Abstract

The current paper presents an alternative hypothesis for the termination of cosmic inflation based on Huang’s model of spacetime involving the movement of a superfluid through a random resistor network. Using this model, we previously derived a mathematical relationship between the velocity of a reference frame and the probability that a random bond is intact. As an extension of this finding, the permutations of open and closed bonds are now shown to represent potential microstates, thus providing a means of relating motion within the network to binary entropy. Applying this concept to cosmic inflation, termination of this process is an expected consequence of the changes in binary entropy associated with the increasing velocity of expansion.

Highlights

  • The idea of cosmic inflation arose from the need to reconcile the homogeneity of the universe with the limitations of the standard model of expansion (Linde, 1983; Linde, 1982; Guth, 1981; Einhorn, Stein, & Toussaint, 1980; Starobinsky, 1979)

  • The rapid supercooling following inflation necessitates an unexplained transition to a “true vacuum” that abrogates the thermodynamic energy associated with inflation

  • We present a model of spacetime that provides an alternative mechanism for cosmic inflation

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Summary

Introduction

The idea of cosmic inflation arose from the need to reconcile the homogeneity of the universe with the limitations of the standard model of expansion (Linde, 1983; Linde, 1982; Guth, 1981; Einhorn, Stein, & Toussaint, 1980; Starobinsky, 1979). With regard to modeling superfluid behavior to encompass inflation, Huang et al proposed that vortices within the fluid become entangled during this process, thereby creating a homogeneous environment consistent with development of an isotropic universe (Huang, Low, & Roh-Suan, 2012) Following inflation, these vortices become separated, allowing for the condensation of matter associated with noninflationary expansion. One advantage of the model is the emergence of a formula for calculating the probability that a random bond is open or closed, based on the velocity of a reference frame within the network (Cantor, 2016) Using this property, it was possible to relate the process of cosmic expansion to the degree of binary entropy within the system, thereby providing a mechanism for the inflationary process

The Inflationary Process
Superfluid Network Model of Spacetime
Modeling Binary Entropy in Cosmic Inflation
Discussion
Conclusions
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