Original scientific paper

D2/3 generates more quantum vacuum energy

Rami Ahmad El-Nabulsi ; Department of Nuclear and Energy Engineering, Cheju National University, Ara-dong 1, Jeju 690-756, South Korea

Abstract

It has been shown that within the framework of the fractional spectral triplet action in noncommutative geometry, constructed recently by the author in the sense of Erd´elyi-Kober fractional integral considerations, more quantum vacuum energy per a single mode is generated in the background of the spatially flat FriedmannRobertson-Walker spacetime geometry. Our analyses are based on Broda et al. formalism which uses the coordinate gauge freedom transformations in the Euclidean version of the formalism of effective action. The result is estimated for a particular value of the fractional integral exponent which corresponds to the Raspini fractional Dirac operator of the order 2/3.

Keywords

Erdélyi-Kober fractional integral; fractional spectral triplet action; quantum vacuum energy; accelerated expansion

Hrčak ID:

304601

URI

https://hrcak.srce.hr/304601

Publication date:

1.9.2010.

Article data in other languages: croatian

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