शून्यभेदŚŪNYABHEDA · ZERO-ANALYSIS ENGINE
हर अंक इसी browser में गणित से जन्मता है — प्रमाण-द्वार खुल रहे हैं…
Every number on this page is computed locally, and audited in front of you.
Compute locally
Browser-side ShunyaMath. No network fetch. Same engine as the rest of this page.
const jd = ShunyaMath.gregorianToJulianDay("2026-08-09", "12:00:00", 5.5);
const rows = ShunyaMath.canonicalGrahaModel(jd);
console.log(rows);{
"status": "local",
"engine": "ShunyaMath",
"note": "Compute locally — no remote API"
}प्रवेश · तीन पथ — कोई checkout नहीं
This page computes in the browser. There is no billing webhook, no hosted API key, and no checkout — गणना और export सदा मुफ़्त रहेंगे। नीचे के पथ सहयोग/seal/license की प्रतीक्षा-सूची हैं — केवल e-mail (mailto), कोई payment link नहीं।
- Complete 9-Graha Sphuta & Panchang
- All 16 Divisional Vargas (D1…D60)
- Bhāva, Vimśottarī & Yoginī engines
- JSON & CSV export of computed rows
- Everything computed on this page
इस पृष्ठ की हर गणना — बिना मूल्य, बिना खाता
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- प्राथमिकता-सहयोग (e-mail)
- संस्करण-updates की सूचना
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- संस्थागत वार्षिक license-पत्र
- गुरुकुल ₹4,999/वर्ष · मन्दिर-प्रकाशक ₹14,999/वर्ष
- विवरण panchang व museum पृष्ठों पर
- वार्ता e-mail से — कोई checkout नहीं
गणना सदा free — SKU केवल सहयोग/seal/license बेचता है। कोई payment gateway इस page पर नहीं है।
Market-Cycle परिकल्पना · Celestial Derivative Mechanics
Trigonometric harmonics, planetary angular velocity derivatives, and lunar nodal cycles — ज्यामिति computed है; कोई trading-वादा या volatility-forecast दावा नहीं।
Geocentric planetary stationing occurs when apparent velocity |dθ/dt| < 0.05°/day as a planet transitions from direct to retrograde motion (or vice versa).
Exploratory hypothesis — not statistically validated: some practitioners conjecture that planetary stationing coincides with volatility regime switches. No such correlation is tested or claimed by this page; only the stationing geometry itself is computed.
The 18.61-year regression of the nodes and its 9.3-year half-period are computed here.
Exploratory hypothesis — not statistically validated: long-wave economic-cycle correspondences (Kondratiev-style) are sometimes conjectured for the 18.61-year nodal period. This page computes only the astronomical cycle; no economic linkage is tested or claimed.
Deterministic ephemeris matrices give reproducible celestial coordinates for any epoch (same inputs, same outputs — the determinism check in the page header verifies this at load), with no post-hoc curve fitting.
टिप्पणी: deterministic matrices मानक time-series साँचों (VAR, GARCH) में ingest की जा सकती हैं — कोई alpha-दावा नहीं (VYAKHYA)।
| Graha | Canonical Longitude | Angular Velocity (dθ/dt) | Acceleration (d²θ/dt²) | Motion Regime | Stationing Signal |
|---|
Śūnyabheda (शून्यभेद) & Zero-Point Nodal Axis Diagnostics
Classical indicators — Dagdha Rāśis, Rahu-Moon midpoint (Bhrigu Bindu), 9th-house ray pivot (Indu Lagna), और श्रीपति-चलित (परिचय: Placidus) 12th-house cusp shifts। सब वर्गीकरण शास्त्र-वचन आधारित संकेत हैं (SHASTRA-SMRIT) — विधि-वाक्य नहीं।
शास्त्र-वचन (मुहूर्त-परम्परा की दग्ध-राशि सूची) में इन राशियों के ग्रह क्षीण-फल कहे गये हैं (SHASTRA-SMRIT) — व्याख्या है, नियति नहीं।
Mathematical midpoint (Rahu + Moon)/2 — गणित यही है। इस बिन्दु पर गोचर को उत्तर-कालीन नाड़ी-परम्परा महत्त्वपूर्ण मानती है (SHASTRA-SMRIT) — विधि-वाक्य नहीं।
9th-lord कलाओं (rays) के योग से गणित — शास्त्र-वचन इसे धन-भाव-सूचक मानते हैं (SHASTRA-SMRIT); कोई धन-वादा नहीं।
Compares whole-sign Rashi placements with unequal Bhava Chalit quadrant cusps. जब 11th-भाव के ग्रह 12th-cusp span में सरकते हैं, शास्त्र-वचन इसे व्यय-वृद्धि का संकेत मानते हैं (SHASTRA-SMRIT) — विधि-वाक्य नहीं।
Substrate audit (ssAudit · ssSphutaAudit · ssSpaceAudit)
Live pass/fail from ShunyaMath frozen audit objects. Not a marketing score.
Classical model, not modern Drik
This workbench uses one deterministic classical Sūrya-Siddhānta corrected sphuṭa row set. It is not a modern observational or Drik ephemeris. Mean longitude is retained only as an audit comparison. Bīja is an optional, 1800 CE-anchored outer-graha experiment.
Time, place and declared frame
Canonical corrected sphuṭa rows & Nakṣatra Atlas
One canonical row set feeds this table, every varga, Vimśottarī arithmetic and bhāva placement. Integer mean is comparison evidence only.
| Graha | Integer mean (comparison) | Sphuṭa before bīja | Bīja delta | Canonical longitude | Rāśi | Nakṣatra & Pada (नक्षत्र व चरण) | Nakṣatra Lord (स्वामी) |
|---|
Ṣoḍaśavarga Complete 16-Chart Atlas
All sixteen Pāraśarī harmonic divisional charts (D1 through D60) computed deterministically from canonical sidereal coordinates. North-Indian fixed rāśi geometry: ल marks Lagna; grahas in green.
Open Complete 16-Varga Sign Matrix Data Table
Bhāva-cakra · twelve bhāva-madhyas
Classical unequal-house geometry uses lagna and madhya-lagna anchors, quadrant trisection and midpoint sandhis. Placement uses the same canonical sidereal longitude shown in the main table. Whole-sign numbering is comparison only.
| Bhāva | Kāraka | Madhya | Madhya Nakṣatra & Pada | Sandhi | Span | Rāśi | Lord | Canonical occupants |
|---|
| Graha | Canonical λ | Bhāva (cusp) | Madhya offset | Whole-sign bhāva |
|---|
Vimśottarī at the selected instant
…
| दशा-स्वामी (Lord) | वर्ष | प्राण (972×) |
|---|
This is a 120-year sequence arithmetic demonstration, not a prediction. Its dates depend directly on the canonical Moon longitude supplied by the declared classical model.
D=9 जन्म-जालक · Natal-ID
cell = 729·Sūrya + 27·Candra + Lagna over the 0-based nakṣatra indices of the chart computed above — one address in the 27³ = 19,683-cell lattice. Each nakṣatra index maps to base-3 coordinates in {−1, 0, 1}³; the zone counts non-zero coordinates across the nine axes (0 BINDU · 1 FACE · 2 EDGE · 3–5 CORNER · 6+ DEEP). (KOSH)
card के सब अंक ऊपर की जीवित गणना से आते हैं — पहले "Recompute mathematical state" चलाओ।
Live Gochara (Transit) & Janma-Gochara Synthesized Relations
Dual-matrix synthesis computing the real-time planetary transits against the subject's Radix (Janma Kundali). Computes mutual angular aspects और Gochara house vectors from Moon and Lagna। साथ के वचन शास्त्र-वचन आधारित संकेत हैं (SHASTRA-SMRIT) — विधि-वाक्य नहीं।
Janma ↔ Gochara Relational Matrix & शास्त्र-संकेत सारणी
Side-by-side mathematical comparison of birth longitudes vs live transit positions with exact angular separation, mutual harmonic aspects, Gochara house reckoning from Moon — और शास्त्र-वचन आधारित संकेत (SHASTRA-SMRIT)।
| Graha | Janma Radix (λ & Rāśi) | Live Gochara (λ & Rāśi) | House (Lagna / Moon) | Separation & Aspect | Gochara Status | शास्त्र-संकेत (SHASTRA-SMRIT) |
|---|
| Kāraka | Graha | Effective Degree | Rāśi | Navāṃśa (D9) | Signification (Kāraka Role) | Live Transit Trigger (Gochara) |
|---|
Muhūrta scanner (शुभ मुहूर्त एवं काल निर्धारण)
Deterministic v1 evaluation of Tithi (पञ्चक-वर्ग), Vāra, Nakṣatra and Sarvārtha/Amṛta Siddhi vāra-nakṣatra yogas, with Riktā-tithi demotion. अभिजित-window प्रति-दिन sunrise/sunset से computed।
योग/करण/लग्न-शुद्धि इस v1 scanner में अजाँचे (PENDING) — त्याज्य-योग मिलने पर नीचे ⚠️ caution दिखता है, score में नहीं गिना जाता।
| Gregorian Date & Day | Panchāng Factors (Tithi, Nakṣatra, Yoga) | Shubh Quality Index | Optimal Execution Window | Shastric Strengths & Positives |
|---|
Aṣṭakavarga 337-Bindu Matrix, Ṣaḍbala & Classical Yoga Atlas
Comprehensive 8-fold contributor matrix (Sarvāṣṭakavarga & Bhinnāṣṭakavarga), 6-fold planetary potency (Ṣaḍbala in Rūpas), 24 Puṣkara Navāṃśas, Mṛtyu-bhāga degrees (classical list), and 30+ Classical Parashari/Jaimini Yogas.
Sarvāṣṭakavarga (SAV) 12-Rāśi Bindu Matrix (Σ = 337 Invariant)
Active Classical Shastric Yogas Detected (Pañca Mahāpuruṣa, Rāja, Dhana & Viparīta)
Ṣaḍbala Six-Fold Planetary Potency Scorecard (Rūpas & Virūpas) VYAKHYA · सरलीकृत प्रदर्श — Kāla/Ceṣṭā/Dṛk स्थिरांक; पूर्ण BPHS ṣaḍbala PENDING
| Graha | Sthāna | Dig | Kāla | Ceṣṭā | Naisargika | Dṛk | Total (Virūpas / Rūpas) | Required | Adequacy % |
|---|
पुष्कर-भाग एवं मृत्यु-भाग सूची (शास्त्र-वचन — संकेत, नियति नहीं)
| Graha | Longitude & Rāśi | Within Sign | Puṣkara Navāṃśa (24 Slots) | Puṣkara Bhāga (Amṛta Degree) | मृत्यु-भाग (शास्त्र-सूची) | Shastric Dignity Classification |
|---|
BPHS Advanced Mathematical & Shastric Suite (बृहत्पाराशर होरा महा-सूत्र)
Deterministic integration of Special Lagnas (Ch. 5), Non-Luminous Upagrahas (Ch. 25), Arudha Padas & Upapada (Ch. 29–30), Argala & Virodhargala (Ch. 31), Aṣṭakavarga Trikona/Ekadhipatya Shodhana & Pinda Sadhana (Ch. 67–69), and the birth-moment classifications of Ch. 84–96 (SHASTRA-SMRIT, not fate).
Special Lagnas (विशेष लग्न - Ch. 5) & Non-Luminous Upagrahas (अप्रकाश ग्रह - Ch. 25)
⚠ विशेष-लग्न पंक्तियाँ स्थिर 15-घटी सन्दर्भ पर हैं — sunrise-linkage दोषग्रस्त, सुधार-प्रतीक्षित (BE-S12 draft)। धूम-परिवार उपग्रह वास्तविक सूर्य-सूत्र से हैं।
| Entity (संस्कृत नाम) | Category | Longitude & Rāśi | Nakṣatra & Pada | Shastric Derivation Principle |
|---|
Ārūḍha Padas (आरूढ़ पद - Ch. 29-30) & Argala/Virodhargala (अर्गल बाधा - Ch. 31)
| House / Planet | Arudha Sign (पद) | Active Argala Intervention (अर्गल) | Virodhargala Obstruction (विरोधार्गल) | Net Influence Vector |
|---|
Aṣṭakavarga Shodhana (त्रिकोण व एकाधिपत्य शोधन - Ch. 67-69)
| Graha Contribution Matrix | SAV Raw Bindus | Trikona Shodhana (1st Reduction) | Ekadhipatya Shodhana (2nd Reduction) | Shodhya Pinda (Rasi & Graha Pinda) |
|---|
BPHS अशुभ-जन्म अध्याय (84–96) — जन्म-क्षण के शास्त्रीय वर्गीकरण (SHASTRA-SMRIT, नियति नहीं)
Sūrya Siddhānta 14-Adhikāra Grand Computational Suite (सूर्यसिद्धान्त १४ अधिकाराः)
14 अधिकारों से एक-एक जीवित मान: Madhyamādhikāra (Ahargaṇa & Mean motions), Spaṣṭādhikāra (Manda/Śīghra Epicycles & Velocities), Tripraśna (12-Aṅgula Śaṅku Shadow), Grahana (Solar/Lunar Parallax & Shadow Cones), Chedyaka (Geometric Projection), Graha-Yuti & Yuddha (Planetary Wars), Bha-Graha (Yogatārās & Rohiṇī-Śakaṭa), Udayāsta (Heliacal Arcs of Visibility), Śṛṅgonnati (Lunar Horn Elevation), Pātādhikāra (Mahāpāta), Bhūgola (4 Prime Meridian Stations), Jyotiṣopaniṣad (4 Astronomical Yantras), and Mānādhyāya (9 Classical Time Reckonings).
Comprehensive 14-Adhikāra Live Telemetry Grid
| Adhikāra (अधिकार) | Domain | Active Real-Time Parameter / Metric | Classical Invariant / Formula |
|---|
4 Prime Meridian Stations (Ch. 12) & 4 Astronomical Yantras (Ch. 13)
| Entity (संस्कृत नाम) | Category | Coordinates / Current Reading | Observational Function |
|---|
9 Classical Time Reckonings (नव-विधानानि मानानि - Ch. 14 Mānādhyāya)
Shad-Darshana Vedic Mathematical Masterworks (षड्दर्शन गणित महा-कोश)
Interactive computational implementations of the 6 foundational Vedic mathematical systems: Āryabhaṭa (24-Jya Sine Table & Kuṭṭaka Pulverizer), Brahmagupta (Bhāvanā Composition & Cyclic Quadrilateral Area), Bhāskara II (Chakravala Cyclic Pell Solver & Differential Calculus), Mādhava of Sangamagrama (Infinite Sine/Cosine/Pi Series), Piṅgala (Meru Prastāra Combinatorics & Binary Ganas), and Baudhāyana Śulbasūtra (Exact √2 Fraction & Altar Triples).
24-Jya Half-Chord Differences & Kuṭṭaka Diophantine Solver (ax − by = c).
Bhāvanā Composition (Nx2 + k = y2) & Cyclic Quadrilateral Area.
Chakravala Cyclic Solver (Nx2 + 1 = y2) & d(sin θ) = cos θ·dθ.
Infinite Power Series for Sine, Cosine & Pi (about 250–300 years before Newton and Leibniz).
Paridhi-verse (bhūtasaṃkhyā, not kaṭapayādi): विबुधनेत्रगजाहिहुताशनत्रिगुणवेदभवारणबाहवः → 2827433388233 ÷ 9×1011 = 3.141592653592222…
Meru Prastāra (Pascal Triangle), Mātrāmeru (Fibonacci) & Binary Pratyayas.
√2 ≈ 577/408 (error 2.1×10⁻⁶), Altar Pythagorean Triples & Circling the Square.
| Graha | शास्त्रीय सू.सि. (°) | सिद्धान्त-दृक् (°) | दृक् VSOP/ELP (°) | सिद्धान्त−दृक् (″) |
|---|
| अङ्ग | सू.सि. भगण | बीज-संस्कृत भगण | Δ (rev) | अवधि (दिन) |
|---|
| Graha | Modern Float Model | Āryabhaṭa Rational Jya Model | Delta | Shastric Fidelity |
|---|---|---|---|---|
| computing… (हाइड्रेशन पर M.compareKernels से वास्तविक तुलना भरती है; JS विफल हो तो कोई संख्या नहीं दिखेगी) | ||||
| Master (आचार्य) | Era / Period | Primary Treatise | Core Mathematical Invention | Exact Formula / Constant | इस पृष्ठ पर |
|---|---|---|---|---|---|
| 1. Āryabhaṭa I (आर्यभट) | 499 CE (३६०० कलि) | Āryabhaṭīya | 24-Point Discrete Jya Table, Kuṭṭaka Pulverizer, Rational π | π ≈ 62832 / 20000 = 3.1416 · ax − by = c | प्रदर्शन-गणना |
| 2. Brahmagupta (ब्रह्मगुप्त) | 628 CE (५५० शक) | Brāhmasphuṭasiddhānta | Samāsa-Bhāvanā Composition, Cyclic Quad Area, Zero Algebra | √[(s-a)(s-b)(s-c)(s-d)] · a ± 0 = a | प्रदर्शन-गणना |
| 3. Bhāskarācārya II (भास्कराचार्य) | 1150 CE (१०७२ शक) | Bījagaṇita & Śiromaṇi | चक्रवाल वर्गप्रकृति Solver (Pell) · तात्कालिक-गति Derivative | Nx2 + 1 = y2 · d(sinθ) = cosθ·dθ | प्रदर्शन-गणना |
| 4. Mādhava of Sangamagrama (माधव) | 1340 CE (१२६२ शक) | Kerala School Texts | Infinite Power Series for Sine, Cosine, and Rapidly Converging π | sin x = x − x3/3! + x5/5! − … | प्रदर्शन-गणना |
| 5. Piṅgala (पिङ्गल) | c. 300 BCE (परम्परागत) | Chandaḥśāstra | Meru Prastāra (Pascal Triangle), Mātrāmeru (Fibonacci), 8 Binary Gaṇas | C(n,k) · Fn = Fn-1 + Fn-2 · 2n Permutations | प्रदर्शन-गणना |
| 6. Baudhāyana (बौधायन) | c. 800–500 BCE (अनिश्चित) | Śulbasūtra | √2 ≈ 577/408 (error 2.1×10⁻⁶), Altar Pythagorean Triples | √2 ≈ 1 + 1/3 + 1/12 − 1/408 = 577 / 408 | प्रदर्शन-गणना |
Śūnya architecture — pedagogical demonstrations (शून्य-तंत्र प्रदर्शन)
Pedagogical demonstration (toy parameters) — every figure below is computed live in this browser from the small models shown: p-adic ultrametric arithmetic ([T]7 ≡ 0 mod 7), a toy Pedersen commitment actually committed, opened and verified over the real sphuṭa values, a 40% reserve-split calculator, a गोल-क्षेत्रफल solid-angle · गोल-परिक्रमा-फल (Berry-phase analogue) over three Indian sacred sites, a Q10 metabolic model, and a date-difference tracker. Nothing here runs on quantum hardware or external services.
Non-Archimedean Metric |x|p & Nilpotent Operator [T]7 ≡ 0 (mod 7) — checked live below.
Pedersen Commitment C = gv·hr (mod p) committed, opened and verified live over the real sphuṭa values (BigInt, toy modulus — not cryptographically secure), plus a 40% reserve-split calculator.
Einstein–Schwarzschild redshift z, Shapiro delay and Mercury's perihelion advance (textbook formulas), Jacobi θ3(q), and a spherical-triangle solid angle Ω.
Reversible coordinate codec
This is a codec, not a cryptographic hash or compression. The K1 header carries hemisphere and decimal precision.
Decoded exact pair: …
Open method appendix and bounded synthesis statements
1 day = 60 ghaḍīs = 3,600 palas = 216,000 vipalas = 21,600 prāṇas.
21,600 prāṇas/day and 21,600 arcminutes/circle are a count correspondence, not a physical-unit identity.
The implemented effective_49 mode uses the Āryabhaṭa 499 CE anchor and the declared −16 rev/Mahāyuga shared drift. A Z≈253.8 CE calibration is an unimplemented alternative hypothesis, not the frame calculated here.
The bīja signs +30, −51 and +61 are optional research corrections anchored at 1800 CE; they are not claims of modern observational accuracy.
The earlier triangle “proof” reconstructed its inputs and was not an independent derivation. This audit exposes model, frame and comparisons rather than asserting unconditional correctness.