  In this work, the effects of non-commutative and commutative vacua on the
phase space generated by a scalar field in a scalar torsion scenario are
investigated. For both classical and quantum regimes, the commutative and
non-commutative cases are compared. To take account the effects of
non-commutativity, two well known non-commutative parameters, $\theta$ and
$\beta,$ are introduced. It should be emphasized, the effects of $\beta$ which
is related to momentum sector has more key role in comparison to $\theta$ which
is related to space sector. Also the different boundary conditions and
mathematical interpretations of non-commutativity are explored.
