https://www.npr.org/sections/health-shots/2013/10/18/2362118...
If you want more info than that, it's easy to google this question and come up with other articles.
>Our analysis showed that norepinephrine also is a key regulator of glymphatic activity and that norepinephrine might be responsible for suppression of glymphatic during wakefulness. [1]https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4636982/
I suspect it would feel something like daydreaming or regular dreaming, or experiencing a serious mental disorder.[1][2]
[1]https://www.medicalnewstoday.com/articles/319846#The-seat-of...
[2]https://www.mdlinx.com/article/what-are-lucid-dreams-and-are...
https://www.audubon.org/news/scientists-finally-have-evidenc...
In some old Western movie -- as in The Wild West with cowboys -- there was a Samurai character who claimed to sleep while they marched somewhere.
I have no idea how to look up a citation supporting the idea that this was a real phenomenon, but I did find this article that I kind of skimmed and I don't think it says anything on the topic I want a citation for and additional googling gets me absolutely nothing of value:
https://www.bbc.com/future/article/20160506-the-japanese-art...
I won't swear that I was "truly" asleep, but I have no memory of the last three miles of that run, nor of climbing into the fartsack.