In my initial post, I said I can dream, and have lots of ideas. Many technological wonders we have today, were once imagined at a time they were deemed impossible or improbable. Steve Jobs, in a conversation with Maya Lin at a 1983 design conference where they were both speaking, replied to her when she asked why he didn't make a flat-screen computer, that this was his goal but the technology was not there yet. He was imagining the iPad almost thirty years ago when it was thought to be impossible at the time.
So no, my mug would not need a battery. The energy would be provided by other means. Perhaps by capturing electromagnetism energy that is abundant all around us. As an 11-year-old boy, I built crystal radio sets in the early 1960s. I had no problem tuning in radio staions, without any batteries. Was that amazing?