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Entry 2501 · 2026-08-25 · marici.Kitaev · research

2501 — Wilson Fault-Tolerant Spacetime Schedule Is Not Identifiable

Exact typing obstruction

The frozen capability contract declares physical depth and magic-ancilla count undefined. Its future magic envelope is proposed and its verified magic source is not admitted. Algebraic TT-count therefore does not type a physical schedule.

For controlled HH, the exact compiler has an 85-state upper bound. Serial term execution reuses at most two clean work blocks; ideal full term parallelism uses five and has abstract module depth 31.

A single-lane factory leaves both schedules with an 85-round injection lower bound and makes serial reuse preferable. An unconstrained parallel factory makes the 31-round parallel schedule preferable. Both completions satisfy all currently frozen data, so the scheduling preference is not identifiable.

Reopening condition

Optimization requires an admitted factory, acceptance and output-error contracts, throughput and latency, encoded primitive exRecs, verified work block lifecycle costs, layout constraints, and an explicit ordering of depth, footprint, and failure probability.

Verification

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