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
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