Found a very interesting quote by Frank Sheed on the subject in Theology and Sanity,
Chapter 11, “Aeviternity is the proper sphere of every created spirit, and therefore of the human soul.
But the soul’s special relation to the matter of the human body gives it a necessary and proper relation to continuous time (which is the body’s duration) which other spirits are not troubled by.
At death, this distracting relation to matter’s time ceases to affect the soul,
so that it can experience its proper aeviternity.”
Chapter 24, “Aeviternity, we have seen in chapter xi, is the proper duration of spirit:
in heaven the spirit abides,
with no distracting awareness of moments flowing away,
nor any weariness from needs or powers unsatisfied to make it restless for change,
in the bliss of a total experience.
Even when the body is restored to it at the Last Day,
its awareness of the body’s less perfect hold upon an abiding present will not be a distraction,
for the body will no longer draw the spirit downward to its own lesser level of being.
The detail of this new relation of soul and body is beyond us;
but the reality of it is certain.”
I rephrase my statement I made in another thread about time and space being our way of liturgical worship to God even when we are in our glorified bodies. It would seem that our continuum will be an aevum state but in a spatial way of existence differing from angel’s aevum state of existence.