V02·Act I · Consensus
One repair step, atomically
Extreme close-up on a single seam. The Z/6 register clicks to its strict-descent value and a ripple runs out across the neighbourhood.
The relation on screen
A move is admitted only on strict descent, which is why the dynamics is a relaxation and not a random walk.
Symbols
- change in disagreement caused by the move
- the single seam the move touches
loading repair events
what to look for · The touched-cell count is small and fixed. Locality comes out of how the move is defined; no assumption about space went in.
Consensus to physics
- 01a seam register holds the Z/6 mismatch between its two sides
- 02repair picks the strict local descent move on one seam
- 03the move lowers total disagreement and never raises it
- 04the record of the move is committed and becomes public
In standard physics
A spin flip in an Ising lattice
A local gauge transformation that relaxes a plaquette. This is the elementary event of the whole theory: everything downstream is a statistic of these moves.
boundary · A repair move is not a physical time step and not a unitary evolution. The step index is not yet a clock.