Space of gauges is like the space of all possible rewriting orders

Rewriting orders are defined by a local potential

With every point there is a forward light cone

Strong confluence ⇔ local gauge invariance

Confluence after a bounded number of steps
In this case, making a perturbation should produce a “gauge ripple” in the causal network.

Confluence ⇔ general covariance

Event horizon: reachability in causal network

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