Starting from Einstein
Since Einstein we carry one picture: space and time are one thing, bent by gravity. Matter tells space how to curve. Space tells matter how to move. It works beautifully — planets, black holes, gravitational waves. Half a century of documentaries stands on this photo.
But one question isn't on the photo: where did that space come from in the first place? Einstein treats it as a given stage on which everything plays out. The universe is allowed to swap one backdrop for another — inflation, big bang, dark energy — without us having to explain what holds the stage itself.
A different reading of the same film
τ-geometry proposes another reading. Time is not a line. It's a complex number — with a real part (what clocks measure) and an imaginary part (what shows up when things go quantum). And space? Space isn't a container. Space is what remains when those two parts have been talking long enough.
Sounds abstract, but it leads somewhere concrete. The theory predicts how many "inflationary gravitational waves" should show up in the microwave background — a number that the Japanese LiteBIRD mission will measure around 2032. Either they'll be there or they won't. That's no longer metaphor; that's an experiment.