Years ago I worked in a preschool. Everynow and then I would be talking to another adult (staff or parent) when I would become aware I was holding this child, I call her Annie. I wouldn't remember picking her up and I'd even ask her "how you get here?" And she would laugh.
Finally, after some weeks of this I caught her trick. When I was deeply focused in conversation she approached to my side just within my peripheral vision and lifted her arms as children do when wishing to be picked up and I just responded by bending down and picking up while still deeply involved in the conversation. Only that time I finally caught what was going on.
Nice story. Yes, that's exactly the kind of experience I was talking about. And from what you and Ifen have said, not so uncommon.
I agree with your later post to iano. I don't believe it's some kind of superhuman ability, either. The unconscious processes seem to be the source of action even when we consciously perceive what we're doing. It's just that sometimes the event happens so fast that conscious processing doesn't have time to complete.
So perhaps these ancient Hindus, Buddhists, and Taoists as well as contemporary awakeners are experiencing an unusual permanent alteration in the way the brain organizes it's functioning? I think that is one possibility.
That wouldn't be entirely surprising, considering the amount of meditating they do. How we use the mind affects how it works. But there may also be an element of sudden insight, a sudden realization of the relationship between things that changes the way you look at the world (as you mentioned in your post to iano).
I used to meditate a lot when I was younger, and I wish I still did. The repeated practise changes the way you respond to the world, but if you stop doing it, you lose those good behavioural habits. However, you do gain a different perspective on the world, and this different perspective stays with you long after you've lost the behavioural changes.
But I'm not a sage, so take my thoughts with a pinch of salt
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The true mystery of the world is the visible, not the invisible