Emergence of maximal acceleration from non-commutativity of spacetime

In this paper, we show that the causally connected $4$-dimensional line element of $\kappa$-deformed Minkowski space-time induces an upper cut-off on proper acceleration and derive maximal acceleration, valid up to first order in deformation parameter. We find a contribution which is independent $\hbar$ thus signals effect non-commutativity alone. also construct geodesic equation obtain its Newtonian limit, Using this, constrain non-commutative parameters present expression for acceleration. analyse different limits discuss implication temperature. bound