I'm working on a new unconventional form of computing called "temporal computing" - as both a PhD and as a fledgling business. The idea is to use delays in time (It's called interval modulation) as the data. I have a video explainer on YouTube https://youtu.be/rXbzJxThgig?si=FYMleAgZ0GMNEqk9. It's a long road building your own computational model and I'm currently looking at Turing completeness, and models of multiplication.

Well, that's certainly an interesting way to save energy in a logic circuit. The problem I see is that you're going to be able to have to save the value in an analog form at some point to do anything other that single bit math.

Perhaps looking at using each transition in a circuit as a bit, instead of level, could be useful as a power saving strategy that could be compatible with existing VLSI fabrication?