Universal Journal of Physics and Application Vol. 8(1), pp. 7 - 9
DOI: 10.13189/ujpa.2014.020102
Reprint (PDF) (187Kb)

If Entropy of Universe Is Entanglement Entropy, Is Entropy Non Zero No Matter How Small Initial Radius Is?

A.Beckwith ^*
Chongqing University, Department of Physics, Chongqing, PRC, 400044

ABSTRACT

When initial radius R approaches zero if we use Stoica actually derived Einstein equations in a formalism which remove the big bang singularity pathology, then the reason for Planck length no longer holds. The implications of the initial radius approaching zero are the first part of this manuscript. Then the resolution is alluded to by work from Muller and Lousto, as to entanglement entropy implications of entanglement entropy. We present entanglement entropy in the early universe with a steadily shrinking scale factor, due to work from Muller and Lousto , and show that there are consequences due to initial entanged entropy for a time dependent horizon radius in cosmology, with for flat space conditions r(H)=conformal time. In the case of a curved, but not flat space version of entropy, we look at vacuum energy as proportional to the inverse of scale factor squared times the inverse of initial entropy, effectively when there is no initial time except with r_H=η in line with the conformal time η being almost zero.The consequences for this initial entropy being entangled are elaborated in this manuscript. No matter how small the initial radial length gets, then for initial cosmological entropy if it is entanglement entropy, initial cosmological entropy will not go to zero.

KEYWORDS
Entanglement Entropy, Vacuum Energy

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] A.Beckwith , "If Entropy of Universe Is Entanglement Entropy, Is Entropy Non Zero No Matter How Small Initial Radius Is?," Universal Journal of Physics and Application, Vol. 8, No. 1, pp. 7 - 9, 2014. DOI: 10.13189/ujpa.2014.020102.

(b). APA Format:
A.Beckwith (2014). If Entropy of Universe Is Entanglement Entropy, Is Entropy Non Zero No Matter How Small Initial Radius Is?. Universal Journal of Physics and Application, 8(1), 7 - 9. DOI: 10.13189/ujpa.2014.020102.