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Brouwer Ordinals and the Shape of a Witness
de Jong et al. (2026) put an ordinal axis under decidability. That axis is past-tense, and Brouwer ordinals are the scalar specialization of our vector tropical past.
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The Pflow Square
One commutative square encoding the full categorical structure — the adjunction F ⊣ U, the zipper comonad W = UF, and the convergence of three analyses on a single structural boundary.
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The Zipper Whose Hole Is a Universe
Execution state is a zipper — the present moment is not a parameter or a modality but a universe that separates tropical past from predicate future. Tic-tac-toe makes the structure visible.