// Non-linguistic data systems
The same audit, applied to systems nobody can read
Three Bronze Age administrative corpora remain undeciphered. Each has resisted a century of attempts to recover the language behind it. These audits do not attempt decipherment: they test whether the surviving records behave arithmetically as a database — whether totals close, deficits carry, and field positions hold — and they discard any proposed reading that violates a verified quantity.
This is the strongest available test of the method, because there is no meaning to fall back on. The numbering is thematic; publication order was III, I, II.
Record 04 // Linear A · Minoan Crete
Excel in Clay I: The Minoan Pipeline
A Non-Linguistic Structural Audit of Linear A as an Integrated Supply Chain Database
- Tablet HT 122 reconciles exactly: side subtotals of 31 and 65 plus a single carried variable of 1 that bypassed side-A subtotalling, producing the declared grand total of 97.
- Tablet HT 115 resolves to a deficit of exactly 5.0 units once 4 integer entries and 5 fractional entries of 1/5 are subtracted from the declared target of 10.
- Tablet HT 23 closes to a full unit of 1.0: seven supplementary entries at 1/16 each, with the remaining 9/16 allocated to the primary commodity — a binary fractional system, not an approximate one.
- Tablet HT 28 balances on both faces: a reserve of 26¾ plus an allocation of 5 equals the closing total of 31¾, recto and verso.
- Vessel ZA Zb 3 declares 32 units of wine — 921.6 L — against an internal usable capacity of approximately 556 L, an excess of 65.7%. Pithos KN Zb 27 declares 117 units (3,369.6 L) against a vessel of roughly 150–250 L. Across the three vessels, declared volumes exceed physical capacity by 66% to over 1,000%: these are warehouse manifests, not container labels.
- The audit issues 4 falsifiable predictions with stated probability thresholds and explicit falsification counts, testable against tablets not yet excavated.
Stated limits
The Minoan language remains unknown. The etymological affiliation of the operators is treated as secondary to their verified computational behaviour. The paper describes itself as a testable structural claim, not an interpretive proposal.
Record 05 // Indus script · Harappan civilisation
Excel in Clay II: The Meluhha Operating System
A Mathematical Reconstruction of the Indus Valley Non-Linguistic Cargo-Tag Database
- Sequence uniqueness in the Mohenjo-daro sub-corpus reaches 98.31% (n = 179) — a primary-key distribution, structurally unlike natural language and characteristic of identifier systems.
- Positional entropy varies significantly across five field positions: Friedman χ²(4) = 14.7, p = 0.005, indicating frozen boundary operators framing a dynamic interior.
- Across 8 near-duplicate seal pairs at edit distance D = 1, the variation localises exclusively in the interior positions, binomial p = 0.008.
- Stroke numerals concentrate in one field, where a single stroke-2 sign accounts for 66.91% of numeral entries (103 of 154 tokens), χ² = 198.3, p < 0.001 against uniform distribution — the opposite of the digit-1 dominance expected of item counts.
- One sign occurs 1,395 times, 10–12% of total token volume, converging on the terminal position and behaving as a transaction-closing operator.
- Inscribed storage jars target 9.47 L, matching a cube of edge 21.156 cm (12 Indus Angula at 1.763 cm), holding a 3:4 ratio with the 28.2 cm Harappan brick — a shared metrological standard across logistics and construction.
- Joint probability that the decode convergences are coincidental, under generous null bounds: 3.1 × 10⁻⁵.
Stated limits
Conditional entropy of 3.23 bits indicates strong sequential structure but is, on its own, compatible with both a constrained non-linguistic code and a natural language. The Minoan and Mesopotamian operator parallels are independently attested; the Harappan identifications remain the audit's hypotheses, rendered structurally plausible by the convergence.
Record 06 // Proto-Elamite · Susa
Excel in Clay III: The Susa Protocol
An Algorithmic Audit of the Proto-Elamite Operating System
- A hard-coded seed-to-land ratio of β = 2.5 holds across accounts, confirmed on a summation tablet recording 2,531 units against a capacity notation of 6,327.5.
- A previously unreported per-worker ration constant of 1/12 (≈ 0.0833) governs grain allocation, evidenced directly on two tablets: 12 personnel units to 1 grain unit, and 60 to 5.
- In the 20-tablet structural audit, 17 of 20 (85%) carry the same institutional header; 12 bear a deficit sign, and 8 of those carry a reconciliation sign on the reverse — an active deficit-reset loop closing accounts to zero each cycle.
- A shift of authority is documented across two tablets: after an account reaches an unrecoverable deficit, the same physical seal migrates to a new institutional header, preserving audit authority across an institutional reset.
- One tablet demonstrates conditional exception handling: a single sign acts as a trigger switching the metrological system in use, outputting 211 discrete units under a sexagesimal scheme.
- The system's constants were not adjustable. When yields fell, the architecture had no elasticity — a control system with insufficient degrees of freedom, collapsing c. 2900–2800 BCE.
Stated limits
The script remains undeciphered, the underlying language is unknown, no bilingual text exists, and no lexical lists survive. The direct evidence sample for the ration constant is small; a third tablet is consistent with the constant but does not independently prove it. The collapse account is an inferred historical model.