https://doi.org/10.1140/epjc/s10052-015-3309-9
Regular Article - Theoretical Physics
Cosmological constant, supersymmetry, nonassociativity, and big numbers
1
Department of Theoretical and Nuclear Physics, KazNU, Almaty, 050040, Kazakhstan
2
IETP, Al-Farabi KazNU, Almaty, 050040, Kazakhstan
* e-mail: v.dzhunushaliev@gmail.com
Received:
13
January
2015
Accepted:
9
February
2015
Published online:
24
February
2015
The nonassociative generalization of supersymmetry is considered. It is shown that the associator of four supersymmetry generators has the coefficient 
where 
is some characteristic length. Two cases are considered: (a) 
coincides with the cosmological constant; (b) is the classical radius of the electron. It is also shown that the scaled constant is of the order of 
for the first case and 
for the second case. The possible manifestation and smallness of nonassociativity is discussed.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
