Definition · quotient atlas

FPRD-QA-RA-D01

Cross-length mirror-profile atlas

Exact statement

The admissible presentation is the disjoint union of fixed-length mirror-profile charts, quotiented by equality of the evaluated one-step output.

StatusExact definition
External reviewNo documented external or specialist review of this Quotient Arsenal result is recorded.

Context

The fixed-length mirror quotient extends across adjacent length charts with one seam bit, but complete growth responses require infinitely many states and separated-flank inverse limits contain non-realizable ghosts.

Proof or evidence

The packet pins source strata, output interface, chart fibres, and the growth seam.

Verification notes

The mirror-profile charts, output-length bound, one-bit receipt, and raw-fibre sum were reconstructed. An independent implementation checked 1,208,130 admissible profiles, 310 overlap outputs, and a sharp collision in every base from two through twelve. Missing Stage 6 archival payloads remain separate at L1.

Limitations

  • This is a set-level future quotient, not a finite causal machine or raw-source reconstruction.

Open work

Use the atlas as the base for cross-length receipt calculations.