Ars Inquirendi

AI-generated conjecture · below the evidence/publication boundary

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Varāhamihira graded five dead rivals honestly

Status: Anticipated · untested

Status is derived only from the shepherd-authored triage/prediction data above -- community submissions and claims are a separate overlay and can never change it (see the participation panel below).

This is a proposed connection between two domains, generated by a language model. It is not an article and not evidence: it sits below the evidence/publication boundary. A quantitative prediction and a named kill-dataset are attached (when registered) so the claim stays falsifiable rather than merely evocative.

Claim (verbatim)

Five early astronomical systems — the Paitāmaha, Vāsiṣṭha, Romaka, Pauliśa, and Saura siddhāntas — are lost in their originals (the extant Sūryasiddhānta is a later, different text); the only quantitative access to them is Varāhamihira's Pañcasiddhāntikā (sixth century, Ujjain), a comparative digest that not only summarizes but grades them (I.4): the Pauliśa accurate, the Romaka near it, the Saura more accurate still, the remaining two far from the truth. A doxographer could rank by school loyalty at no cost; an astronomer publishing a ranking of working systems risks the sky contradicting him. If Varāhamihira's grades were empirical, then lost-text testimony can be audited a millennium and a half later: reimplement each summarized system and score it against the real sky of his own epoch. Prediction: implementing each of the five systems' solar and lunar algorithms as edited from the Pañcasiddhāntikā and scoring positional error against a modern ephemeris for dates around the treatise's epoch (505 CE, Ujjain meridian), the accuracy ordering will reproduce Varāhamihira's published grading — Saura best, Pauliśa and Romaka next, Vāsiṣṭha and Paitāmaha worst — with the Saura's mean solar-longitude error under half the Paitāmaha's (primary clause: the ordering match on the solar theory; the verdict follows it). Kill: the algorithms as edited in O. Neugebauer and D. Pingree, The Pañcasiddhāntikā of Varāhamihira (Copenhagen, 1970-71), controlled against the Kuppanna Sastri-Sarma edition (1993), run against the JPL DE ephemerides.

Prediction clause (verbatim)

Prediction: implementing each of the five systems' solar and lunar algorithms as edited from the Pañcasiddhāntikā and scoring positional error against a modern ephemeris for dates around the treatise's epoch (505 CE, Ujjain meridian), the accuracy ordering will reproduce Varāhamihira's published grading — Saura best, Pauliśa and Romaka next, Vāsiṣṭha and Paitāmaha worst — with the Saura's mean solar-longitude error under half the Paitāmaha's (primary clause: the ordering match on the solar theory; the verdict follows it).

Kill-dataset (verbatim)

Kill: the algorithms as edited in O. Neugebauer and D. Pingree, The Pañcasiddhāntikā of Varāhamihira (Copenhagen, 1970-71), controlled against the Kuppanna Sastri-Sarma edition (1993), run against the JPL DE ephemerides.

Nobody has run this test. The kill-data is named above. If you can run it — or you know the paper that already settles it — claim the kill or submit the prior scholarship. Kills and prior scholarship are credited here, by name, as they come in.

Provenance

Run: Fresh agent generation · model: claude-fable-5

Fresh blind generation by claude-fable-5, 2026-07-16, breadth wave weighting India/South Asia by inferred textual production rather than survival; every item grounded in real works, authors, catalogues, and testimonia, including the real evidence of loss (citing authors, catalogue entries, translation corpora, rediscovery cases); no fabricated citations.

Novelty / leakage triage

anticipated in the literature — this exact test has never been run

Billard's programme scored Indian canons against modern ephemerides via deviation curves (including material related to the early Suryasiddhanta), and the Neugebauer-Pingree edition discusses the five systems' quality qualitatively — Varahamihira's own grading is famous. But a reimplementation of all five Pancasiddhantika systems scored against the c. 505 CE sky to audit that grading as an ordering test was not located.

  • O. Neugebauer and D. Pingree, The Pancasiddhantika of Varahamihira, 2 vols. (Copenhagen, 1970-71)
  • R. Billard, L'astronomie indienne: investigation des textes sanskrits et des donnees numeriques (EFEO, Paris, 1971)

Predictions

Open registered 2026-07-17 calibration prediction (parent triage: leaked/adjacent)

Registered against the five siddhanta solar algorithms as edited in the Pancasiddhantika, scored vs a modern ephemeris. Claim under test (primary clause): the empirical solar-accuracy ORDERING of the five systems reproduces Varahamihira's own published grading (Saura best; Pauliza, Romaka next; Vaziztha, Paitamaha worst), with the Saura's mean solar-longitude error under HALF the Paitamaha's.

Resolution criteria: DATA: the solar-longitude algorithms of the Paitamaha, Vaziztha, Romaka, Pauliza and Saura siddhantas as edited in O. Neugebauer & D. Pingree, The Pancasiddhantika of Varahamihira (Copenhagen 1970-71), controlled against Kuppanna Sastri-Sarma (1993); true solar longitudes from a JPL DE ephemeris at the Ujjain meridian. FEASIBILITY GUARD (evaluate FIRST): the Neugebauer-Pingree edition is a PRINT critical edition; if the five systems' solar algorithms are NOT available in an open/digitized form sufficient to implement them faithfully, the kill-dataset is not buildable as registered -> INCONCLUSIVE_BY_DESIGN (do not reconstruct the algorithms from secondary paraphrase). METRIC (if buildable): implement each system's solar-longitude computation; compute mean absolute error vs the ephemeris over a set of dates spanning ~505 CE (the treatise epoch). PRIMARY: does the best->worst ordering match Varahamihira's grading AND is mean_error(Saura) < 0.5 * mean_error(Paitamaha)? CLAUSE PRECEDENCE: (1) INCONCLUSIVE_BY_DESIGN per the feasibility guard, or if the algorithms cannot be implemented unambiguously. (2) SUPPORTED if the ordering matches and the Saura<0.5*Paitamaha condition holds. (3) KILLED otherwise. Report each system's mean error, the ordering, and the algorithm source actually used. computed_at postdates registered_at.

Known priors disclosure: Held: the conjecture's reasoning (Varahamihira graded five now-lost systems and the grading should be empirically checkable) and general knowledge the Pancasiddhantika is the sole quantitative access to the lost originals. NOT computed: any accuracy figure. HONESTLY FLAGGED at registration: the edition is print, so this may resolve INCONCLUSIVE_BY_DESIGN (algorithms not openly buildable) rather than supported/killed.

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