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## Mathematical Foundations of Physics From Vedic Periods: A Study and Ideas for Computer Applications

A deep insight into the origin of MATHEMATICAL SCIENCES will show that Mathematics needs the following essential skills: 1. OBSERVATION 2. QUANTIFICATION 3. DERIVATION 4. DOCUMENTATION and 5. MODERNIZATION, which includes knowledge of computer applications.

We will study in this article how VEDIC MATHEMATICS made use of the first four criteria of the Science of mathematics, paves the way for the last criterion, modernization including computerization.

1. MATHEMATICS AS A SCIENCE OF OBSERVATION SINCE THE VEDIC ERA

Nature has its own rhythm and order. Intelligent beings, the moment they are born on Earth, begin to observe the environment around them and observe rhythm and order. Mathematical calculations begin in the early stages of growth.

Even animals have the power to judge space and time. Animals like tiger, cat etc. they judge distances before jumping. This is evident when they catch their prey by leaping distances. Most of the time, they don’t fail. Similarly, birds sense distances and time and travel thousands of kilometers across continents to join their mates.

Therefore, it is the basic instinct of living things to observe, judge and make decisions.

But MAN, by virtue of the unique intelligence it possesses, is able to prescribe various measurement techniques and carry uniform systems of measurements in space and time. Mathematics is a science of observing the Universe around us and measuring things using various techniques. This process has started since the early ages of evolution, such as the search for food, shelter, etc. At present, there are very modern mathematical techniques prevalent through the use of computers; however, the basis remains the same.

VEDAS are the oldest scriptures in the world and we can see that the foundations of mathematics were laid in those times. Some of the observations made by the people of the Vedic age which have led to accurate mathematical calculations are as follows:

* The calculation of the pregnancy period was done accurately. Naturally, this could have been one of the first calculations made by humans. Perhaps even medical science could have started from the study of birth and the subsequent care of mother and child.

* The man, after observing the Earth for a while, looked up and looked at the sky. His keen observations and recording of astral movements gave rise to the new science ASTRONOMY.

* All the calculations relating to the exchange of goods, assets, even if they were made by barter exchange, were based on mathematics.

* Proper times were calculated on the basis of almanacs and calendars, which were based entirely on arithmetic calculations.

* Agricultural cycles, seasons, etc. they were based on a rhythm controlled by mathematics.

* Also fixed the life cycles of various species for a certain period depending on the species.

Thus, every activity in the Universe is controlled by precise mathematical calculations. The Rishis (great Saints) of ancient times, by their simple observation, could calculate, record and also predict the future.

We shall see briefly how the Vedas dealt with the above subject as it is told in the early teachings of mathematics.

2. QUANTIFICATION (SETTING OF BALANCE SHEETS).

In very early ages, there were no fixed stairs. The man used parts of his body and his movements for measurements. He used steps and spans to measure distances, and then multiplied them by several steps and extended to very large distances like light years. Similarly, he used the twinkling of the eyes to measure time and extended such small measurements to millions of years.

MEASUREMENT OF TIME:

As stated in the previous paragraph, the normal blink of the human eye is considered the most fundamental unit of TIME. One NIMESHA is the time required to blink once for a normal human eye. 15 NIMESHAS constitute a single KASHTA. 30 KASHTAS constitute a KALA. 20 KALAS constitute one MUHURTHA. 30 MUHURTHAS constitute a day of the current 24 hours and 30 of these days constitute a month.

Six months constitute one AYANA and one year consists of 2 AYANAS. This year is equivalent to a DAY for the Devas (heavenly subjects or lesser gods). So once again we take 360 days (1 day = 2 ayanas for celestial subjects). This is a year for them. 12,000 of these years are known as 4 Yugs (ages). (Ages). (Krudh Yuga, Dreta Yug, Dwaper Yug and Kali Yug). The age we are living in is the KALI YUG (BLACK AGE). Mil ChaturYug is a day for Brahma, (The Creator). A MANVANTRA is one fourteenth of Brahma’s sun day.

Thus one Manvantra is equal to: 71 Chaturyug, 542 divine years, 10 divine months, 8 divine days, 7 divine Murthas, 4 divine Kalas and 8 divine Kashtas and 8.5 divine Nimeshtas.

These calculations were given by the Vedic Rishi named Parasarar; This is equal to 300 million, 6.7 million, 20,000 human years + 6 chatur Yugs.

This huge scale starts from the simple measurement of eye blinks.

These are quantified by actually calculating the actual motion of the Sun and observing the phases of the moon. The full moon, new moon and eclipses were accurately calculated and hence mathematical derivations were predicted in the early Vedic ages. The two AYANAS (Half Years) are known as Dakshinayana (Movement of the Sun from North to South) and Utharayana (South to North) and the seasons are calculated. Various festivals in India depend on these calculations.

Similarly, arithmetic calculations such as additions, subtractions, multiplications, divisions, arithmetic progressions, geometric progressions, fractions, etc. they also occur in several verses.

3. DERIVATIONS:

Let us consider the geometric construction of ritual sites.

The Vedas were able to solve mathematical problems in the construction of fire altars that have different shapes but occupy the same area. The altars were built with five layers of burnt bricks with the condition that each layer consists of 200 such bricks and that no adjacent layer has a congruent layer of bricks.

The Sulba Sutras (easy formulas) contain the first verbal expression of the Pythagorean theorem as stated in the following Sutra. “The diagonals of an oblong produce both the side and the horizontal,” which is nothing but the theorem of Pythagoras in early times. shape

Representation of the unknown as “X”:

We are aware that in Mathematics, if two variables of a sum are known and the third is not known, we call it X and when the problem is solved, we remove X and put the known number in its place.

Adi Sankara, the founder of Advaita, the well-known Indian philosophy based on Vedic teachings, has used this method to explain the secret of Divinity. Like X which cannot be defined in mathematics, MAYA (Theory of Illusion) cannot be explained in words. Brahmam (the ultimate God) has created this universe using Maya (illusion).

The formula is Brahmam (God) + X=Universe. Therefore, the unknown entity X = Universe-Brahmam.

Adi Sankara gave the concept of illusion to explain this. ie: Universe-Brahmam= Illusion (Maya). So illusion=X.

The moment this Maya is removed, the Universe becomes one with Brahmam. This is the basic teaching of Advaita founded by Adi Sankara.

4. DOCUMENTATION:

As already said, the Vedas were not written. The teachings were passed on to the generation through practice. However, the UPANISHADs were later written as explanations to the Vedic teachings. The saints have documented them in an orderly manner. KATOPANISHAD is one such Upanishad, as written by Nachiketas, a young Vedic scholar, in his discussions with Lord Yama (God of Death).

Likewise, there are several sutras (formulas) that have given calculations to measure distances, mass, area, volume, etc. Any book on Vedic mathematics will be able to give a clear treatment of the above topics. Students with mathematical knowledge are requested to revise and improve their knowledge based on the Vedas.

5. MODERNIZATION:

There may have been so many AGES in the past, but today is the computer age. Everything is recorded in computers and computerization has changed the whole view of life. But there is a clear disadvantage in mechanical knowledge. We can observe that even telephone numbers should be recorded in the machine and referred to from time to time. Modern students have lost the power of memory. But the students of the Vedic period were able to calculate up to the highest degrees of calculation simply by memory. Today’s bits, bytes, megabytes and gigabytes are equivalent to Nimeshas and kashtas of the Vedic period.

Vedic mathematics has been included in the curriculum of some universities. Students are advised to study and specialize in this aspect of study so that they can master the subject of mathematics through mental power. By combining it with modern equipment they can reach new heights to achieve their goals.

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