No matter what the manifestations, stage presence results from enjoying (or at least appearing to enjoy) what you're doing.
On the other hand, I've seen performers who seem to hate what they're doing. And you could call that stage presence too ... but not an attractive one.
The least stage presence, I suppose, would come from total apathy.
I agree. Which makes it all the more interesting to me

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I have a lot of thoughts on this, but none that I ever organized, so I hope this post makes sense

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I am a strong believer that fear and anxiety can be worked with and channeled into stage presence. Its energy, and when worked with can make people glow. That takes acceptance of the fear however, and practice with not having that deer in the headlights look on one's face.
Confidence is another essential element too, IMO. Not cockiness. Just certainty that we can do the job well.
I'll add that I've learned that presence doesn't mean jumping around like an idiot either

, though that can sometimes help. Michael Jackson used to stand for 5 minutes not moving a muscle at the start of some concerts, and the presence he gave off could blow up a room. I've seen lots of performers like that. For whatever reason, they just light up a stage by standing on it.
If someone DOES want to add to their performance, which I think is a good thing, 2 things have helped me. I suffer from the above mentioned stage anxiety (and doubt it will ever change), and because of that, used to be pretty stiff on stage. I was always a big Jimmy Hendrix fan, and wanted what he had. Watching him somehow inspired me to draw all the shades, lock my doors, and start practicing whatever songs I was doing getting into every position imaginable. I'd play them super slow, too... dancing, jumping, climbing, getting in the weirdest positions and basically doing whatever possible to free me up with the bass. The goal wasn't to look good, but to meld with my instrument like Hendrix did. Never got there, but got lots more comfortable.
The other thing that was recommended was to practice being able to recognize the songs we were doing by watching a video only, with no sound. Makes for some interesting practice.
And with all that being said, I'm gonna spit some truth out. There was a gig I played a while back that only recently got posted on YouTube. For a plethora of reasons (no sleep, former band members being present, no time to review before gig, and a bunch of other issues that were out of my control) I was absolutely terrified. I locked myself in a bathroom, prayed, and moved forward. The anxiety didn't go away, but I was practiced in channeling it. This is that gig. Kinda felt like being on a roller coaster: