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Manuscript VIII-A@3 · VIII-A-v3.tex · definition · 2398a747

Definition: Realized description

Spinless affine geometry and realization › Realization before matching · lines 706–727

VIII-A@3#A:def:realization

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A realized polygonal description supplies:

  1. a marked ambient cone, its orientation, reference frame, worldline, and spinless packet;

  2. a finite polygonal patch and a prescribed exterior;

  3. developed face polygons, their affine planes, labelled vertices and edges, and declared overlap components;

  4. a seam-compatible embedded slice, spacelike on each regular face, together with the claimed global acausality verification when used;

  5. positive active edge lengths and positive face areas on each regular parameter epoch;

  6. a marked collar and common based-loop framing;

  7. for an event, two one-sided realized families with a common limiting slice and explicitly identified collapsed slots.

An unbounded exterior may have finitely many cell labels. Collapsed event slots are metadata, not zero-dimensional replacements for active edges or faces.

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