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The turning of the yugacakra

As the wheel turns, what goes up comes down and what is down comes up, again and again. There is a symmetry to the process in the downward and the upward movements, albeit in opposite directions. The...

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RV 10.78

RV 10.77 and 10.78 are similarly themed sūkta-s to the Marut-s by our ancient clansman Syūmaraśmi Bhārgava. He is mentioned twice by authors within the RV – in RV 1.112.16 by Kutsa Āṅgirasa and in RV...

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Cārucitrābhisambodhi

Chakkalal and Mundalal saw that Gannaram Dakiya, the owner of the little eatery, had taken a bit too much of an ethanolic beverage and had forgotten to lock the safe with his phone, cards and some...

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The zombie obeys: a note on host manipulation by parasites and its ecological...

In 1858-59, as AR Wallace, one of the founders of the modern evolutionary theory, was exploring the Sulawesi Islands, he collected an ant, Polyrachis merops, that he sent over to England. Years later,...

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Two simple stotra-s, sectarian competition, and the Varāha episode from the...

The Ur-Skandapurāṇa (SkP) or the “archaic” Skandapurāṇa ( the Bhaṭṭārāi edition known as the Ambikā-khaṇḍa) is a Śaiva text with affinities to the Pāśupata branch of that tradition. Though it is aware...

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Origins of the serpent cult and Bhāguri’s snake installation from the...

Mathuran Nāga installations From the few centuries preceding it down to the first few centuries of the Common Era we see numerous installations of snake deities, i.e., Nāga-s, at various archaeological...

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Bhāskara-II’s polygons and an algebraic approximation for sines of pi by x

Unlike the Greeks, the Hindus were not particularly obsessed with constructions involving just a compass and a straightedge. Nevertheless, their pre-modern architecture and yantra-s from the tāntrika...

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The Vyomavyāpin in the Pāśupata-tantra and a discursion on nine-fold...

The Pāśupata-tantra is a poorly understood śaiva text that is believed to be affiliated with the Pāśupata tradition of Lakulīśa. While the colophons of some manuscripts present it as...

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Comet C/2022 E3 (ZTF)

The dispiriting cloud cover lifted briefly on two nights (Wed 8/2/2023 and Fri 10/2/2023) finally giving us an opportunity to catch the latest Agni-putra-ketu in the welkin, Comet C/2022 E3 (ZTF). On...

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Some ruminations on asteroids and meteoritic falls

Recently, we received the news of a Russian spacecraft meant to bring some astronauts back to earth being hit by a meteorite. In early February we saw an obscure news item of the sighting of a meteoric...

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The dreadful apport

Vrishchika had just finished her work on the diagnosis and possible treatment plan for a pediatric neurological patient on whom she was consulted. She had inferred that the child’s condition arose from...

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Yantrasiddhi

The March 24 version of ChatGPT’s attempt at drawing the flag of India. It made an error in the color specification of “NavyBlue” in the xcolor package. We corrected that in order to let it compile....

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Tricakra

The Sintashta-Petrovka cultures (today Southern Urals, core Russia, and Kazakhstan) provide the first uncontested evidence for chariot technology. They are believed to have started around 2100 BCE and...

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The rise of yajña and Kauśika exceptionalism

The extant Vedic ritual is bifurcated into two domains the gṛhya (the household rites and rites of passage) and the śrauta (large-scale/grand rituals). First, in operational terms, they are...

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The rise of the psychopath oligarchy

There are certain things in (geo)politics that are largely unsurprising to us because we had seen their seeds over a decade or two ago. In part, we were able to infer several things correctly in...

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Khitans and Mongols: A story of deep and persistent connections-1

While the Chingizid Mongols have long been the focus of students of medieval steppe history, studies over the past 50 years have been steadily contributing to the picture that they were heirs of a...

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Looking back at the goroga attacks and forward at geopolitical developments

An acquaintance recently asked us if we remembered the famous goroga attacks in the mahāmleccha lands. We had to confess that they were hardly the top thing on our mind, though we had repeatedly...

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Turks, Khitans and Mongols: the ethnographic journeys of P.T. 1283

An introduction to P.T. 1283 and its historical context This may be seen as an appendix to the previous exposition on early Mongolic and Para-Mongolic history. There we briefly alluded to the famous...

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The gods in triples

It is clear that every civilization has its own unique manifest characteristics coming from the depths of its people. One such distinguishing characteristic of the Hindu civilization is the love for...

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Ones, twos, threes … hundreds and thousands in the Ṛgveda

In the previous note, we looked at some special numbers relating to the count of the gods in the Veda and the influence of the Proto-Indo-European tripartition on them. Here we more generally look at...

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A short note on an ancient Vedic poetic formula and an obscure word

A couple of ṛk-s, respectively from maṇḍala-s 6 and 7 of the Ṛgveda, are rather striking for their parallel structure: You are the bull of Heaven, the bull of Earth, the bull of the rivers, the bull of...

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Gabhavāda in the dark age ushered by Piṇḍaka’s regime

As we have remarked before, the placing of Vṛddha-piṇḍaka on the rājāsandī was accompanied by the triumph of the navyonmatta-s. Watching the action of the navyonmatta-s gives one a ringside view of how...

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A meandering through Mongol epic-historic narratives: fraternal conflict and...

The Mongolic and Turkic peoples have a rather rich tradition of oral epics that have not yet been comprehensively analyzed from a comparative mythological perspective. Some of these extant epics...

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The ghost of the man named Lilavinodan

This is the second of the Charuchitra series: Even if the story narrated were to resemble real-life incidents, all characters in it are fictitious. With the exam behind him, Somakhya relapsed into his...

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The counting square and divisor functions

Leonhard Euler’s discovery of the zeta function in the course of solving the Basel problem was one of those momentous “unifications” in mathematics with deep philosophical implications that eventually...

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A Geopolitical meandering, October 2023

Sir Francis Drake, buccaneer bold and bloody, Sailed the seas in a gold-grabbing spree, With the Golden Hind, he circled the Earth wide – A murdering marauder on the swelling tide. Slaving in West...

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A prayoga of the Hiraṇyakeśin-s

To our knowledge, the Hiraṇyakeśin branch of the Taittirīyaka-s is today only found in pockets in Mahārāṣṭra and the Drāviḍa states. While they follow the Taittirīya-śruti like other Taittirīyaka-s,...

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Theology and AI

A key feature of most polytheistic religions, typically natural religions, is the importance of a multiplicity of visualizations of deities. This visualization might be solely mental/textual or...

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Some historico-linguistic considerations on Indo-Aryan

Over the past decade, the “Black” Kalasha people from the Chitral (<Skt. Kṣetra) region of the Islamic state in Northwestern India have been under increasing pressure from the Tehrik-e Taliban...

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Notes on the Vaiṣṇava retinue deities-1

The śaiva pattern of worship, which is especially emphasized in the Iśāna-srotas (siddhānta), features the Nirmālya-devatā, Caṇḍeśvara with roots in the older Pāśupata atimārga. This deity receives...

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Some snippets from early Indo-Sinitic probabilistic prognostication texts

The below is the barest sketch of a topic that has already been treated in multiple book-length works by learned scholars of the Orient. However, none of these works were entirely familiar with the...

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The Dalāl who became a poltergeist

Lootika had returned from a scientific competition, which had been held in the dreadful city of Mahāvisphoṭaka, like the victorious Roman army after sacking the towns of West Asian...

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Some relationships involving the triangle incenter and circumcenter

While triangle centers (e.g., incenter, centroid circumcenter) are captivating to the amateur and mathematician alike, their serious investigation is a relatively modern pursuit. A major push in their...

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Some further notes on the Mongol religion-3

The core of the material discussed in this note is based on the publications of the Hungarian-Mongolian Joint Expedition studying folk traditions in Mongolia and the masterly work of Igor de Rachewiltz...

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The crossover with Dabba Seṭṭhīputta

It was a Śivarātrī. Vidrum accompanied his friends Somakhya and Lootika to visit the small shrine of Rudra in the cemetery beside his house. It was one of the rare days when the normally deserted...

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The visitation on the knoll

It was the time Somakhya and Indrasena were by themselves — without their companions — for that is close to the ultimate test of a man. At that point, they were working on the mysterious three-gene...

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Indian elections 2024

The ways of the fierce gods are not easy for men to comprehend with their finite lives. A course of five years might seem like nothing in historical time, but the dice rolled by the gods in that window...

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The sixteen-fold Puruṣa

The Puruṣa-sūkta, or the chant of Puruṣa-Nārāyaṇa, is a late Vedic composition with multiple variants that occupies a focal position in the history of the Indo-Aryan strand of the Indo-European...

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Giordano Bruno: science in the midst of magic and spirits

We had originally wished to write a piece or two about the system of thought of the great Renaissance thinker Giordano Bruno, but, as ever, the attempt to be comprehensive came in the way of producing...

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Through the rear-view mirror

A trail of memories, both victorious and unkind, In the rear-view mirror’s gaze, I find. Through the dusty glass, I see my past, A journey in Indian dust marked by shadows cast. Yet in the mirror’s...

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Analyzing Vedic texts using word embeddings

Word2Vec is a natural language processing technique developed by Mikolov and colleagues that generates word embeddings, i.e., dense vector representations of words in a text, which capture their...

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The tangled pantheon: Shinto, Indian, Cīna and Koreanic in the Japonic...

While heavily influenced by the Sinitic transmissions, Japan retained its own unique traditions throughout the historical period. While the curtain of history lifts up late in Japan compared to the...

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Elephant-speak

Proboscideans are mammals with a deep evolutionary history of sociality and high intelligence (not immediately apparent from encephalization alone) that made them potential rivals as well as candidates...

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The Aurora Borealis and Comet C/2023 A3 Tsuchinshan-ATLAS

dhūmaketum bhāṛjīkaṃ vyuṣṭiṣu yajñānām adhvaraśriyam ॥[We elect Agni…] the comet, with smoky radiance, at the break of the dawns, the opulence of the ceremonies of the sacrifice.-A cometary metaphor...

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A geopolitical round-up: Vijayavijaya and related issues

In earlier accounts, we have detailed how the Mahāmleccha Deep State had engineered the uccāṭana of Vijaya-nāma-vyāpārin. In a dramatic reversal of fate, the Picchilaka made a comeback against all odds...

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Some notes on the Mantra-brāhmaṇa of the Sāmaveda with a focus on Virūpākṣa...

Of the Sāmavedic schools, the Kauthuma-s follow the śrautasūtra of Lāṭyāyana and the gṛhyasūtra of Gobhila. The Rāṇāyanīya-s follow the śrautasūtra of Drāhyāyaṇa and the gṛhyasūtra of Khādira (also...

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An attractor generating the projection of a 3D torus on a plane

The attractor in consideration was probably rediscovered by multiple explorers of chaotic maps in the early days of the computational exploration of such objects. We first discovered it in our 14th or...

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The Dvādaśa-śloka of the Paścimāmnāya

Rudraśakti While the four core āmnāya-s of the kaula tradition are presented by its texts (e.g., Ciñciṇīmata-sāra-samuccaya) as directional lodges, they also have an evolutionary relationship between...

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Some notes on the Haṃsa in mantra traditions crisscrossing the Smārta-Śaiva...

The haṃsa (the divine swan/gander) is identified across Hindu mantra traditions with the breath cycle. While this mantra is vocalized as so.ahaṃ haṃsaḥ । (the haṃsa mantra), it is also identified with...

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The Uttarāmnāya and the Trailokya-mohana-kavaca

A “depiction’’ of the deity of the Uttarāmnāya manifesting in viyat-pada during the 17-fold meditation yugapad yānti yatra+āśu sāmarasyaṃ viyatpade । nistaraṅge nirābhāse pare saptadaśābhidhe ॥...

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