Monday, 14 November 2011

पुरातन भारतीय विज्ञानं - Ancient sciences


पुरातन भारतीय विज्ञानं 




Let me start with an intersting fact.We all have heard and chanted mantras and shlokas that talk about different gods and stuff.In many of the mantras, there exists inner and scientific meaning too.Here is an example that reveals the value of PI upto THIRTY TWOdecimal places.

If the consonants of the sankrit language are allocated numbers, 
ka-1 ; kha-2 ; Ga-3 ; Gha - 4 and so on so that 1-9 and then 0 are allocated and again repeated from 1. 

The values that it will take up are, 

ka, Ta, pa, ya 1; 
kha, Tha, pha, ra 2; 
ga, Da, ba, la 3; 
Gha, Dha, bha, va 4; 
gna, Na, ma, sha 5; 
ca, ta, Sha 6; 
cha, tha, sa 7; 
ja, da, ha 8; 
jha, dha 9; and 
gna, na 0. 

using this method, a sanskrit verse says this : 

gopi bhagya madhuvrata 
3 1 4 1 5 9 2 6 

srngiso dadhi sandhiga 
5 35 8 9 7 9 3 

khala jivita khatava 
2 3 84 6 2 6 4 

gala hala rasandara 
3 3 8 3 2 7 9 2 

PI/10 is 0.31415926535897932384626433832792.

Could this merely be coincidence ? or a way to remember the value of PI ??  


First we shall make sure that we understand that we have not even seen 50 sutras of the 373 Sutras that exist in theVAISHESHIKA SUTRA.


Now we shall move onto some proved science of our Forefathers.We will actually be seeing Chemistry this post, But we wil ltouch upon the physics of light at last.So let the title of the post remain same and let this continue as part 6 

The vaishehsika sutra about atom states that ; 

That which is existent and has no cause (i.e., an atom) is eternal. It is not perceived but is
inferred from its effect. [ VAISHESHIKA SUTRA 4.1.1-5] 

They also had a classification system of Atoms : 

These atoms are characterized by their characteristic mass, basic molecular structure such as dyad, triad, etc, fluidity (or it’s opposite), viscosity (or its opposite),velocity (or quantity of impressed motion- Vega) and other characteristic potential color,taste, smell or touch not produced by chemical operation.

The Vaisheshika sutra talks anout ATOMIC COMBINATIONS as well. 

KANADA states three possiblities so that two atoms can combine. 

1) Contact produced due to the motion of one and not the other 
2) Both are in motion 
3)Contact by actual contact

Kanada says the atoms conjoin as a result of their inherent tendency, but different atoms combine in different patterns. Some in pairs, others in triads, tetrads and so on, which may happen in two different ways.

Atoms combine =  basic unit /molecule with two, three or n number of units and not two three or n number of dyads where n ≥ 2 

Further
Basic unit of n atoms ≡ 1 atom + 1 atom… n atoms where n≥1.

Prashtapadha, States that every atom has the vibratory motion calledPARISPANDHA.This vibratory motion is the root cause of all the visible and invisible action and operation involving matter.



Now we shall move into the Physics of light.

Light is defined by the school of nyaya and vaishehsika as constituting indefinitely small particles.These particles are neither called anu or paramanu as atoms or sub atomic particles were reffered to earlier.

Thus it makes it clear that they were refering to some thing different that light constituted of (Photons ?! ).

They further mention that these particles radiate themselves i nall directions rectileniarly (rectinear propogation of light ) with conical dispersion and with inconceivable velocity.



These are very ld concepts of light and may be bizzare, but as i mentioned earlier , a couple of centuries after these concepts, Rishi Bharathwaja has Given the construction and working of a SPECTROMETER and it is named as the DWANTHA PRAMAPAKA YANTRA. So most advance physics of light has existed and these were the stepping stones for it.I require every reader to look at these concepts as primitives of their age.

Correct me if i am wrong on the physics part of it. 


Hope you will continue reading when i start writing the next note on either the AERONOTICS. 

Thank you :) DO COMMENT :) 

पुरातन भारतीय विज्ञानं - Gravity


पुरातन भारतीय विज्ञानं 




First, let me start with the the yajur veda, the thaithreeya samhitha. 

"VignAnam BrahmE divyajAnAth. VignanAth Eva kalbimAni bhUthAni jAyanthE !!VignAnEna jAthAni JIvanthi." 
 .                                                                                                        [Thaithreeya upanishad-Bhrughu valli-Mantra 5 ] 

vignanam is science.(mind is also another meaning, it is science here though some ppl consider it as mind also)

The veda explains that science is the absolute god.Everything is created because of science.every living being lives because of science.

With this beautiful verse on science, let us begin our next discussion.

Let us move onto Gravity.As i told you earlier they did know much about gravity thousands of years before newton.
According to Dr.Dean Brown's research sanskrit paved way for many western languages including english.The words of english were exaclty similar to those of ICELANDIC,which inturn is similar to Sanskrit words.

Why i say this you will know after we discuss the following sutra of KANADA MAHARISHI.

SAMYOGA ABHAAVE GRURUTHVAATH PATHANAM [VAISHESHIKA SUTHRA 5.1.7] 

SAMYOGA - CONJUNCTION (here it is to be interpreted  external force )
ABHAAVE - Not existing 
PATHANAM - Falls 
GRURUTHVAATH - GRAVITY !! 

"When there is no external force, the body is falling due to gravity"

Now see the striking similarity between the words gravity in english and gruruthvath in sanskrit !!!! 

NODANA VISHESHABHAAVATH  NA OORDHVAM NA THRAYYAG GAMANAM [VAISHESHIKA SUTRA 5.1.8] 

NODANA - impetus 
VISHESHA ABHAVAATH - Absebce 
NA- NOT 
OORDHVAM - Upwards
THRAYYAG - obliquely (horizontally) 
GAMANAM - Goes 

" In the absence of an external force (impulse is mentioned, we know impulse on a longer note is force) nor does the body move upwards or horizontally." 

There are many more sutras relating to gravity, which also include why birds dont fall but fruits do (same example of fruit taken..Coincidence of apple ?! ).But these need some more detailed analyses, it is tough to interpret the sanskrit.I will write when i am done with them. 

Now we shall see the three states of matter and the nature of the same and the reason for it.

In chapter 2 KANADA explains by three sutras that air is a substance as it exists and is not mystical or anything of that sort.He gives reasons for why it is a substance also.These are three in number and are basics so i am not discussing here, if any one wants, drop in a comment. 

VAYORVAYUSAMMOORCHANAM NANATHVALINGANAM [VAISHESHIKA SUTHRA 2.1.14] 

VAYU - AIR 
MOORCHANAM - COLLISION NANATHVA LINGANAM - PLURALITY

Put together, this means : 

 The nature of physical changes in matter is the terms of work being done on the basic particles that constitute matter.

GASEOUS STATE : 

ANEKA DRAVYA SAMAVAYAATH ROOPA VISHESHACHCHA RUPOPAPALABDHI [ VAISHESHIKA SUTHRA 4.1.8]

ANEKA - MANY ; DRAVYA-substances ; SAMAVAYAATH- COLLISION ; RUPA - Form

The particular nature of air is suggested by the mixing of gases that occurs on their collision. 
despite of being made of atoms and occupying space air fails show orderly movement so its form cannot be perceived. 

SOLID STATE : 

MAHATHYANEKADRAVYAVAKTHVAATH ROOPASCHOPALABDHA: [ VAISHESHIKA SUTRA 4.1.6] 

(word by word meaning same as above sutra) 

Solids occupy space and assume form due to conglomeration of the constituent particles

LIQUID STATE :

APAAM SAMYOGABHAAVE GRURUTHVAATH PATHANAM [VAISHESHIKA SUTRA 5.2.3]

Water too falls if there is no external force, but this is also due to gravity. 

DRAVATHVAATH SYANDANAM 

DRAVATHVAM - Liquidity (fluidity) SYANDANAM - FLOWS 

But it flows due to the property of liquidity. 

NAADYA: VAYUSAMYOGA: AROHANAM 

NADYA: - HEAT ; VAYU- AIR AROHANAM -ASCENTS 

Water when heated ascends as Gas  

APAAM SANGAATHO VILAYANASCHA THEJAAM SAMYOGAM [VAISHESHIKA SUTHRA 5.2.8 ]

Freezing and melting of a liquid as being a result of heat being taken up or given up by its particles.


Thus to summarise the the properties of liwuids as per kanada , 

The (fluid’s) particles possess energy. This causes them to possess the property of fluidity. The heat bearing rays provide the particles with energy to form a gas and rise. The heated particles of air impact the vapor and with this energy it mixes with it. Freezing and melting of a liquid as being a result of heat being taken up or given up by its particles.

With this i conclude this note. Next note we will move onto other aspects of physics that include the nature of chemical reactions and molecular movements and constituents of a body and how a chemical reaction affects them. 

Thanks for reading !! Do comment  !! :) See you in the next note !! until then...here is sumthing to sing along... 

"mruth api cha chandanam asmin deshe !!
gramo grama: sidhdha vanam !!
yathra cha balaa devi swaroopa !!
balaa: sarve shri ramaa: "  

"The sand of india is like valuble sandal 
every village is that of science 
every girl is a goddess 
every boy is a god " !!  

पुरातन भारतीय विज्ञानं - Theory of relativity


पुरातन भारतीय विज्ञानं 



Succesful publish of the fifth part !! feeling happy and proud as an indian !! :) 

As we have already seen that sanskrit paved way for western languages including english, and the striking similarity we saw between the words GRURUTHVAATH which meant GRAVITY, According to Dr.Dean borwn and his research every word is connected. 
This could be a probable connection too.... In indian marriages, the tying of the sacred knot is not regarded as the most important event actually.It is the catching hold of the girl's hand by the boy and saying "may we be together for our whole life " is regarded as the most important event.This is also called, "PAANIGRAHANAM".the relation starts with the hand. So it was called as HASTHA BANDHAM (HASTHA - HAND , BANDHAM- RELATIONSHIP) this could have probably become HUSBAND !!!!  So...Akshat's fact is extended to another word.... :) 

With this interesting introduction..let us move onto the physics part.

 HASTHA KARMANA DAARA KARMA VYAKHYATHAM [ VAISHESHIKA SUTRA 5.1.11] 

Hastha - Hand ; Karma-Work ; Daara - Passive ; Vyakhyatham - Explained 

When the hand holding the body falls freely along with the body it does passive work.

It implies that thre is no work done at 90 Degrees.

KANADA gives lots of examples of Passive work in sutras 5.1.12 - 5.1.16.Since these are examples of the same type We are not discussing it here. 

ISHAVA YUGAPATH SAMYOGA VISHESHA KARMA ANYATVE HETHU: 

YUGAPATH - The path ; Vishesha - particular ; Anyathve - Difference ; Hethu - Reason 

When an arrow is shot , it has different kinetic energies at different points of its route. 

NODANAATH ADHYAM EESHO: KARMA THATH KARMA KAARITHATH CHA SAMSKARAATH UTHTHARAM THATHOTHARAMUTHTHARANCHA [ VAISHESHIKA SUTRA 5.1.7] 

Initially the force (nodana) applied to the arrow produces initial karma (kinetic energy) in the arrow. That energy produces a momentum in the arrow. It is because of this momentum that the arrow goes on going up. As the projectile rises, higher and higher samsakara becomes less and less.

And it is after this that it talks about gravity.This sutra we have already seen , but we will review it for better clarity since it is the extension of the above sutra. 

SAMYOGABHAAVE GRURUTHVAATH PATHANAM [VAISHESHIKA SUTRA 5.1.8] 

and thus the body falls due to gravity. 

This is such a modern way of analysing physics.This type of physics and its analyses was not in existance in europe before the 17th century A.D.

In Addition to this Book of Vaisheshika sutra, There was a rishi by namePRASHTAPATHA,who gave a commentary on this text of vaisheshika sutra,which is named as PADARTHA DHARMA SANGRA: [Nature of matter].
In these texts by prashtapatha, Wide range of physics from Generealphysics to Quantum physics have been handled.

Udhyothakara,Another Vedic Scholar has stated in his work by nameNyayavarthika, that a heavier body falls to ground with greater vega than a lighter body (falling from the same height). That means vega is a combined function of velocity and mass.

Prastapatha Also talks about Bhawana Inertia and Sthithisthapaka Elasticity.

Prashastapada analyses the velocity due to gravity in a freely falling body in quite modern way. He says that the motion of bodies falling from rest starts by gravity alone. This leads to a samsakara, in the same direction. As the force of gravity continues to operate, the further motion of the falling bodies is due to gravity as well as samsakara. Yet further, to this new velocity is added further velocity due to further action of gravity. Thus the velocity goes on increasing. The resultant motion is one but both the causes must be conceived as contributing to the resultant motion.


Five types of simple motion have been identified.
UTHKSHEPANA - Upward Throw 
APAKSHEPANA - Dpwnward throw 
AKUNCHANA    - Attraction 
PRASARANA    - Repulsion 
GAMANA          - Motion 

Further, it is stated that , 

DIG PRADESHA SAMOGA VIBHAAGA KARANAM 

Cause of translatory motions is new contact with a point in space then separation with that point in the next short interval of time and a new contact with the next point in space-field.

This gives us a picture of the mordern concept of dx/dt for velocity.

YATH ADRAVYATHAAM THATH KRIYAVANNA BHAVATHI 

Thus Matter is defined by its capacity to gain momentum by application of force. 

Let us look at some other conceptual terms that prashtapathaa talks about along with their english meanings and put them together to form a meaningful physics statement.

Karma                                                                                  - Energy 
Kshanikathwam                                                                   - Instantaneous 
Murta Dravya Vrititwam                                                      - belonging to material substances 
Sva karya samyoga virodhitwam                                         -is done on doing work by itself 
Swa parasharya amavetha karya arambakatwam              - can initiate work on assosiation with anoother body 
prathi niyatha jaathi yogithwam                                          - is based on various types of motions 
Dravya anarambhakathwam                                               - cannot form material substances 
Dig Vishaya karya arambhakathwam                                  - causes motion in  a specified direction. 

With all these concepts told by prashtapatha in the above mentioned order, it can be concatenated to bring together the definition of vector.(look at the last concept....It says in a specified direction).

Further, Prashtapatha Mentioned different types of motions. 

Gamana    - Curvillenear motion or speed 
Bhramana - rotatory motion 
Spandana - harmonic / vibratory motion 

He also talk about Angular momentum.He calls this concept as Avayavina: samskaraath.

Prashtapatha is also credited with the work on theory of relativity.This theory has been in existance in india for along period of time.Vedantha has been making use of this theory to the fullest.

Apeksha budhi is the term given for relativity.

Schools of vedantha have this thought on Relativity : 

Time is something eternal, it is an eternal dimension of existence. But it is relative also and its perception is dependent on the conditions of the subject perceiving it. Many of the features of time are like that of space. It is adhara of events in the same way as space is adhara of objects. Time is anashrita (not dependant, not requiring others). On that account also it is very much like space. It is also suggested that in the very beginning of universe, it was a condensed form of time from which everything emerged.


Now that we are done with prashtapatha's commentary on Vaishehsika sutras also, We will move onto the physics of light in the next note and proceed further. 

पुरातन भारतीय विज्ञानं - Newton's Second law


पुरातन भारतीय विज्ञानं 

the opening for last note was from sulbha sutra with bodhayana's theorem on right angled triangles.Now shall we go into the calculation of value of PI by our vedic scholors and then get back to our physics subsequently. 

Aryabhatta says in his work (aryabhateeyum) : 


" CHATHUR ADHIKAM SHATHAMASHADGUNAM DWISHASHTISTHATHA: SAHASRANAAM 
  AYUTHADVAYA VISHKAMBHYASYASANNO VRUTHTHA PARINAAHA: "  

This is the value of pi given in words. it means 3.146 !!! 

Yet another interesting fact about the science of light. Physics says that sunlight (white light) is split into 7 constituent colours.This fact is mentioned in the RIGVEDA (oldest of the Vedas) it says; 

SAPTHA SURYASYA RASAMAYAHA [RIG VEDA 5.45.9] 

SAPTHA - SEVEN ; SURYA -SUN 

It says. Seven horses draw the chariot of SUN. Meaning its constituents are seven in number.

With this interesting introduction, Let us get back to our Vaisheshika Sutras.

KARMA KARMA SAADHYAM NA VIDYATHE [ VAISHESHIKA SUTRA 1.1.11]

KARMA - Energy NA-Not SADHYAM- Possible

An energy cannot change into another energy without the intervention of work.



Now we shall move into discussing Potential and Kinetic energy by way of VAISHEHSIKA SUTRAS. The following two sutras may sound abstract but their meaning when put together makes sense.They explain the concept with the help of an example. 

ATMA SAMYOGA PRAYATNABHYAM HASTHE KARMA 

Atma- individual ; Prayatnam-effort ; karma - energy ; Hastha- Hand 

Link with an individual and his efforts, Produces energy. 

THATHA HASTHA SAMYOGAATH MUSAALE KARMA 

Work done by hand transfers karma into the body lifted by it. 

When we combine the above sutras, we infer that, 

" When hand lifts a body, although work is done by the hand, yet, the body develops potential energy.this illustrates that work done by one object on another can produce energy in the object " 

ABHIGAATAJE MUSALADOU KARMANI VYAKTHIREKAATH AKAARANAM HASTHA SAMYOGA: [VAISHESHIKA SUTRA 5.1.3] 

MUSALA-Pulverizer ; Akaaranam- not the reason ; Hastha- hand 

The pulverizer hits the base, and rebounds. This is a collision‟ or abhighata”. The energy generated in the pulverizor on account of the „collision‟ is not caused due to contact with hand.

THATHA AATMA SAMYOGO HASTA KARMANI [VAISHESHIKA SUTRA 5.1.4]

And because of same reasons, the link with self is not the cause of (generation of) energy in the hand (following the collision).

RISHI describes a perfectly elastic collision or recoil of polverizer with the base. The pulverizer rebounds while the hand is holding it passively. Maharishi kanada is aware that when the pulverizer hits the base, this action has an equal and opposite reaction. This becomes clear from the following sutras which imply that the pulverizer rises to its original height without any effort by holding hand

ABHIGHATHATH MUSALA SAMYOGAATH HASTHE KARMA [VAISHESHIKA SUTRA  5.1.5]

the two causes of generation of energy is the collision of body (pulorizer) with the base and hands contact with the body. 

ATHMA KARMA HASTA SAMYOGAATH CHA [VAISHESHIKA SUTRA 5.1.6]

in this way, energy generated can be due to the hands connection with the object or due to its link with itself. 

Thus put together : 

Something cannot have movement by its own. The force needs to be exerted on it from outside. The hand in this example, gets motion and thereby energy by different agents external to hand; either by the sefl i.e. force applied by the individual or by force applied on it by rebounding pulverizor.

As we are familiar with this background, now see KANADA,who lived in the BCs give us what is called Newton's Second law known today !!! 

This sutra that we are going to see as the first, we have already discussed, but we will just have a glance at it, because the law proposed by kanada has this as a base.

NODANA VISHESHA ABHAVAATH, NA URDHVAM NA THRAYYAG GAMANAM 

The projectile cannot move upwards or obliquely unless there is an impulse created. 

PRAYATNA VISHESHAAT NODANA VISHESHA:   [ VAISHESHIKA SUTRA 5.1.9]

Prayatna - EFFORT ; NODANA VISHESHA: - Change in momentum 

A particular prayatna ( FORCE X TIME ) Produces a Particular NODAN ( Change of momentum). !!!!! 

Prayatna means the effort of an individual.Total effort is force applied multiplied by the time.Kanada proposes that there is a fixed proportion between prayatna and nodana. 


NODANA VISHESHAATH UDAASANA VISHESHA: [VAISHESHIKA SUTRA 5.1.10]

nodana- Impulse (momentum) ; Udaasana- Rise 

A Particular momentum produces a particular rise of the projectile. 

This can be interpreted with the physics as we know today as ; 
if the body is at rest in the beginning, the momentum attained by it is equal to the nodana (or impulse) applied to it. For a body of given mass, a particular momentum produces a particular velocity. A particular initial velocity produces a particular maximum height attained by the projectile. It can be said thus that a particular impulse produces a particular height in a given projectile

So that explains the Second law of newton proposed by KANADA.Remember that we have already seen the third law in our Previous note and Newton's First law in the first note !! 

पुरातन भारतीय विज्ञानं - Newton's Third law

पुरातन भारतीय विज्ञानं 

Hope you have read my note two as well...Now before moving into physics that we usually do by vaisheshika sutra and its explanations, Let us start with the pythogorous theorem....er...i am sorry..i meant BODHAYANA's Theorem. 

Bodhayana's Sulbha suthra is a book containing geometry and its applications.It says, 



"Dheergha charutharskhanyaa rajju: paarshvamaanee thiryag maanee cha 
yath pruthag bhuthe kuru thasdath ubhayam karothi " 

It means that in  a right angled triangle, the sum of the sqaures of other two sides other than the longest side total to the longest side multiplied by itself. 

This calculation was given to frame the triangular frames in which pujas like fire worship were done.Thus is it BODHAYANA's theorem or....pythogorous theorem ??!! 

Now we shall move onto the discussion of ours on physics.Today i find in the sutras an asotnishing sutra that is the third law of newton that the whole world knows. [ vaisheshika sutra 1.1.14] we shall discuss this later in this note or in the next note. 

SADANITYAM DRAVYAVATH KARYAM KARANAM SAAMAANYA VISHESHA VIDHITHA DRAVYA GUNAAKARMAAGAMA VISHESHA:  [VAISHESHIKA SUTRA 1.1.8] (sutra 9 also talks of the same thing it is not discussed here as it is just an extension of this sutra) 

SAT- EXISTING ; DRAVYAVATH - Containing ;  AVISEHSHA: - RESEMBLANCE 

Any body’s mass needs to be wholly explained in terms of its constituent particles.


DRAVYANAAM DRAVYAM KAARYAM SAMAANYAM 

Dravyanaam dravyam - substance constituting substances 

Any substance comprising of two or more primary particle types requires a chemical reaction to generate it- the conjoining and break up of prexisting molecules.


DVITHVA PRABHRUTHAYA: SANKHYA: PRUTHAKTHVA SAMYOGA VIBHAGAASHCHA 

The “molecules” are stated as emerging from combinations between the fundamental entities 


KANADA further explains that Forces are necessary to bring about combination and break up of molecules and 
The combinations of particles to produce molecules result in substances with states very different from those of the original particles  in around six suthras in the beginning of fourth chapter. 


Thus he clearly differentiates between a chemical reaction and a physical reaction.

Now it is time to put down the third law of newton...the law actually proposed by maharishi kanada !! 

KARYA VIRODHI KARMA [ VAISHESHIKA SUTHRA 1.1.14] 

karya - Action Virodhi - opposite karma - Actiona (reaction in this case) 

EVERY ACTION HAS AN EQUIVALENT AND OPPOSITE REACTION !!!! 

Mouths wide open again ??? welll must be...then how wud u react if i said..the indians of those times knew how to design aeroplanes ?! YES !! they did know !! thre is this shastra by name VAIMANIKA SHASTRA by MAHARISHI BHARATHWAJA !! that explains the construction and working of AEROPLANES !!! we shall discuss this after discussing VAISHESHIKA SUTRAS.