Relativity and Cosmology

   

Predicting the Curvature of the Cosmos, and Point of Volume Contraction in a Big Bounce Scenario

Authors: Christopher Pilot

Assuming a geometrically closed universe, we predict a value for the cosmic curvature, Ω_0=1.001802, a value within current observational bounds. We also propose a thermodynamic heat engine model for the universe, which bypasses the need for an inflaton field. Our model is based on a Carnot Cycle where we have isothermal expansion, followed by adiabatic expansion, followed by isothermal contraction, followed by adiabatic contraction, bringing us back to our original starting point. For the working substance, we focus specifically on the CMB radiation filling the collective voids in the universe. Using this construct, we identify cosmic inflation as the isothermal expansion phase, which lasts just under, 〖10〗^(-35) seconds. The collective CMB volume we see today only increases by a factor of 5.65 times during this process, and homogeneity and perturbations in the CMB are explained. The singularity problem is avoided and we have a clear mechanism for the work done by the cosmos in causing expansion, and later contraction. For scaling laws with respect to the density parameters in Friedmann’s equations, we will assume a susceptibility model for space, where, (χ(a)) ̅, the smeared cosmic susceptibility, decreases with increasing cosmic scale parameter, "a". Within this framework, we can predict a maximum Hubble volume with minimum CMB temperature for the voids before contraction begins, as well as a minimum volume with maximum CMB temperature when expansion starts. The thermodynamic heat cycle deviates from 100% efficiency in converting heat energy into mechanical energy (expansion) by a minuscule amount, namely, 1.033 〖10〗^(-29). The significance of this number is not known.

Comments: 14 pages, 1 Figure, 1 Table

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Submission history

[v1] 2021-02-12 16:42:21

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