A two-state stochastic evolution is divisible between given times if and only if the earlier transition matrix lies in one of two explicitly described cone regions, with continuous curves crossing a critical diagonal necessarily becoming indivisible.
Conformal Superspace: the configuration space of general relativity
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abstract
It has long been considered that conformal superspace is the natural configuration space for canonical general relativity. However, this was never definitively demonstrated. We have found that the standard conformal method of solving the Einstein constraints has an unexpected extra symmetry. This allows us to complete the project. We show that given a point and a velocity in conformal superspace, the Einstein equations generate a unique curve in conformal superspace.
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Divisible and indivisible Stochastic-Quantum dynamics
A two-state stochastic evolution is divisible between given times if and only if the earlier transition matrix lies in one of two explicitly described cone regions, with continuous curves crossing a critical diagonal necessarily becoming indivisible.