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The Selection Gap: What Petri Nets Add to the Freedom Proof
Formal systems cannot ground themselves. The Trans-Existential Grounding (TEG) framework argues from this that existence requires a trans-existential ground, and that only pure potential, free will, can serve. This paper adds a second, independent gap, drawn from concurrency theory. Petri net semantics treats conflict, two lawfully enabled transitions competing for the same token, as a primitive the formalism itself cannot resolve: both continuations are lawful, and the theory permanently declines to select between them. Causality in net theory is a partial order with no global clock, following Carl Adam Petri's explicitly physical postulates. Lawfulness therefore does not entail determinism; the inference from "there are laws" to "the future is fixed" requires an extra assumption. Attempts to internalize a scheduler either reproduce the conflicts or destroy the concurrency, in structural parallel to the Gödelian containment argument. Bell's theorem rules out a hidden schedule at nature's base. The laws cannot ground themselves, and the laws cannot select the history: the grounding gap and the selection gap admit the same answer.
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