Failure in the Inclusion Loop

Failure in the Inclusion Loop is the terminal condition of an Inclusion Loop in which no subordinating determination has been reached before the loop is closed by the expiry of its certification window. It is distinguished from the ordinary operation of the loop — a document citing its own annex, the annex citing the document back — by the absence of any surviving record of which instrument governs. Failure is not the same as error. An erroneous subordination can be corrected; a failure cannot, because the corrected version has already been nullified along with the uncorrected one.

The governing text is the Eleventh Clause of the Sixth Concordance, which provides that failure in the loop results in retroactive nullification of all interim actions taken during the pendency of the loop, "as though the annex had never been sealed, and the seal itself never cut" (Sixth Concordance, Eleventh Clause, para. 2). The Clause is widely cited and rarely read to its end; its fourth paragraph excludes instruments held under Provisional Inclusion pending resonance assessment, a carve-out inserted at the insistence of the Resonator office and never reconciled with the rest of the text.

Doctrinal basis and the Seventh Concordance dispute

Standard practice for detecting incipient failure derives from a contested reading of the Seventh Concordance, which nowhere uses the word "failure" but describes a state it calls "the stalled return" — a loop that has run long enough to have generated its own correspondence and not long enough to have generated a ruling. The Committee on Jurisdictional Overlap holds that the stalled return is a procedural description, not a substantive one, and therefore confers no authority to intervene before closure. The Scribes of the Closed Loop hold the opposite: that intervention after closure is nullification by another name, and that the Committee's reading "converts a delay into an extinction" (Scribes of the Closed Loop, memorandum of 14-Gamma-7,112).

The memorandum of that date is principally remembered for its observation on the dual inclusion of Annex Omega, but its closing pages contain the earliest sustained treatment of failure in the loop, and the Scribes of the Closed Loop, Aperture Theta continue to annotate it. The two offices have not agreed on the question for a period exceeding four hundred reckonings.

Procedure at suspected failure

Where a loop is suspected of failure, the custodian of the senior instrument is required to notify the Register of Irregular Acquisitions, which maintains the schedule of grace periods extended to shadow bureaus. The grace period does not pause the loop; it merely records that the loop is expected to pause itself, and the expectation is entered as a holding in its own right. The distinction is frequently lost. In the winter of 14-Gamma-7,114 a clerk on the ninth scriptorium landing, one Ovrik Senn, entered a grace period under the Register for a loop that had already closed eleven days earlier, and thereby dated a nullification before its own cause. The resulting file was neither void nor valid and was eventually shelved under Calibrated Failure, where it remains, in a folder of its own, undisturbed.

Certification of the closed state is a separate step, undertaken under Recursive Loop Certification and recorded on the Recursive Certification sheet, which cites itself in the ordinary course. Senn's file has two certification sheets and no ruling between them.

Retroactive nullification in practice

The Clause's effects are retroactive rather than prospective, and this produces the effects practitioners find most difficult. Interim actions — annotations, marginalia, concordance slips, the striking of the seal — are nullified in the order in which they were performed, which is to say, last action first. A loop that fails after the annex has been sealed and the seal cut leaves a seal that was cut and an annex that was never sealed, and no order of operations that produces both. Divisional practice on the Closed Loop landings is to record the nullification backwards in a separate hand, a convention with no textual authority and universal observance.

Failure in a loop established under Administrative Inclusion is treated differently again. Because such loops are opened by the administration rather than by the instruments themselves, their failure is recorded as an Evidential Inclusion in reverse, the support withdrawn from beneath the holding it was meant to bear. Readers are directed to the treatment of the Evidentiary Loop for the failure mode proper; the present article is concerned only with the Inclusion Loop's collapse, not with the supporting-loop confusion, which is separately and more than once confounded with the Precedential Loop of Elara Vance and with the Hargrove Loop.

Recorded failures

Recovered failures are few, and the inventory below is the one maintained by the Loop Mapping office at Aperture Theta. It is reproduced as filed.

• File 6/11-C: failure recorded 09-Gamma-6,988; both instruments nullified; no subordination entered.
• File 6/11-F: failure recorded 22-Beta-7,003; annex survived, document did not; the survival is unexplained.
• File 6/11-K: failure recorded 14-Gamma-7,114; the Senn file; pending.
• File 6/11-N: failure averted by intervention of the Committee; subordination contested to this day.

The fourth entry is included at the Committee's request and against the advice of the Mapping office, which considers an averted failure to be outside the scope of a register of failures. It has not been struck, because striking it would require a concordance, and no one has been found to draft one.

"A failed loop is not a loop that has stopped. It is a loop that has stopped having happened."

— Sigma Loop Doctrine, commentary on the Sixth Concordance, fol. 44

Relation to the doctrine of closed failure

The Sigma Loop Doctrine treats failure as the terminal case of the loop and the only one that cannot be mapped; the Auto-Generative Loop treats it as a phase from which a loop may recover, provided the recovery is not itself certified under the Recursive Authenticity Loop, which would constitute a second loop and therefore a second opportunity to fail. The Hargrove Loop is sometimes adduced as an instance of recovery, but the Hargrove Loop was never properly opened and its failure, if any, falls outside the Clause. The Mapping office records no failure on the Hargrove landings and asks that the omission not be taken as a finding.