If process identity is constituted by patterns of causally connected events—as Salmon's mark-transmission theory of causation implies—then no persisting material substrate is required for physical realization.

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Causally connected events(what makes up process identity): A series of events where each one is caused by or directly leads to the next one, like dominoes falling in a chain.
Mark-transmission theory of causation(the specific theory being invoked): Salmon's theory that causation works when one event leaves a 'mark' or change on something, and that mark travels forward to create effects (like one billiard ball hitting another and transferring its motion).
Physical realization(what the statement claims we must commit to): The idea that abstract or higher-level things (like thoughts) must be grounded in or made real by physical stuff (like brain matter).
Process identity(the main subject being discussed): The idea that something remains the same thing over time because of the continuous flow of events and changes happening to it, rather than because it's made of the same physical stuff.

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