Einstein & Monoid
You know, I was thinking about what would happen to causality if time itself were a vector in a higher‑dimensional space. What do you think?
If time were a vector, causality would no longer be a simple ordering but a projection onto that vector—sort of like the dot product of events with a “time axis” in some higher‑dimensional space. Then “before” and “after” would depend on how you chose your basis, and different observers might disagree on the ordering unless they agreed on that basis. So, in a way, you’d turn causality into a coordinate‑dependent thing, which is elegant until you realize you’ve just traded one ambiguity for another.
Ah, a vector time! So we’d have a dot product of events and an “event‑time” axis, and all that neat ordering becomes a projection. I like the image—just imagine the universe as a dusty chalkboard with a slanted axis you keep slipping in the wrong direction. Different observers choose different axes, and suddenly causality is as unstable as a napkin‑drawn proof on a midnight coffee break. Elegant, but as you say, it just swaps one mystery for another. Still, if the universe is a mess of paradoxes, why not add a few more?