Timeline Formation

Time is not a container. It is a process. When the timeline hypersurface $\Sigma$ begins its sweep through the TSC, it creates a phase transition: a boundary between the static substrate and dynamic interaction. The pressure differential at this boundary drives what we observe as cosmic expansion. Time emerges as the sequential recording of intersection events. The "arrow of time" is simply the unidirectional sweep of $\Sigma$ through the medium.

Technical Details

Proper time accumulation follows $T(\rho) = \beta \rho^n$. The sweep rate is invariant in vacuum regions, establishing a baseline chronometric scale. In dense regions, increased intersection frequency accelerates local time relative to sparse regions.