V03·Act I · Consensus

Confluence and public records

Ghost timelines fan out from one start state along different repair orders, and all of them land on the same bright endpoint.

The relation on screen

s \to^{*} t_{1}, s \to^{*} t_{2} \Rightarrow t_{1} = t_{2}

Local diamonds close, so the terminal state is independent of the order in which moves fire.

Symbols

$\to^{*}$: any finite sequence of admissible repair moves
$t$: terminal state, no descending move remains

loading replay evidence

what to look for · Many random schedules, one terminal hash. That single hash is the whole claim.

Consensus to physics

01different repair orders are applied to the same start configuration
02the reachable endpoint set is compared
03endpoints agree, so the record is order-independent
04an order-independent record can be shared without a referee

In standard physics

Sum over histories, single outcome

Church-Rosser confluence, and the reason consensus needs no central clock. Two observers repairing in different orders end up agreeing, which is the precondition for a shared world.

boundary · Confluence holds over the schedule family that was checked. Every schedule is a stronger claim this run does not make.

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