Fast-forward scheme reexamined: Choice of time and quantization

•The fast-forward scheme is reexamined.•Dirac's homogeneous formalism is succinctly summarized.•Canonical quantization is discussed in different choices of time.•The covariance of the Schrödinger equation under reparametrization of time is shown. The fast-forward scheme for accelerating time evolution of quantum states through change of time is reexamined. Dirac’s homogeneous formalism for classical dynamics and canonical quantization warrant that the Schrödinger equation is covariant under reparametrization of time. From this, it is concluded that the scheme does not attain its objective.