Hindu units of time
Hindu texts describe units of Kala measurements, from microseconds to Trillions of years.[1]According to these texts, time is cyclic, which repeats itself forever.[2]
Time units
Various units of time are used across the Vedas, Srimad Bagwat Purana,Vishnu Puran, Mahabharata, Suryasidhanta etc.A summary of the Hindu metrics of time (kāla vyavahāra) follows.[3]
Sidereal metrics
Unit | Definition | Relation to SI units | |
---|---|---|---|
Truti | त्रुति | Base unit | ≈ 0.031 µs |
Renu | रेणु | 60 Truti | ≈ 1.86 µs |
Lava | लव | 60 Renu | ≈ 0.11 ms |
Līkṣaka | लीक्षक | 60 Lava | ≈ 6.696 ms |
Lipta | लिप्ता | 60 Leekshaka | ≈ 0.401 s |
Vipala | विपल | ||
Pala | पल | 60 Lipta | ≈ 24.1056 s |
Vighaṭi | विघटि | ||
Vinādī | विनाडी | ||
Ghaṭi | घटि | 60 Vighaṭi | ≈ 24 min |
Nādī | नाडी | ||
Danda | दण्ड | ||
Muhūrta | मुहूर्त | 2 Ghaṭi | ≈ 48 min |
Nakṣatra Ahorātram (Sidereal Day) | नक्षत्र अहोरात्रम् | 60 Ghaṭī | ≈ 24 h |
30 Muhūrta | ≈ 24 h | ||
Unit | Definition | Relation to SI units |
---|---|---|
Truti | Base unit | ≈ 35.5 µs |
Tatpara | 100 Truti | ≈ 3.55 ms |
Nimesha | 30 Tatpara | ≈ 106.7 ms |
Kāṣṭhā | 30 Nimesha | ≈ 3.2 s |
Kalā | 30 Kāṣṭhā | ≈ 1.6 min |
Muhūrta | 30 Kalā | ≈ 48 min |
Nakṣatra Ahorātram (Sidereal Day) | 30 Muhūrta | ≈ 24 h |
Small units of time used in the Vedas
Unit | Definition | Relation to SI units |
---|---|---|
Paramāṇu | Base unit | ≈ 26.3 µs |
Aṇu | 2 Paramāṇu | ≈ 52.67 µs |
Trasareṇu | 3 Aṇu | ≈ 158 µs |
Truṭi | 3 Trasareṇu | ≈ 474 µs |
Vedha | 100 Truṭi | ≈ 47.4 ms |
Lava | 3 Vedha | ≈ 0.14 s |
Nimeṣa | 3 Lava | ≈ 0.43 s |
Kṣaṇa | 3 Nimesha | ≈ 1.28 s |
Kāṣṭhā | 5 Kṣaṇa | ≈ 6.4 s |
Laghu | 15 Kāṣṭhā | ≈ 1.6 min |
Danda | 15 Laghu | ≈ 24 min |
Muhūrta | 2 Danda | ≈ 48 min |
Ahorātram (Day) | 30 Muhūrta | ≈ 24 h |
Masa (Month) | 30 Ahorātram | ≈ 30 days |
Ritu (Season) | 2 Masa | ≈ 2 months |
Ayana | 3 Ritu | ≈ 6 months |
Samvatsara (Year) | 2 Ayana | ≈ 365 days[4] |
Ahorātram of Deva |
Lunar metrics
- A Tithi or lunar day is defined as the time it takes for the longitudinal angle between the moon and the Sun to increase by 12°.Tithis begin at varying times of day and vary in duration from approximately 19 to approximately 26 hours.[5]
- A Paksa (also Pakṣa) or lunar fortnight consists of 15 tithes.[6]
- A Māsa or lunar month (approximately 29.5 days) is divided into 2 Pakṣas: the one between new moon and full moon (waxing) is called gaura or (bright) or Śukla Pakṣa; the one between full moon and new moon (waning) Kṛiṣhṇa (dark) paksha[7]
- A Ṛitu (or season) is 2 Māsa[8]
- An Ayana is 3 Ṛitus[9]
- A year is two Ayanas[10]
Tropical metrics
- A Yāma = 1/4 of a day (light) or night [ = 7½ Gratis (घटि) = 3¾ Muhurtas = 3 Horas (होरा) ]
- Eight Yāmas make half of the day (either day or night)
- An Ahorātra is a tropical day (Note: A day is considered to begin and end at sunrise, not midnight.)[11]
Name | Definition | Equivalence | |
---|---|---|---|
Yama | याम | ¼th of a day (light) or night | ≈ 3 hours |
Sāvana Ahorātram | सावन अहोरात्रम् | 8 Yamas | 1 Solar day |
Reckoning of time among other entities
Among the Pitṛs (forefathers)
- 1 day of pitras = 1 solar masa (month)
- 30 days of pitras = 1 month of pitras
- 12 months of pitras = 1 year of pitras
The Lifespan of the pitras is 100 years of pitras (3,000 Solar years).[12]
Among the Devas
The life span of any Hindu deva spans nearly (or more than) 4.5 million years. Statistically, we can also look it as:
- 12000 Deva Years = Life Span of Devas = 1 Mahā-Yuga.[13]
The Viṣṇu Purāṇa Time measurement section of the Viṣṇu Purāṇa Book I Chapter III explains the above as follows:
- 2 Ayanas (6-month periods, see above) = 1 human year or 1 day of the devas
- 4,000 + 400 + 400 = 4,800 divine years (= 1,728,000 human years) = 1 Satya Yuga[14]
- 3,000 + 300 + 300 = 3,600 divine years (= 1,296,000 human years) = 1 Treta Yuga[15]
- 2,000 + 200 + 200 = 2,400 divine years (= 864,000 human years) = 1 Dvapara Yuga[16]
- 1,000 + 100 + 100 = 1,200 divine years (= 432,000 human years) = 1 Kali Yuga[17]
- 12,000 divine year = 4 Yugas (= 4,320,000 human years) = 1 Mahā-Yuga (also is equaled to 12000 Daiva (divine) Yuga)[18]
- [2*12,000 = 24,000 divine year = 12000 revolutions of sun around its dual][19]
For Brahma
- 1000 Mahā-Yugas = 1 Kalpa = 1 day (day only) of Brahma
(2 Kalpas constitute a day and night of Brahma, 8.64 billion human years)
- 30 days of Brahma = 1 month of Brahma (259.2 billion human years)
- 12 months of Brahma = 1 year of Brahma (3.1104 trillion human years)
- 50 years of Brahma = 1 Parārdha (156,764,160,000,000 human years)
- 2 parardhas = 100 years of Brahma = 1 Para = 1 Mahā-Kalpa (the lifespan of Brahma) (313,528,320,000,000 human years)
One day of Brahma is divided into 1000 parts called charaṇas.[20]
Four Yugas
Yugas can be understood easily by the Set theory. Satya Yuga is the largest set & other yugas are its subsets. It also implies that Satya/Truth exists in all Yugas. The charaṇas are divided as follows:
4 charaṇas (1,728,000 solar years) | Satya Yuga |
3 charaṇas (1,296,000 solar years) | Treta Yuga |
2 charaṇas (864,000 solar years) | Dvapara Yuga |
1 charaṇas (432,000 solar years) | Kali Yuga |
Source: |
The cycle repeats itself, so altogether there are 1,000 cycles of Mahā-Yuga in one day of Brahma.
- One cycle of the above four Yugas is one Mahā-Yuga (4.32 million solar years)
- as is confirmed by the Gītā Śloka 8.17 (statement) "sahasra-yuga-paryantam ahar yad brahmaṇo viduḥ rātriṁ yuga-sahasrāntāṁ te 'ho-rātra-vido janāḥ", meaning, a day of brahma is of 1000 Mahā-Yuga. Thus a day of Brahma, Kalpa, is of duration: 4.32 billion solar years. Two Kalpas constitute a day and night (Adhi Sandhi) of Brahma.[21]
- A Manvantara consists of 71 Mahā-Yuga (306,720,000 solar years). Each Manvantara is ruled by a Manu.[22]
- After each Manvantara follows one Saṃdhi Kāla of the same duration as a Kṛta Yuga (1,728,000 = 4 Charaṇas). (It is said that during a Saṃdhi Kāla, the entire earth is submerged in water.)[23]
- A Kalpa consists of a period of 4.32 Billion solar years followed by 14 Manvataras and Saṃdhi Kalas.[24]
- A day of Brahma equals
- (14 times 71 Mahā-Yuga) + (15 × 4 Charaṇas)
- = 994 Mahā-Yuga + (15 * 4800)
- = 994 Mahā-Yuga + (72,000 years)[deva years] / 6 = 12,000[deva years] viz. one maha yuga.
- = 994 Mahā-Yuga + 6 Mahā-Yuga
- = 1,000 Mahā-Yuga.[25]
See also
- Age of the universe
- Cosmology
- Hindu astronomy
- Hindu calendar
- Indian mathematics
- Indian science and technology
- Indian weights and measures
- Jyotish
- List of numbers in Hindu scriptures
- Minute
- Second
- Universe
- Vedanga Jyotisha
- Vedas
- Yojana
References
- ↑ S.V Gupta. Units of Measurement: Past, Present and Future. International System of Units. Springer. p. 3.
- ↑ Dick Teresi. Lost Discoveries: The Ancient Roots of Modern Science--from the Baby. SimonandSchuster. p. 174.
- ↑ S.V Gupta. Units of Measurement: Past, Present and Future. International System of Units. Springer. p. 4,5.
- ↑ S.V Gupta. Units of Measurement: Past, Present and Future. International System of Units. Springer. p. 5.
- ↑ S.V Gupta. Units of Measurement: Past, Present and Future. International System of Units. Springer. p. 5,6.
- ↑ S.V Gupta. Units of Measurement: Past, Present and Future. International System of Units. Springer. p. 5,6.
- ↑ S.V Gupta. Units of Measurement: Past, Present and Future. International System of Units. Springer. p. 5,6.
- ↑ S.V Gupta. Units of Measurement: Past, Present and Future. International System of Units. Springer. p. 5,6.
- ↑ S.V Gupta. Units of Measurement: Past, Present and Future. International System of Units. Springer. p. 5,6.
- ↑ S.V Gupta. Units of Measurement: Past, Present and Future. International System of Units. Springer. p. 5,6.
- ↑ S.V Gupta. Units of Measurement: Past, Present and Future. International System of Units. Springer. p. 6.
- ↑ S.V Gupta. Units of Measurement: Past, Present and Future. International System of Units. Springer. p. 6.
- ↑ Hans Kng. Tracing The Way: Spiritual Dimensions of the World Religions. A&C Black. p. 50.
- ↑ Hans Kng. Tracing The Way: Spiritual Dimensions of the World Religions. A&C Black. p. 50.
- ↑ Hans Kng. Tracing The Way: Spiritual Dimensions of the World Religions. A&C Black. p. 50.
- ↑ Hans Kng. Tracing The Way: Spiritual Dimensions of the World Religions. A&C Black. p. 50.
- ↑ Hans Kng. Tracing The Way: Spiritual Dimensions of the World Religions. A&C Black. p. 50.
- ↑ Hans Kng. Tracing The Way: Spiritual Dimensions of the World Religions. A&C Black. p. 50.
- ↑ Hans Kng. Tracing The Way: Spiritual Dimensions of the World Religions. A&C Black. p. 50.
- ↑ Bryan E. Penprase. The Power of Stars. Springer. p. 182.
- ↑ Swami Mukundananda. Bhagavad Gita The Song of God.
- ↑ Bryan E. Penprase. The Power of Stars. Springer. p. 182.
- ↑ Bryan E. Penprase. The Power of Stars. Springer. p. 182.
- ↑ Bryan E. Penprase. The Power of Stars. Springer. p. 182.
- ↑ Bryan E. Penprase. The Power of Stars. Springer. p. 182.
- Victor J. Katz. A History of Mathematics: An Introduction, 1998.
External links
- Translation of the Surya Siddhanta (1861)
- Daily Hindu Calendar
- Exegesis of Hindu Cosmological Time Cycles
- Surya Siddhanta, Chapter I with Commentary and Illustrations
- Vedic Time Converter