My personal view actually goes beyond this.
I do not differentiate between Thought and Action, Body and Mind, in the way that people conventionally do. I see that as an obsolete relic of those ages in which our ancestors did not yet know the biological functions of the nervous system.
Our ancestors once believed that the Earth remained stationary and the Sun was in constant revolution about the Earth. This mistake is preserved in our language’s descriptions of ‘sunrise’ and ‘sunset’. (To be fair, on a subjective, practical level, that view still works pretty well for most people. It’s just incorrect. Also, if your practical job is in aerospace engineering, it doesn’t work very well at all.)
In the same way, we’ve inherited this notion of the body as the site of action and the mind, or psyche as the site of thought.
In my view, it is all neural. Mind is, therefore, physical. Body is mental. Abstract, discursive thinking (i.e. the voice, images, and impulses ‘in one’s head’) is definitely embodied and as such represents a type of Action. At the same time, physical movement in space is most definitely neurally-mediated, and as such is a form of Thinking. (Dancers and athletes know the truth of this.)
There is a type of continuum, from subtle to gross; but inclusive of the same basic phenomenon.
A thought, in the conventional sense of ’an act of imagination’ is an action. A vaporous, gaseous type of action. Just like a cloud, given the right conditions it will condense gaining greater substance and force, eventually becoming liquid and then possibly even solid.
This point will seem minor to some; for me, it’s rather important.