Can a one-pointed mind and a unified mind alternate?

During meditation i notice that the mind tends to alternate between one-pointedness (breath touching the tip of the nose while breaking off any upcoming thought) and classifying upcoming thoughts into thoughts about the past, future and related to ego, before breaking off the thought, or observing the upcoming and cessation of all sensations in the realm of body and mind while always keeping adhithanna in posture. Is this inconsistent or can a unified and one-pointed mind exist alternately or even simultaneously?