As for the temperature thing, I might be understanding you wrong but I wasn't asking how I would scientifically explain the concept of being able to keep a constant temperature, but rather what would happen if a character who had that sort of power was in any of the three circumstances listed and why that might be so. If you were addressing one of the three or something, then I apologize for not realizing this since it's kind of difficult to understand exactly which part of 'the former' you are talking about.

For the acoustic levitation, again I'm not quite sure what you're trying to address. Maybe I shouldn't have used that X-Men example, but I was referring to suspending objects from gravity, that is, levitation rather than being able to making things fly in the sense of giving an object freedom to move about in space and I do apologize for any misconceptions. To iterate, I was asking what would i seemingly [as in, role play-wise] require in order to do what I believe you are referring to as being crazy and why that could be so. On that note I'm not sure what part of using a myriad of such waves to lifting oneself is crazy; does it create enough force upon oneself to the point of physical harm, or does it somehow create a tear in the fabric of the universe and ultimately cause the world to collapse or something?