Established in scope
Replica consistency exactly for acyclic influence structure
In the question: Observable reality: minimal conditions and counterworlds
General elementary finite deterministic theorem, mathematically reviewed twice. Arbitrary encoders, decoders and erasure are used; no general reversible two-copy theorem. Interfaces are not derived events. No novelty priority claim.
Read the exact result, assumptions and evidence
Result
For arbitrary finite alphabets/interfaces, existence under every finite joint local replica control, uniqueness under every such control, acyclic static influence and compatibility with at least one fixed total order are equivalent. A directed cycle of length m allows at most m copies with separately sensitized edges and odd XOR feedback without a solution. Acyclicity gives unique triangular recursion. No unique total order or physical time is selected.
Required assumptions
- Finite deterministic processes with full joint replica control
Supply finite nonempty local input/output sets and total w:product O->product I. Every finite number of coordinatewise independent replicas allows every joint deterministic map I_k^M->O_k^M at corresponding interfaces, including constants/erasure. Require at least one global solution for every such experiment; do not assume a global order.
Original evidence
- COMPOSITION_CAUSALITY.txt lines 1–139
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/foundational-process-classification-20261016/COMPOSITION_CAUSALITY.txt
57cbb8dd7e9407cece44acd4ab5015300eb132657c3b5a255475066875009830
finding:replicated-deterministic-consistency-iff-influence-dag