Showing posts with label ARYABHATTA. Show all posts
Showing posts with label ARYABHATTA. Show all posts

Tuesday, August 25, 2015

Advancement of science and mathematics a gift of India to world

Advancement of science and mathematics.
AKS The Primality Test. .The AKS primality test is a deterministic primality-proving algorithm created and published by three Indian Institute of Technology Kanpur computer scientists, Manindra Agrawal, Neeraj Kayal, and Nitin Saxena on 6 August 2002 in a paper titled PRIMES is in P, Commenting on the impact of this discovery, Paul Leyland noted: "One reason for the excitement within the mathematical community is not only does this algorithm settle a long-standing problem, it also does so in a brilliantly simple manner. Everyone is now wondering what else has been similarly overlooked".
Baudhāyana, (fl. c. 800 BCE)[1] was the author of the Baudhayana sūtras, which cover dharma, daily ritual, mathematics, etc. He belongs to the Yajurveda school, and is older than the other sūtra author Āpastamba. He was the author of the earliest of the Shulba Sutras—appendices to the Vedas giving rules for the construction of altars—called the Baudhāyana Śulbasûtra. These are notable from the point of view of mathematics, for containing several important mathematical results, including giving a value of pi to some degree of precision, and stating a version of what is now known as the Pythagorean theorem. Sequences associated with primitive Pythagorean triples have been named Baudhayana sequences. These sequences have been used in cryptography as random sequences and for the generation of keys
Finite Difference Interpolation: The Indian mathematician Brahmagupta presented what is possibly the first instance[97 of finite difference interpolation around 665 CE.
Algebraic abbreviations: The mathematician Brahmagupta had begun using abbreviations for unknowns by the 7th century. He employed abbreviations for multiple unknowns occurring in one complex problem. Brahmagupta also used abbreviations for square roots and cube roots.
Basu's theorem: The Basu's theorem, a result of Debabrata Basu (1955) states that any complete sufficient statistic is independent of any ancillary statistic.
Brahmagupta–Fibonacci identity, Brahmagupta formula, Brahmagupta matrix, and Brahmagupta theorem: Discovered by the Indian mathematician, Brahmagupta (598–668 CE).
Chakravala method: The Chakravala method, a cyclic algorithm to solve indeterminate quadratic equations is commonly attributed to Bhāskara II, (c. 1114 – 1185 CE) although some attribute it to Jayadeva (c. 950~1000 CE).Jayadeva pointed out that Brahmagupta’s approach to solving equations of this type would yield infinitely large number of solutions, to which he then described a general method of solving such equations. Jayadeva's method was later refined by Bhāskara II in his Bijaganita treatise to be known as the Chakravala method, chakra (derived from cakraṃ चक्रं) meaning 'wheel' in Sanskrit, relevant to the cyclic nature of the algorithm. With reference to the Chakravala method, E. O. Selenuis held that no European performances at the time of Bhāskara, nor much later, came up to its marvellous height of mathematical complexity.
Hindu number system: With decimal place-value and a symbol for zero, this system was the ancestor of the widely used Arabic numeral system. It was developed in the Indian subcontinent between the 1st and 6th centuries CE.
Fibonacci numbers: This sequence was first described by Virahanka (c. 700 AD), Gopāla (c. 1135), and Hemachandra (c as an outgrowth of the earlier writings on Sanskrit prosody by Pingala (c. 200 BC).
Zero, symbol: Indians were the first to use the zero as a symbol and in arithmetic operations, although Babylonians used zero to signify the 'absent'. In those earlier times a blank space was used to denote zero, later when it created confusion a dot was used to denote zero (could be found in Bakhshali manuscript). In 500 AD circa Aryabhata again gave a new symbol for zero (0).
Law of signs in multiplication: The earliest use of notation for negative numbers, as subtrahend, is credited by scholars to the Chinese, dating back to the 2nd century BC. Like the Chinese, the Indians used negative numbers as subtrahend, but were the first to establish the "law of signs" with regards to the multiplication of positive and negative numbers, which did not appear in Chinese texts until 1299. Indian mathematicians were aware of negative numbers by the 7th century, and their role in mathematical problems of debt was understood. Mostly consistent and correct rules for working with negative numbers were formulated, and the diffusion of these rules led the Arab intermediaries to pass it on to Europe.
Madhava series: The infinite series for π and for the trigonometric sine, cosine, and arctangent is now attributed to Madhava of Sangamagrama (c. 1340 – 1425) and his Kerala school of astronomy and mathematics. He made use of the series expansion of \arctan x to obtain an infinite series expression for π.Their rational approximation of the error for the finite sum of their series are of particular interest. They manipulated the error term to derive a faster converging series for π. They used the improved series to derive a rational expression,104348/33215 for π correct up to eleven decimal places, i.e. 3.14159265359. Madhava of Sangamagrama and his successors at the Kerala school of astronomy and mathematics used geometric methods to derive large sum approximations for sine, cosin, and arttangent. They found a number of special cases of series later derived by Brook Taylor series. They also found the second-order Taylor approximations for these functions, and the third-order Taylor approximation for sine.
Pascal's triangle: Described in the 6th century CE by Varahamihira[, and in the 10th century by Halayudha,, commenting on an obscure reference by Pingala (the author of an earlier work on prosody) to the "Meru-prastaara", or the "Staircase of Mount Meru", in relation to binomial coefficients. (It was also independently discovered in the 10th or 11th century in Persia and China.)
Pell's equation, integral solution for: About a thousand years before Pell's time, Indian scholar Brahmagupta (598–668 CE) was able to find integral solutions to vargaprakṛiti (Pell's equation) \ x^2-Ny^2=1, where N is a nonsquare integer, in his Brâhma-sphuṭa-siddhânta treatise.
Ramanujan theta function, Ramanujan prime, Ramanujan summation, Ramanujan graph and Ramanujan's sum: Discovered by the Indian mathematician Srinivasa Ramanujan in the early 20th century.
Shrikhande graph: Graph invented by the Indian mathematician S.S. Shrikhande in 1959.
Sign convention: Symbols, signs and mathematical notation were employed in an early form in India by the 6th century when the mathematician-astronomer Aryabhata recommended the use of letters to represent unknown quantities. By the 7th century Brahmagupta had already begun using abbreviations for unknowns, even for multiple unknowns occurring in one complex problem. Brahmagupta also managed to use abbreviations for square roots and cube roots. By the 7th century fractions were written in a manner similar to the modern times, except for the bar separating the numerator and the denominator. A dot symbol for negative numbers was also employed. The Bakhshali Manuscript displays a cross, much like the modern '+' sign, except that it symbolized subtraction when written just after the number affected. The '=' sign for equality did not exist. Indian mathematics was transmitted to the Islamic world where this notation was seldom accepted initially and the scribes continued to write mathematics in full and without symbols.
Trigonometry was invented in India.* Trigonometric functions (adapted from Greek): * Trigonometric functions (adapted from Greek): The trigonometric functions sine and versine originated in Indian astronomy, adapted from the full-chord Greek versions (to the modern half-chord versions). They were described in detail by Aryabhata in the late 5th century, but were likely developed earlier in the Siddhantas, astronomical treatises of the 3rd or 4th century.Later, the 6th-century astronomer Varahamihira discovered a few basic trigonometric formulas and identities, such as sin^2(x) + cos^2(x) = 1. The first use of the idea of ‘sine’ in the way we use it today was in the work Aryabhatiyam by Aryabhata, in A.D. 500. Aryabhata used the word ardha-jya for the half-chord, which was shortened to jya or jiva in due course. When the Aryabhatiyam was translated into Arabic, the word jiva was retained as it is. The word jiva was translated into sinus, which means curve, when the Arabic version was translated into Latin. Soon the word sinus, also used as sine, became common in mathematical texts throughout Europe. An English Professor of astronomy Edmund Gunter (1581–1626), first used the abbreviated notation ‘sin’. The origin of the terms ‘cosine’ and ‘tangent’ was much later. The cosine function arose from the need to compute the sine of the complementary angle. Aryabhatta called it kotijya. The name cosinus originated with Edmund Gunter. In 1674, the English Mathematician Sir Jonas Moore first used the abbreviated notation ‘cos’.
Cataract in the Human Eye—magnified view seen on examination with a slit lamp. Indian surgeon Susruta performed cataract surgery by the 6th century BCE.
Amastigotes in a chorionic villus. Upendranath Brahmachari (19 December 1873 – February 6, 1946) discovered Urea Stibamine, a treatment which helped nearly eradicate Visceral leishmaniasis.
Ayurvedic and Siddha medicine: Ayurveda and Siddha are ancient and traditional systems of medicine. Ayurveda dates back to Iron Age India (1st millennium BC) and still practiced today as a form of complementary and alternative medicine. It means "knowledge for longevity". Siddha medicine is mostly prevalent in South India. Herbs and minerals are basic raw materials of the Siddha system which dates back to the period of siddha saints around the 5th century BC.
Cataract surgery: Cataract surgery was known to the Indian physician Sushruta (6th century BCE). In India, cataract surgery was performed with a special tool called the Jabamukhi Salaka, a curved needle used to loosen the lens and push the cataract out of the field of vision] The eye would later be soaked with warm butter and then bandaged. Though this method was successful, Susruta cautioned that cataract surgery should only be performed when absolutely necessary. Greek philosophers and scientists traveled to India where these surgeries were performed by physicians. The removal of cataract by surgery was also introduced into China from India.
Cure for Leprosy: Kearns & Nash (2008) state that the first mention of leprosy is described in the Indian medical treatise Sushruta Samhita (6th century BCE). However, The Oxford Illustrated Companion to Medicine holds that the mention of leprosy, as well as ritualistic cures for it, were described in the Atharva-veda (1500–1200 BCE), written before the Sushruta Samhita.
Plastic surgery: Plastic surgery was being carried out in India by 2000 BCE. The system of punishment by deforming a miscreant's body may have led to an increase in demand for this practice.The surgeon Sushruta contributed mainly to the field of plastic and cataract surgery. The medical works of both Sushruta and Charak were translated into Arabic language during the Abbasid Caliphate (750 CE). These translated Arabic works made their way into Europe via intermediaries. In Italy the Branca family of Sicily and Gaspare Tagliacozzi of Bologna became familiar with the techniques of Sushruta.
Lithiasis treatment: The earliest operation for treating lithiasis, or the formations of stones in the body, is also given in the Sushruta Samhita (6th century BCE). The operation involved exposure and going up through the floor of the bladder.
Visceral leishmaniasis, treatment of: The Indian (Bengali) medical practitioner Upendranath Brahmachari (19 December 1873 – 6 February 1946) was nominated for the Nobel Prize in Physiology or Medicine in 1929 for his discovery of 'ureastibamine (antimonial compound for treatment of kala azar) and a new disease, post-kalaazar dermal leishmanoid.' Brahmachari's cure for Visceral leishmaniasis was the urea salt of para-amino-phenyl stibnic acid which he called Urea Stibamine. Following the discovery of Urea Stibamine, Visceral leishmaniasis was largely eradicated from the world, except for some underdeveloped regions.
Wikipedia The Free Encyclopedia
Some Images:
Wikipedia The Free Encyclopedia.

Wednesday, April 8, 2015


Born in 476 CE in Kusumpur ( Bihar ), Aryabhatt's intellectual brilliance remapped the boundaries of mathematics and astronomy. In 499 CE, at the age of 23, he wrote a text on astronomy and an unparallel treatise on mathematics called "Aryabhatiyam." He formulated the process of calculating the motion of planets and the time of eclipses. Aryabhatt was the first to proclaim that the earth is round, it rotates on its axis, orbits the sun and is suspended in space - 1000 years before Copernicus published his heliocentric theory. He is also acknowledged for calculating p (Pi) to four decimal places: 3.1416 and the sine table in trigonometry. Centuries later, in 825 CE, the Arab mathematician, Mohammed Ibna Musa credited the value of Pi to the Indians, "This value has been given by the Hindus." And above all, his most spectacular contribution was the concept of zero without which modern computer technology would have been non-existent. Aryabhatt was a colossus in the field of mathematics.

Sunday, April 5, 2015

Aryabhata about Earth and Eclipse

Aryabhatta is the first famous mathematician and astronomer of Ancient India. In his book Aryabhatteeyam, Aryabhatta clearly provides his birth data. In the 10th stanza, he says that when 60 x 6 = 360 years elapsed in this Kali Yuga, he was 23 years old. The stanza of the sloka starts with “Shastyabdanam Shadbhiryada vyateetastra yascha yuga padah.” “Shastyabdanam Shadbhi” means 60 x 6 = 360. While printing the manuscript, the word “Shadbhi” was altered to “Shasti”, which implies 60 x 60 = 3600 years after Kali Era. As a result of this intentional arbitrary change, Aryabhatta’s birth time was fixed as 476 A.D Since in every genuine manuscript, we find the word “Shadbhi” and not the altered “Shasti”, it is clear that Aryabhatta was 23 years old in 360 Kali Era or 2742 B.C. This implies that Aryabhatta was born in 337 Kali Era or 2765 B.C. and therefore could not have lived around 500 A.D., as manufactured by the Indologists to fit their invented framework.
Bhaskara I is the earliest known commentator of Aryabhatta’s works. His exact time is not known except that he was in between Aryabhatta (2765 B.C.) and Varahamihira (123 B.C.)." The implications are profound , if indeed this is the case.The zero is by then in widespread use and if he uses Classical Sanskrit then he ante dates Panini. Bhaskara mentions the names of Latadeva, Nisanku and Panduranga Svami as disciples of Aryabhatta.

Time to tell the world we dont believe in their theories !!!

Sunday, March 29, 2015

Aryabhata contributes ‘ZERO, Pi’ etc to Mathematics and calculates Eclipses in Astronomy

Aryabhata, born in 476 CE, was the first in the line of great mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy.
There is a general tendency to misspell his name as “Aryabhatta” by analogy with other names having the “bhatta” suffix, but all his astronomical text spells his name as Aryabhata.
He mentions in his work Aryabhatiya that it was composed 3,630 years into the Kali Yuga, when he was 23 years old. This corresponds to 499 CE, and implies that he was born in 476
Though his birthplace is uncertain, he went to Kusumapura (Pataliputra or modern day Patna) for advanced studies and lived there for sometime as the head of an institution (kulapati).
Aryabhata is also reputed to have set up an observatory at the Sun temple in Taregana, Bihar.
He wrote many books on mathematics, astronomy etc but most of them are lost today.
His major work, Aryabhatiya, a compendium of mathematics and astronomy, was extensively referred to in the Indian mathematical literature and has survived to modern times. The mathematical part of the Aryabhatiya covers arithmetic, algebra, plane trigonometry, and spherical trigonometry. It also contains continued fractions, quadratic equations, sums-of-power series, and a table of sines.
And Arabic translation of Aryabhata’s work is Al ntf or Al-nanf and it claims that it is a translation by Aryabhata, but the original Sanskrit name of this work is not known.

Place Value System and ZERO

The place-value system, first seen in the 3rd-century Bakhshali Manuscript, was clearly in place in his work. While he did not use a symbol for zero, the French mathematician Georges Ifrah explains that knowledge of zero was implicit in Aryabhata’s place-value system as a place holder for the powers of ten with null coefficients.
However, Aryabhata did not use the Brahmi numerals. Continuing the Sanskritic tradition from Vedic times, he used letters of the alphabet to denote numbers, expressing quantities, such as the table of sines in a mnemonic form.

Approximation of π

Aryabhata worked on the approximation for pi (π), and may have come to the conclusion that is irrational. In the second part of the Aryabhatiyam (gaṇitapāda 10), he writes :
caturadhikam śatamaṣṭaguṇam dvāṣaṣṭistathā sahasrāṇām
ayutadvayaviṣkambhasyāsanno vṛttapariṇāhaḥ.
Translation : “Add four to 100, multiply by eight, and then add 62,000. By this rule the circumference of a circle with a diameter of 20,000 can be approached.
This calculates to 3.1416 close to the actual value Pi (3.14159).
Aryabhata used the word āsanna (approaching / approximating), to mean that not only is this an approximation but that the value is incommensurable (or irrational).
This is quite a sophisticated insight, because the irrationality of pi(π) was proved only in 1761 by Johann Heinrich Lambert.
After Aryabhatiya was translated into Arabic (during 820 CE) this approximation was mentioned in Al-Khwarizmi‘s book on algebra.

Contributions in Trigonometry

In Ganitapada 6, Aryabhata gives the area of a triangle as :
tribhujasya phalashariram samadalakoti bhujardhasamvargah
Translation : “for a triangle, the result of a perpendicular with the half-side is the area.
Aryabhata discussed the concept of sine in his work by the name of ardha-jya, which literally means “half-chord (half-wave)“. For simplicity, people started calling it jya.
When Arabic writers translated his works from Sanskrit into Arabic, they referred it as jiba.
However, in Arabic writings, vowels are omitted, and it was abbreviated as jb.
Later writers substituted it with jaib, meaning “pocket” or “fold (in a garment)“.
Later in the 12th century, when Gherardo of Cremona translated these writings from Arabic into Latin, he replaced the Arabic jaib with its Latin counterpart, sinus, which means “cove” or “bay“; thence comes the English SINE.
Alphabetic code has been used by him to define a set of increments. If we use Aryabhata’s table and calculate the value of sin(30) (corresponding to hasjha) which is 1719/3438 = 0.5; the value is correct. His alphabetic code is commonly known as the Aryabhata cipher.

Indeterminate or Diophantine Equations

An example from Bhāskara’s commentary on Aryabhatiya :
Find the number which gives 5 as the remainder when divided by 8, 4 as the remainder when divided by 9, and 1 as the remainder when divided by 7
That is, find N = 8x+5 = 9y+4 = 7z+1. It turns out that the smallest value for N is 85.
They were discussed extensively in ancient Vedic text Baudhayana Sulba Sutras, which date to 800 BCE.
Aryabhata’s method of solving such problems is called the kuṭṭaka (कुट्टक) method.
Kuttaka means “pulverizing” or “breaking into small pieces“, and the method involves a recursive algorithm for writing the original factors in smaller numbers. Today this algorithm, elaborated by Bhaskara in 621 CE, is the standard method for solving first-order diophantine equations and is often referred to as the Aryabhata algorithm.
The diophantine equations are of interest in cryptology, and the RSA Conference, 2006, focused on the kuttaka method and earlier work in the Sulbasutras.
In his contribution towards Algebra, Aryabhata provided elegant results for the summation of series of squares and cubes in his book Aryabhatiya.

Aryabhata’s contributions in Astronomy

Aryabhata’s system of astronomy was called the audAyaka system, in which days are reckoned from sunrise, dawn at lanka or “equator“.
Some of his later writings on astronomy, which apparently proposed a second model (or ardha-rAtrikA, midnight) are lost but can be partly reconstructed from the discussion in Brahmagupta’s khanDakhAdyaka.
In some texts, he seems to ascribe the apparent motions of the heavens to the Earth’s rotation and he may have believed that the planet’s orbits as elliptical rather than circular.
Motions of the Solar System
In the first chapter of his book Aryabhatia, he insisted that the earth rotates about its axis daily, and that the apparent movement of the stars is a relative motion caused by the rotation of the earth, contrary to the then-prevailing view in other parts of the world, that the sky rotated.
Here, he gives the number of rotations of the earth in a yuga, and made more explicit in his gola chapter.
Lunar and Solar eclipses were scientifically explained by Aryabhata by stating that the Moon and planets shine by reflected sunlight.
Instead of the prevailing cosmogony in which eclipses were caused by pseudo-planetary nodes Rahu and Ketu, he explains eclipses in terms of shadows cast by and falling on Earth. Thus, the lunar eclipse occurs when the moon enters into the Earth’s shadow and solar eclipse occurs when Moon intersects Sunrays from falling on Earth.
He discussed the size and extent of the Earth’s shadow (verses gola.38–48) and then provides the computation and the size of the eclipsed part during an eclipse. Later Indian astronomers improved on the calculations, but Aryabhata’s methods provided the core.
His computational paradigm was so accurate that 18th-century scientist Guillaume Le Gentil, during a visit to Pondicherry, India, found the Indian computations of the duration of the lunar eclipse of 30 August 1765 to be short by 41 seconds, whereas his charts (by Tobias Mayer, 1752) were long by 68 seconds.
Sidereal Periods
Considered in modern English units of time, Aryabhata calculated the sidereal rotation (the rotation of the earth referencing the fixed stars) as 23 hours, 56 minutes, and 4.1 seconds; whereas the modern value is 23:56:4.091. Similarly, his value for the length of the sidereal year at 365 days, 6 hours, 12 minutes, and 30 seconds (365.25858 days) is an error of 3 minutes and 20 seconds over the length of a year (365.25636 days).
Aryabhata advocated an astronomical model in which the Earth turns on its own axis. His model also gave corrections (the śīgra anomaly) for the speeds of the planets in the sky in terms of the mean speed of the sun.
Aryabhata’s calculations were based on an underlying heliocentric model, in which the planets orbit the Sun, though this has been rebutted.
citation- booksfact

Sunday, January 4, 2015


God Ayyappa in Kerala was called by Pharoah In ~4000 BC, known as Imhotep , an Indian Maharishi  in Cairo.
He is the God of Egypt, as called by  people of Egypt than the Pharoah himself.
He was a healer,mathmatician, was able to build Pyramids in Egypt,A GOD. 9th AVTAR OF VISHNU(Not Buddha-Who was a great SAGE).
Imhotep or God Ayyappa has symbol of Swastika , and also he had the U Vaishnavite marks on him.
He came in UFO/FLYING SAUCER like Vimana, from Kerala to Egypt and then left to  the Nazca desert plateau or Peru, the Ankor Wat in Cambodia,  Easter Island  , the SE corner (Stonehenge area) of Alaska and an island of Shiva (currently sunk ) in the south Pacific and the Mohenjodaro are of the Vedic Saraswati civilization. These are the MOST ANCIENT and holy areas on this planet.

1) Sphinx at Giza Egypt ( with Narashimha half lion ) and the Sri Yantra based Pyramids.

2) The unbelievable Nazca desert Shiva Lingam trishul ( trident )--the largest 300 metre long , and most impressive petroglyph.Below Nazca ( Mayan Peru ) Shiva's trident ( Tamas- Satva -Rajas ) -- which can be appreciated only from the sky -- used as Vimana landing lights.--the largest of them all.   Ramayana’s Kishkinda Kanda describes the Trident of Nazca Peru

3) The 11000 year old Mohenjodaro city complex ( Indus valley ) which is still radioactive

4) The amazing Hindu temple complex of Ankor Wat of the Meru shape.

5) The Vedic mandala Stonehenge at the SE corner national park of Alaska.

6) The gigantic stone statues of Easter Island, with insciptions of same Rongorongo script found at Mohenjodaro. 
Mohenjodaro tablet is PASHUPATI another name of Lord Shiva ( Rig Veda 5000 BC ).
The druids who built the English Stonehenge also worshiped Lord Shiva
 God CERNUNNOS the Lord Shiva ( with cobra ) of the Druids ( of Harry Potter fame )  or Dryuhus who migrated from Indian Saraswati civilization 4000 BC. This god is holding a cobra

 Distance from Ankor Wat to Giza pyramids is 4754 miles. This multiplied by the Vedic Golden ratio of 1.618 gives 7692 miles which is the distance from Giza to Nazca . Now 7692 miles multiplied by the golden ratio again gives 12446, which is the distance from Nazca to Ankor Wat.

The spherical triangle between Alaska at the apex, Giza and Nazca gives the Sri Yantra angle of 51 degrees 49 minutes 38.25 seconds , which is the same as the Egyptian pyramid, and also the Vedic Sri Yantra.

Distance from Ankor Wat to Giza pyramids is 4754 miles. This multiplied by the Vedic Golden ratio of 1.618 gives 7692 miles which is the distance from Giza to Nazca . Now 7692 miles multiplied by the golden ratio again gives 12446, which is the distance from Nazca to Ankor Wat.

The spherical triangle between Alaska at the apex, Giza and Nazca gives the Sri Yantra angle of 51 degrees 49 minutes 38.25 seconds , which is the same as the Egyptian pyramid, and also the Vedic Sri Yantra.


Below the 8000 year old Sri Yantra mandala , divine fractal geometry , which contains the Theory of everything TOE and the Bindu Singularity

This is ow the Golden mean 1.618 of the Sri Yantra mandala. 

Fibonacci stole his patented series , from Matra Meru written by Pingala in 500 BC-- he ran away to Italy with a Arabic translation from Bejaya,  Algeria. 

Fibonacci series or sequence : 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, ... (each number is the sum of the previous two). The ratio of successive pairs is so-called golden section - 1.618033989

  HAARP system of Alaska was a little more towards south, we would have seen many more such resonating mysteries

On April 4, 1944 at 4:40 a.m. the German submarine U-859 left on a mysterious mission carrying 67 men and 33 tons of mercury sealed in glass bottles in watertight tin crates. The sub was sunk by a British submarine and most of the crew died. One survivor on his death bed about 30 years later told about the expensive cargo and some Naval divers checked out his story and found all the mercury. This was the mercury destined for a secret base in Antartica , near a warm water geo-thermal pond, where a VIMANA construction factory was situated .

Indian INA leader Subhash Chandra Bose was aware of this UFO programme and he had helped Hitler with Sanskrit translations , by using Bengali Sanskrit Pandits.
Indian INA leader Subhash Chandra Bose was aware of this UFO programme and he had helped Hitler with Sanskrit translations , by using Bengali Sanskrit Pandits.

Rudolf Hess NO 2 of Hitler, was incarcerated by Eisenhower and Churchill-- as they knew that Hess knew everything about the Antartica Vimana contruction base.  Hess , a true son of Germany-- refused to reveal theUFO programme  secrets despite severe torture and baits of being a free man..

Vedic Vimanas or flying saucers used mercury vortex ion engines. The ion engine was first demonstrated by German-born NASA scientist Ernst Stuhlinger.  The Vedic texts were taken to Germany by Hermann Gundert.

The use of ion propulsion systems were first demonstrated in space by the NASA Lewis “ Space Electric Rocket Test SERT.. These thrusters used mercury as the reaction mass. The first was SERT 1, launched July 20, 1964, successfully proved that the technology operated as predicted in space. The second test, SERT-II, launched on February 3, 1970, verified the operation of two mercury ion engines for thousands of running hours.

 The kings chamber coffin , of the Giza pyramid  is NOT a coffin . It used to contain mercury, exported from India . The apex of the Giza pyramids used to give a blue glow which could be seen thousands of miles.

 Italian Fibonacci of 1200 AD is given the credit of the Golden ratio, while the Indian Sri Yantra based on Golden ratio of 1.618 was drawn in 8000 BC --see video below.

 The ancient Mayan had seen Indian Vimanas and recorded it on stone.

A German linguist Kurt Schildmann, a native of Heiderhof, says his study of ancient inscriptions discovered in the caves of Peru and the United States shows that they are similar to ancient Indus Valley Sanskrit, suggesting that Indians in Vimanas reached the Americas thousands of years ago.  He describes the Indus civilization as a forerunner of all other world civilizations. While doing "epigraphic research" on the Crespi collection of Cuenca, Peru, Schildmann discovered Sanskrit in inscriptions found in Peru and in the Burrows cave in southern Illinois.  

He also deciphered an icon found in the Burrows' cave, on which he said many details depicted the "wisdom of the Indus culture".  Schildmann was struck by the drawing of an elephant on top of a "Pyramid", with three lines of a legend.  He deciphered the legend as "PIL", that was 6000 years old ancient Sanskrit word for an elephant.  He concluded, the ancient Indian engraved texts on gold plates and hid them to honor the gods and address the succeeding generations.   Elephants are not found in Peru and USA.   In 1821 a man  Joseph Smith found these plates , considered himself the chosen one and founded the Mormon religion..

Before 7000BC , India ruled the whole world.  

After 7000 BC, India ruled from Jerusalem to Urals to Vietnam.

Regarding the Stonehenge at Alaska –

The Rig Veda of 5000 BC, has written down clearly about CIRCUMPOLAR heavenly bodies. . There is a verse that describes the polar dawn as “many were the days between the first beam of light and sunrise”.  

There are verses which state that stars were not seen to rise or set but revolve around the pole completing one revolution in 24 hours—which can happen only in very high latitudes.  

The verses describe the heaven as a wheel which is supported on an axis.
 Another hymn which is presented below mentions that the Sun unyoked his chariot in the middle of the heaven and stood still.
Vi sûryo madhye amuchad ratham divo
vidad dâsâya pratimânam âryah |
Dridhâni Pipror asurasya mâyinah
Indro vyâsyach chakrivâm Rijishvanâ ||
 In 1992 by the side of Narada ( named after Narada Maharishi )  on the eastern side of the Ural mountains, the found unusual, mostly spiral-shaped objects.  The size of these things ranges from a maximum of 3 cm down to an incredible 0.003 mm. 
Thousands of these Vimana parts have been found at the Arkaim Stonehenge and also several other river bank sites . The 20000 year old spiral-form objects are composed of various metals: the larger ones are of copper, while the small and very small ones are of the rare metals tungsten and molybdenum.
The great Indian mystic Vivekananda ( who explained ZPF to Tesla ) had said that it was architects from my home place of Kerala who built Pyramids. Vivekananda had visited the pyramids in 1900. 

He inspected the pyramids for 10 days from 15th  to 25th Nov 1900. He understood and felt the Vaastu pyramid scalar energy there.
 All the Egyptian Pharaohs used Cinnamon for their mummy embalming procedure. This came from Malabar 5500 years ago-- whose capital was Calicut ( my home town ) -- where Vasco da Gama landed in 1498.
 The Indian Mantra of OM or AUM is 11000 years old. When you chant this master mantra with its harmonics at 7.83 Hz ( earth's heart beat --lifted by Schumann ) , the Sri Yantra --which contains the" theory of everything" forms like magic on water --cymatics.
 The whole of Arabia was part of Indian Aryan Emperor Vikramaditya's empire in 7000 BC.
A "chariot to heaven"  titillated the Pharaoh's imagination--  This is the literal meaning of Sri Yantra in Sanskrit . 
The spiritual meaning was about Kundalini or the vortex energy ( fire snake ) from root chakra to the crown pineal gland for opening Shiva's third eye. With the proper sound mantraOM , the gravitational force can be reduced ( levitation ).
 Sri Yantra was revealed in 9000 BC, during the Vedic civilization on the banks of the holy river Saraswati, six thousand years before the first pyramids were built.  It is the foundation of Vaastu ( the original feng shui ).  Vaastu insisted on the PERFECT ,  NESW cardinal orientation--just like the pyramids. Warrior sage Parashurama introduced it to Kerala.
in 1990 a crop circle of Sri Yantra came on a wet lake bed or Oregon --13.3 miles long. Footprints could not be camouflaged here. This photo was taken by a US airforce fighter jet.
 this geometry contains the elusive THEORY OF EVERYTHING. On Dec 21st 2012, the sun will be at the bindu ( cosmic womb )
The 3 vertical ones are what you see on the west bank of Nile.  
51 deg 49 min 38.25 sec are the angle measurements for
both the Egyptian  pyramids and Sri Yantra pyramid. This
can NEVER EVER be a coincidence, as Sri Yantra is too complicated geometry.

Our ancient temples had the pyramid ratio -- to keep prasadam fresh .  A Vaastu pyramid slows down  putrefaction of food.  Sharp sword blades placed in a N/S direction sharpens by itself to razor edges --like magic.
 The Sri Yantra large pyramid, showing exactly the same relationship between pi and phi . The ratio of the hypotenuse to half the base is phi, the Golden Ratio-- or 'divine proportion', given by (1 + square-root 5)/2 (its value to five decimal places is 1.618033989 ).


A golden rectangle is a rectangle whose side lengths are in the golden ratio, 1: 1.618. whose reciprocal is 0.618033989 . . . . . so that we have 1/G = 1 + G.

Fibonacci was a 12th century Italian who studied the 8000 year old Indian Vedic Mathematics from the Arabians at Bejaya, Algeria, and took this knowledge to Europe.  
Aryabhatta born in Kerala ( my home state ) in 2700 BC, was one of the early members of this school.  Aryabhatta was the first to calculate Pi of 3.1416 and the solar year of 365.358 days . He propounded a heliocentric universe 4200 years before Copernicus, with elliptically orbiting planets and a spherical earth spinning on its axis explaining the motion of the heavens. He was the father of plane / spherical Trigonometry and Algebra, when Europe was in the dark ages.. Today you don't see this pioneers name in the list of top 100 mathematicians.

Aryabhatta was the first to compute the circumference of the earth, with an error of just 64 miles.. Aryabhatta gave a method to find the cube root of numbers and dealt with arithmetic,geometric and indeterminate equations in algebra. He dealt with square, cube, triangle, trapezium, circle and sphere in geometry. He was called Arjehir by the Arabs. 

Poor Galileo did a Aryabhatta 4 millenuims years later , that the earth is round and circles the sun , and the church blinded him , so that he can never look into another telescope .

His series is lifted from Pingala the great Indian mathematician of 500 BC and of Virahanka of 6 AD, whose work the Arabs translated into Arabic.

Fibonacci was the first to introduce the Hindu-Arabic number system into Europe- the system we now use today- based on ten digits with its decimal point and a symbol for zero: 1 2 3 4 5 6 7 8 9. and 0

12th century-- Fibonacci series or sequence : 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233,

377, 610, 987, 1597, 2584, 4181, ... (each number is the sum of the previous two). 

The ratio of successive pairs is so-called golden section - 1.618033989 . . . 
Our navels are placed at .618 of our bodies.

The Golden Ratio is a Vedic universal law in which is contained the ground-principle of all formative striving for beauty and completeness in the realms of nature art, structures, forms and proportions, whether cosmic or individual, organic or inorganic, acoustic or optical. This is the future of QUANTUM CONSCIOUSNESS.

The Europeans have taken the credit for themselves ( as they have done for every other stolen idea ) in 1300 AD.  If our Sanskrit texts written 7000 years ago were shepherds verses,  why have they stolen it. Even the encyclopedias give the credit of compass needle to China in 247 BC ( WOW!--how exact! ). Nobody on the planet had an idea what is sun's declination via astronomy . The geographic and the magnetic poles are NOT the same.The North pole is 1600 miles away and the south pole is 2570 kilometers away. 
The ancient people in Kerala found the exact co-ordinates by using a strain of Gandhari mulagu , chillie plant on land. The plant stems show vertical on the Northern side and and horizontal on the southern side. The ancient Kerala sailors sailed to Socotra and Aquaba and Basra using a compass of magnetised fish blade floating on light oil floating on water. This is symbolised by Arjun shooting into the eye of the fish to win Draupadi in 4000 BC. Our temples had magnetised idols which could levitate stolen by Europeans. On the East coast of India too  there was such a temple with levitating idol which disrupted the ship's compass needles of the British East India company.
 A tablet containing this sanskrit verse from Bhagawat Gita of 4000 BC was found in the great Pyramid. It is now in the British Museum. vasanvsi jeernani yatha vihaya, navani ghrunnati naro parani.
Capt. Ajit Vadakayil