Manuscript VII-E@1 · VII-E.tex · section · b713cf3c

Transition stratum, exact guard, and transport

One certified four-face slicing exchange › Transition stratum, exact guard, and transport · lines 2366–2403

VII-E@1#eq:guard, VII-E@1#eq:transport

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Let and be the regular families for and . Let and be their certified event germs.

Both germs realize the same capped surface at , with one four-face junction. The incoming germ retains an edge slot and its coincident endpoint labels . The outgoing germ retains an slot and its coincident endpoint labels . These are event metadata, not positive length edges.

Include a mode bit and a nonnegative permission label. The semantic event rule

has guard

It changes mode to , decreases permission by , and selects outgoing incidence. It does not advance . The no-other-collapse certificate is prop:edge-certificate, not a numerical test.

No active physical matter is placed inside in this example. Inaccessible spectator names may nevertheless have abstract cell labels there. Their transport is the fixed map

with persistent face, edge, vertex, collar, boundary, and exterior labels unchanged. This map factors through the event junction. It does not inspect states or infer developed positions.

Displayed formulas in this passage

  • VII-E@1#eq:guard · line 2385

  • VII-E@1#eq:transport · line 2396

  • unlabeled · line 2381

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