I would like to start a collaboration to investigate the idea that part of time is ontologically ineffable (incommunicable). For example, suppose I communicate to you a mathematical theory of time, e.g. time is like the real line. You can always counter: that's not a full theory of time, because math objects are timeless/static: you can always imagine a point moving along the real line that selects "the moment" that really exists. But a mathematical model can never account for this behavior, no matter how smart we are. So I'm thinking this may be an ontological phenomenon and not merely epistemological.
If so, this seems to lead to a new interpretation of quantum mechanics: to the extent objects are ontologically distinct, they evolve independently on distinct timelines. In a universe where all information is embodied information, this would lead to (relative) superpositions, since there is no "single time" when everything has a classical state.
I've started some ideas at http://reflectionssonntimee.blogspot.com/