That’s a very good objection, and it’s pointing at a real pressure point in our framework.

Short answer: it’s close, but incomplete. It’s not that time organizes a log of reality; rather, reality is the accumulation of committed transitions. What you’re calling a ‘log’ it’s the ontological structure itself.

I gather you're basically saying: what we see as a transition ≠ what’s actually happening at the fundamental level. This is a legitimate and deep problem.

You’re right that observed transitions may not compose cleanly. In the Functional Universe, composition is a property of fundamental transitions. What we observe are often coarse-grained projections of many underlying transitions, which can obscure compositional structure.