"... making self-surrender (one's) object of thought, (one) lays hold of concentration, lays hold of one-pointedness of mind."
(SN V 2 , Pali Text Society volume 5 pg 175-176)
So here is an intent described by Gautama (long before anyone called him the Buddha) connected with concentration. To my mind, the phrase "self-surrender" concerns the doer of action, hence: "by making the surrender of voition in action the object of thought, one lays hold of concentration, one lays hold of one-pointedness of mind."
Evidence that action can take place in the absence of volition is clear in the action of persons under hypnosis. That such action without volition takes place in a state between waking and sleeping in normal everyday life has been the nature of my experience.
Concerning the eight-fold path, Gautama said this:
"(Anyone)…knowing and seeing eye as it really is, knowing and seeing material shapes… visual consciousness… impact on the eye as it really is, and knowing, seeing as it really is the experience, whether pleasant, painful, or neither painful nor pleasant, that arises conditioned by impact on the eye, is not attached to the eye nor to material shapes nor to visual consciousness nor to impact on the eye; and that experience, whether pleasant, painful, or neither painful nor pleasant, that arises conditioned by impact on the eye—neither to that is (such a one) attached. …(Such a one’s) physical anxieties decrease, and mental anxieties decrease, and bodily torments… and mental torments… and bodily fevers decrease, and mental fevers decrease. (Such a one) experiences happiness of body and happiness of mind. (repeated for ear, nose, tongue, body, and mind).
Whatever is the view of what really is, that for (such a one) is right view; whatever is aspiration for what really is, that for (such a one) is right aspiration; whatever is endeavour for what really is, that is for (such a one) right endeavour; whatever is mindfulness of what really is, that is for (such a one) right mindfulness; whatever is concentration on what really is, that is for (such a one) right concentration. And (such a one’s) past acts of body, acts of speech, and mode of livelihood have been well purified.
(Majjhima-Nikaya, Pali Text Society volume 3 pg 337-338, ©Pali Text Society)
In my own writing, I put it this way:
'The abandonment of activity in the body that is occasioned by “making self-surrender the object of thought” will at some point touch on the habitual activity connected with the movement of breath, and at the moment the breath is “cut off” in the surrender of activity, relaxation brings a return to the senses without the application of thought applied and sustained.'
I would say that heart-felt belief and intuition suggest the action when habitual activity connected with the movement of breath ceases, but it's really just the movement of breath in a return to the senses.