and for removing the entropy, black holes, and other debris produced in the preceding cycle. By restoring the Universe to the same vacuum state before each big crunch, the acceleration insures that the cycle can repeat and that the cyclic solution is an attractor.
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Proposes phase-resolved invariant path-length criteria and a master formula for lower bound on ε_ek in ekpyrotic cosmologies, using BKL suppression and conversion windows as constraints.
Dynamical system analysis of Q-SC-CDM model finds stable attractor solution under alternative parameter choice.
citing papers explorer
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The emergent Big Bang scenario
A clock field interacting with matter in a Riemannian 4D space creates emergent Lorentzian patches, replacing the Big Bang singularity with a smooth signature-flip boundary and allowing an almost de Sitter early phase.
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Phase-resolved field-space distance criteria in ekpyrotic, bouncing and cyclic cosmologies
Proposes phase-resolved invariant path-length criteria and a master formula for lower bound on ε_ek in ekpyrotic cosmologies, using BKL suppression and conversion windows as constraints.