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FIZIKA B 19 (2010) 3, 135-142
 
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
E-mail address: nabulsiahmadrami@yahoo.fr
Dedicated to the memory of Andrea Raspini
Received 23 July 2010 Accepted 25 August 2010
Online 26 January 2011
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 Erdélyi-Kober
fractional integral considerations, more quantum vacuum energy
per a single mode is generated in the background of the
spatially flat Friedmann-Robertson-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.
PACS numbers: 98.80.Hw, 04.90.+e
UDC 524.83, 534.83
Keywords: Erdélyi-Kober fractional integral, fractional spectral triplet
action, quantum vacuum energy, accelerated expansion
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