The Bureau of Volumetric Reconciliation

The Bureau of Volumetric Reconciliation is the Tower body charged with the measurement, notation, and amortization of discrepancies between the stated volume of an enclosed space and the volume that space is observed to contain. It is not to be confused with the Bureau of Dimensional Reconciliation, which holds the broader and older warrant over spatial inconsistency generally, nor with the Office of Volumetric Reconciliation, a subordinate calculating office established under Subsection 12.3 of Clause 12. The distinction is set out plainly in Third Concordance, Annex 4: "The Bureau measures; the Office reckons; the debt is the Treasury's." That sentence has been cited in every jurisdictional dispute between the two bodies since 1412, and has settled none of them.

The Bureau keeps its survey rooms on Floor 3,411, a floor whose name is disputed and whose number is not. Its seal depicts a cube opened along one edge, draining.

Origin and warrant

The Bureau was constituted by the Ninth Concordance in the wake of the Cist Incident, in which a sealed vestibule on Floor 887 was certified at 40 cubic cubits and subsequently found to admit fourteen additional pilgrims without complaint. The certification had been correct at the time of issue. This was held to be the difficulty. The Ninth Concordance therefore created a standing body to determine not whether a volume was accurate but whether it remained so, and to price the difference.

Warrant for the pricing falls to the Guild of Volumetric Assessors, which seconds assessors to the Bureau on rotating terms of nine floors. The arrangement is old and its terms are not written down anywhere the Guild can produce. When pressed, the Bureau cites Eleventh Concordance, Schedule 2, which is missing.

Procedure and the question of the second measurement

The Bureau's ordinary method is the double survey: a space is measured upon entry and again upon exit, and the difference, if any, is entered as a volumetric variance of record. Variances under one cubic cubit are absorbed. Variances above that figure open a file, and the file accompanies the space thereafter, as a title accompanies a parcel of land.

Complications arise because the second measurement is frequently larger than the first without any alteration having been made. The Bureau does not regard this as anomaly. Its position, restated in every annual return since 1398, is that a room in use is a different room from a room empty, and that the difference is a legitimate entry rather than an error. The Bureau of Conceptual Reconciliation has objected that this reasoning would permit any space to expand indefinitely provided it were sufficiently busy, and has twice petitioned for the practice to be reviewed under the procedures of Axiomatic Reconciliation. Both petitions were returned for want of a defined baseline.

The Álvaro Precedent

In the winter of 1406, the assessor Mérida Álvaro certified the north stair-landing on Floor 2,209 at 112 cubic cubits and, nineteen days later, at 119. Rather than amend the first figure, she entered both, with the note: "Seven cubits, acquired by use. Not chargeable." Her note became the Bureau's standing instruction on what came to be called accretive volume, and her name is invoked whenever accretive volume is invoked, which is often and usually by way of complaint. The Álvaro Precedent was upheld in full by the Twelfth Concordance and narrowed almost to nothing by the Fifteenth, which limits the accretion permissible without survey to four cubits, and to three on floors between 2,000 and 2,400.

Jurisdictional disputes

The Bureau's relations with its neighbours are governed less by Concordance than by habit. It coordinates with the Bureau of Spiral Coordination on all spiral-stack audits, an arrangement the Spiral office has described in writing as "workable." It shares with the Sub-Bureau of Temporal Reconciliation the practice of cross-referencing every variance against the master Reconciliation Ledger, though the Bureau's clerks maintain a separate ledger, since the Sub-Bureau's is indexed by signature and the Bureau's by room.

Relations with the Acoustic Reconciliation Bureau are courteous and unproductive. When a space's volume is disputed, the Acoustic office is entitled to submit a resonant opinion, and does so, and the opinion is filed. In the matter of the Screaming Pillars the Bureau has declined to adopt either the Echo Theory or the displacement account, on the ground that a pillar is not an enclosed space and therefore not a volume; the Acoustic office regards this as a refusal to answer.

The Bureau's longest grievance is with the Office of Procedural Reconciliation, which in 1441 ruled that a volumetric variance of record could not be entered until the forming of the file had itself been reconciled. The Bureau complied for eleven years. No file was opened. Floor 3,411 reports a backlog it no longer attempts to express as a quantity.

Inventory of instruments

The Bureau's survey equipment is held in common and signed out against a docket. The current register lists the following:

• Nineteen graduated rods, of which four are certified.
• Two plumb-lines of Tower issue, and one of disputed origin.
• Six demonstration cubes, hinged, for the instruction of new assessors.
• A brass standard cubit, chained to the wall of the survey room.
• One hundred and nine blank variance dockets.

The brass standard cubit is not to be removed from the survey room under any circumstances, including fire.

Criticism and the descending school

The principal scholarly challenge to the Bureau's method is the descending school, associated with the assessor Halvard Prine, who argued in his Remarks on the Volume Beneath (1466) that a space's true volume is the volume of what it displaces above and below it, and that measuring the interior is therefore measuring the wrong side of the wall. Prine's position has never been adopted, but it has never been refuted. The Bureau's official reply, printed in its returns since 1469, is that the question lies outside its warrant and has been referred to the Bureau of Dimensional Reconciliation, which has not reported.

A quieter criticism concerns the Bureau's refusal to certify any volume that has been certified before. Spaces of long standing accordingly accumulate files rather than figures, and the volume of record for a much-surveyed room may run to forty pages with no single figure on any of them. The Office of Unitary Reconciliation has offered to reduce these to one number per room. The Bureau has not declined the offer. It has not answered it.

"A volume is not a fact but a history of facts, and the history is the record."

— Eleventh Concordance, Preamble

Current business

The Bureau's returns for the present session record 2,044 open variance files, of which 611 are accretive, 288 are descending, and the remainder await a second measurement that cannot presently be taken because the rooms in question are in use. The Bureau notes, without comment, that this figure has risen in each of the last nineteen sessions and that the Reconciliation Phase has not been declared for any of them.