Computational Model Boundary
Computability · calibration · uncertainty · source discipline
The central truth
Vidhyamitra implements a deterministic analytical astronomical model. Its ability to return a value for a proleptic date proves computational reach, not historical uniqueness or physical accuracy at arbitrary depth. Every result must be read with the declared model, calibration range, uncertainty, and source boundary.
Live deterministic fixtures
These rows prove that the current implementation returns deterministic values for declared inputs. They do not certify that an ancient event occurred on any sampled date.
| Fixture | Year | Ahargaṇa | Sun | Moon | Boundary |
|---|---|---|---|---|---|
| Synthetic deep-time fixture | -10000 | -2,519,735 | Kanyā | Mithuna | Model-output demonstration only; not an asserted historical sky. |
| Modern historical fixture | 1900 | 1,826,556 | Dhanu | Dhanu | Deterministic regression fixture; independent accuracy comparison is a separate gate. |
| J2000-era fixture | 2000 | 1,863,080 | Dhanu | Tulā | Deterministic regression fixture near a common astronomical epoch. |
| Contemporary fixture | 2026 | 1,872,698 | Meṣa | Tulā | Current-era model-output demonstration. |
Mathematical lineage
- Kuṭṭaka (modular arithmetic) · Āryabhaṭa · Āryabhaṭīya — Integer and congruence methods used in calendrical arithmetic.
- Bhāvana (composition identity) · Brahmagupta · Brāhma-Sphuṭa-Siddhānta — Composition methods for indeterminate equations.
- Jyā methods · Bhāskara I · Mahābhāskarīya — Trigonometric approximation used in astronomical calculation.
- Chakravāla · Bhāskara II · Bījagaṇita — Cyclic method for Pell-type equations.
- Infinite series · Mādhava · Kerala-school textual tradition — Series methods for trigonometric quantities and π.
What Vidhyamitra does not infer
- A function returning finite numbers does not establish physical accuracy at unlimited temporal distance.
- A selected date matching selected markers does not establish uniqueness.
- One shared engine is not three independent confirmations.
- Devotional fullness is not a numerical confidence score.
- Competitor comparisons require dated, source-specific audits and are not emitted here without them.
How to read sacred chronology
Keep root text, literal grammar, traditional commentary, model-derived output, and modern historical inference distinct. Vidhyamitra preserves the source corpora and devotional doorway while declining to manufacture an exact sacred birth date from its own software.
Krishna as Kāla is the devotional orientation of this work. Verification remains an engineering discipline: model output, textual tradition, historical inference, and empirical accuracy are separate layers.
कालः कलयतामहम् · सत्यं वद · धर्मं चर