ேவதாதிய கிராவ , கிராவ , அேவ ஆைம
Prof. Dr. Madhavan PhD., 0 98860 67232
[email protected]
ேவதாதிய கிராவ
Prof. Dr.. மாதவ
VAAZGHA VALAMUDAN
VETHATHIRI MAHARISHI
ேவதாதிய கிராவ
Prof. Dr.. மாதவ
«õFKò FKò¡ FKò¡ Aó£M ó£M†®, †®, ܶ«õ Ý™¬ñ†® ™¬ñ†® 1. ÜPºè‹ ºè‹ ë£ôˆFL¼‰¶ Íôˆ¬î «î´‹ M…ë£QèÀ‹, ÍôˆFL¼‰¶ ë£ôˆ¬î ªî£´‹ ªñŒ…ë£QèÀ‹ 塬øˆî£¡ Aó£M†® â¡Á‹ 膾œ â¡Á‹ ªê£™½Aø£˜èœ. Þ˜‡´«ñ à¼õñŸø¬õ, è£íº®ò£î¶; áA‚èô£‹, àíóô£‹, Ýù£™ ÞQ õ¼‹ è£ô‹  ܬî GÏH‚°‹.  å¼ M…ë£ù ܈î£K†®»‹ Þ™¬ô, ºŸÁ‹ àí˜‰î ºQõ¼‹ Þ™¬ô. â¡ ÜP¾‚° ð†ì¬î, «õFKJì‹ ªðŸø¬î, Üõ˜ õN õ‰î ÜPë˜èœ ªê£¡ù¬î ¬õˆ¶ àƒèOì‹ Cô 輈¶‚è¬÷ º¡ ¬õ‚A«ø¡. «ñô£ù àƒèœ C‰î¬ùè¬÷ õó«õŸA«ø¡. M…ë£ù‹ àôªèƒ°‹ å¡Á . Üî¡ è¼ˆ¶‚èœ ¹Fò 致 H®Š¹‚è÷£™ ñ£P‚ªè£‡«ìJ¼‚A¡øù. ¹Fò ñ£Ÿøƒèœ GÏH‚èŠð†´, 効‚ªè£œ÷Šð†´, ܶ å¼ è£ô è†ìˆF™ ãŸÁ‚ªè£œ÷Šð´Aø¶. M…ë£ù‹ ñQî õ£›MŸ‚° Üõ¡ õ£›‚¬è îó‹ àò˜ˆ¶õ° î‰î ªð£¼†èœ, õêFèœ ãó£÷‹. âù«õ ñ‚èœ Þ¡Á è¬ô ¸†ðˆ¬î Mì M…ë£ù ªî£N™ ¸†ðˆ¬î M¼‹¹õF™ MòŠ«ð¶I™¬ô. ªñŒ…ë£ù‹ î‰î èì¾œèœ ãó£÷‹. 裟Á å¡Á , ÅKò¡ å¡Á , c¼‹ å¡Á , Gôº‹ å¡Á , Ýù£™ è쾜 ñ†´‹ ã¡ ðôŠðô? è쾬÷ŠðŸP Ý󣌉î Cˆî˜èœ, ÜPë˜èœ, õ ë£Qèœ â™«ô£¼‹ è쾜 å¡Á â¡Aø£˜èœ. Hø° ޡ‹ ã¡ Þ‰î °öŠð‹? Þ¬î ªîOõ£‚è M…ë£ù‹  õN; ãªù¡ø£™ M…ë£ùˆ¬î àôè‹ åŠ¹‚ªè£œAø«î. ܉î õNJ™ «õFK ñèKS Üõ˜èœ GÎ†ì¡ î‰î Aó£M†®¬ò ¹ó†®Š«ð£†´ à‡¬ñ Aó£M†® â¡ù â¡ð¬î»‹, ܶ«õ  è쾜 â¡ø 輈¬î»‹ M…ë£ù ܵ° º¬ø«ò£´ àôA™ àœ÷ ܬùˆ¶ ÜPë˜èœ º¡ ¬õ‚Aø£˜. 2. Hóð…ê 弃A 弃A¬íŠ¹ ÝŸø™ Ÿø™ - Aó£M ó£M†® M…ë£ù 致H®Š¹èœ å¡Á 輈¶ ÜÂñ£ùƒè÷£è«õ£ (ÜÞå‹) Ü™ô¶ ðK«ê£î¬ùÃìˆF™ (ãªðKªñ‰†) GÏH‚èŠð†ìî£è«õ£ Þ¼‚°‹. ªèŠô˜ î‰î ðK«ê£î¬ùè¬÷ ¬õˆ¶ GΆìQ¡ Aó£M†® ÜÂñ£ùƒèœ ܬñ‰î¶. ܶ Hóð…ꈬî è£è ªî£†ì¶. ܶ ªð£¼œ, ê‚F, ªõO, è£ô‹. Þ¬î«ò «õFK è£ô‹, ð¼ñ¡, Éó‹, «õè‹ â¡ø A«ô  M…ë£ù‹ Üì‚è‹ â¡Á ÃPù£˜. H¡ õ‰î ä¡v¬ì¡ ܉î ¬è Þó‡ì£‚Aù£˜. ªð£¼À‹ ê‚F»‹ «õÁ Ü™ô å¡Á ; ܶ «ð£ô ªõO»‹ è£ôº‹ «õÁ Ü™ô å¡Á ; «õFK Üõ˜èœ «ñ½‹ å¼ ð® è쉶, â™ô£«ñ å¡Á , ܶ  Aó£M†®, è쾜 â¡Aø£˜.
ேவதாதிய கிராவ
Prof. Dr.. மாதவ
Þ «õFK Üõ˜èœ Þó‡´ «è£†ð£´è¬÷ ï‹ º¡ ¬õ‚Aø£˜ 1. ²ˆî ªõO:- Hóð…ꈶ‚° àœ«÷»‹ ªõO«ò»‹ Þ¼Šð£è Þ¼Šð¶. ♬ôòŸø î¡QÁ‚è Å›‰î¿ˆ¶‹ ÝŸø¬ô»‹, Üî¡ Þò‚è ÜP¬õ»‹ àœ÷ì‚Aò¶. è£ô‹ â¡ø áìèˆF¡ õN«ò ñ£Ÿøƒè¬÷ î¼õ¶. ²ˆî ªõO ÞÁ‚°õ¶. (𼊪𣼆è¬÷ ñ¬ø ªð£¼†è÷£è ñ£ŸÁõ¶) 2. ²ˆ¶‹ ªõO:- ²ˆî ªõO ùˆî£«ù ÞÁ‚A»‹ Ü¿ˆF»‹ C¡ù C¡ù «ï˜ âF˜ M¬êò£A, Iè ¸‡Eò ²ö™ è÷ƒè¬÷ à¼õ£‚A¡ø¶. Þ¶«õ Hóð…êˆF¡ ºî™ ªð£¼œ. «è£®‚èí‚è£ù Þ‰î ¸‡Eò ²ö™ è÷ƒèœ, ¶èœèœ â¡Á ܬö‚芊†ì¶. ¶èœèO¡ «õè «õÁ𣆮Ÿ‚«èŸð ܬõèœ Þ¬íò¾‹ HKò¾‹ Ýó‹Hˆîù. Þ¬í‰î¬õ Íôèƒèœ ÝJù. HK‰î¬õ 裉î ܬôè÷£Jù. ÞÁ‚è‹ î£÷£î ²ˆî ªõO ùˆî£«ù ²ˆ¶‹ ªõOò£ù¶. ²ˆ¶‹ ªõO Mô‚°õ¶. (ñ¬ø ªð£¼†è¬÷ 𼊪𣼆è÷£è ñ£ŸÁõ¶) Hóð…ê‹ â¡Â‹ ªð£¼œ = ( ²ˆî ªõO + ²ˆ¶‹ ªõO ) = ( ÞÁ‚°‹ ÝŸø™ + Mô‚°‹ ÝŸø™ ) Þ¼ âF˜ñ¬ø ÝŸø™èO¡ ªî£°Š«ð ªð£¼œ.
Þî¡ M…ë£ù M÷‚èƒè¬÷ ÞŠªð£¿¶ èõQŠ«ð£‹. ñ£v = ªð£¼œ; Aó£M†® = ߘŠ¹ M¬ê. G»†ìQ¡ Aó£M†® 𣘺ô£ W«ö îóŠð†´œ÷¶. The law of gravitation:
F = GMm/r2 ………………………………..Eq. ( 1 )
F = Aó£M†® ߘŠ¹ M¬ê. G = Aó£M†«ìûù™ 裡v졆 M = ªðKò ªð££¼O¡ ñ£v m = C¡ù ªð££¼O¡ ñ£v r = ªð£¼†èO¡ Þ¬ì ªõO ªð£¼†èO¡ Þ¬ì ªõO ÜFèñ£ù£™, ߘŠ¹ M¬ê °¬øAø¶. Þ¬ì ªõO °¬ø‰î£™ ߘŠ¹ M¬ê ÜFèñ£Aø¶. ÞFL¼‰¶ ߘŠ¹ M¬ê‚°, ªõOJ¡ º‚Aòˆ¶õˆ¬î  ¹K‰¶ ªè£œ÷ «õ‡´‹. ªð£¼†èO™ Þ¬ì ªõO ñ†´ñ£ Þ¼‚A¡ø¶? Üî¡ ¹ø ªõO â¡ù Ýù¶? ܶ ªêŒ»‹ «õ¬ô â¡ù? Ü°‹ ªð£¼À‚°‹ ãî£õ¶ ê‹ð‰î‹ à‡ì£? C‰F»ƒèœ. Þ¡ªù£¡Á, Þ¼ ªð£¼†èœ Þ™¬ô«ò™, ߘŠ¹ M¬ê«ò Þ™¬ô. ªð£¼œ å¡Á â¡ø£™, ܃° Þ¬ì ªõO â¡ø «ð„²‚«è ÞìI™¬ô. ߘŠ¹ M¬ê»I™¬ô, Þ¬ì ªõO»I™¬ô â¡ø£™ ܃° â¡ù Þ¼‚°‹? å¡Á«ñ Þ¼‚è£î£, Þ™¬ô ªð£¼«÷ Þ¼‚è£î£? ÜŠð® ãî£õ¶ Þ¼‰î£™ ܶ â¡ù? ªð£¼÷£? M¬êò£?
ேவதாதிய கிராவ
Prof. Dr.. மாதவ
M¬êJ¡ ªõOŠð£´ ªð£¼÷£? ªð£¼O¡ ªõOŠð£´ M¬êò£? ⶠG¬ôò£ù¶, ⶠñ£P‚ªè£‡«ìJ¼Šð¶? Fì, Fóõ, õ£» ñŸÁ‹ H÷£vñ£ â¡Á ªð£¼œ ñ£P‚ªè£‡«ìJ¼‚Aø¶. M¬ê Þ¼‰¶ªè£‡«ìJ¼Šð¶. ªð£¼O¡ ñ£ŸøˆFŸ‚° M¬ê «î¬õ. M¬ê  è£óí‹, ªð£¼œ  è£Kò‹.  ÅKò¬ù â´ˆ¶‚ªè£œ«õ£‹. ܶ å¼ «è£÷‹. ܬŸP î¡QÁ‚è Å›‰î¿ˆ¶‹ ÝŸø™ Cs per unit area, Ü¿ˆF‚ªè£‡®¼‚Aø¶. ÅKò¡ ²ö™õ, ܶ Rs per unit area Mô‚A îœO‚ ªè£‡®¼‚Aø¶. ÅKòQ¡ ܬó M†ì‹ R â¡ø£™ Üî¡ ðóŠð÷¾ 4 π R2 Ýîô£™ ªñ£ˆî ÞÁ‚°‹ ÝŸø™ = 4 p R2 Cs . ܶ «ð£ô ªñ£ˆî Mô‚°‹ ÝŸø™ = 4 p R2 Rs. Ýè Gèó ÞÁ‚°‹ ÝŸø™ =
4 p R2 ( Cs - Rs )
ÅKòQ¡ ñ£v â¡ð¶ Üî¡ Gèó ÞÁ‚°‹ ÝŸø¬ô åˆî¶. Mass of the sun ∞ 4 p R2 ( Cs - Rs )
ݬèò£™ ÅKòQ¡ ñ£v = β 4 p R2 ( Cs - Rs ) Mass of the sun M = β 4 p R2 ( Cs - Rs ) or …………………………………… Eq. ( 2 ) ( Cs - Rs ) = M / β 4 p R2 ………………………….………………………..… Eq. ( 3 ) where β = Universal Constant This is the first equation for Mass in Physics, which will serve as a basis for deriving the Vethathirian law of Gravity.
Þ¶«õ ªð£¼œ - ñ£v â¡ðî¡ ºî™ ß°«õû¡. ÞŠªð£¿¶  «õFKò¡ Aó£M†® ß°«õû‚° ªê™«õ£‹. å¼ Iè„CPò «ê£î¬ùˆ¶èœ (p) å¼ »Q† ãKò£, (r) â¡ø ÉóˆF™ ('v').â¡ø «õèˆF™ ÅKò¬ù õô‹ õ‰¶ ªè£‡®¼‚Aø¶ â¡Á ¬õˆ¶‚ªè£œ«õ£‹. The Compressive force on this 'p' = (4 p R2 Cs) / (4 p r2 )
(Üî¡ ÞÁ‚°‹ ÝŸø™) The Repulsive force on this 'p'
= (4 p R2 Rs) / (4 p r2 )
(Üî¡ Mô‚°‹ ÝŸø™) The net gripping force on this 'p' = R2 (Cs - Rs) / r2 .................................................Eq. ( 4 )
(Üî¡ Gèó ÞÁ‚°‹ ÝŸø™)
ேவதாதிய கிராவ
Prof. Dr.. மாதவ
Compressive Pressure at a Distance ‘r’ on a unit mass of unit area
r S
(4πR2Cs) / (4πr2)
Repulsive Pressure at a Distance ‘r’ on a unit mass of unit area
r S
(4πR2Rs) / (4πr2)
r Repulsive pressure equals K * r
ேவதாதிய கிராவ
S
Prof. Dr.. மாதவ
Þ¬îŠ «ð£¡Á ðô «è£®‚èí‚裡 ¶èœèO¡ ÞÁ‚°‹ ÝŸø¬ô âF˜ˆ¶ ˆœÀ‹ ÝŸø¬ô K.r â¡Á â´ˆ¶‚ªè£‡ì£™ ( K â¡ð¶ êó£êK Mô‚°‹ ÝŸø™ å¼ c÷ Ü÷¾‚°, ñŸÁ‹ r â¡ð¶ ܉î c÷‹ ) ß°«õû¡ (4) ƒAL¼‰¶, õ¼‹ Gèó ÞÁ‚°‹ ÝŸø™ Combining equations (4) and K.r above, the magnitude of the net radial force (F) on the particle 'p' towards the sun is given by, F = (Cs - Rs) R2 / r2 - K.r ………………………………………… Eq. ( 5 )
ß°«õû¡ (3) Í¡PL¼‰¶ ( Cs - Cr )
â¡ð¬î ß°«õû¡ (5) 䉶‚° ñ£ŸPù£™,
Substituting ( Cs - Cr ) from equation ( 3 ) to equation ( 5 ), we get, F = ( 1 / 4 p β ) . M / r2 - K.r
…………………………………….Eq. ( 6 )
This is a new law of gravity. We call it the Vethathirian Law of Gravitation.
Þ¶  ¹Fò Aó£M ó£M†® MF. Þ¶ Þ¶  «õFKJ FKJ¡ FKJ¡ Aó£M ó£M†® MF. ÞŠªð£¿¶ GΆìQ¡ Aó£M†® ß°«õû¡ (1) 塬ø»‹ «ñ«ô»œ÷ «õFKJ¡ Aó£M†® (6) ݬø»‹ åŠH†´ 𣘂°‹ «ð£¶, Aó£M†«ìûù™ 裡v졆 G â¡ð¶ G= (1/4pβ)
ÜŠð®ò£ù£™ F â¡ð¶ F = GM/ r2 - Kr
( 'm'
â¡ø C¡ù ªð£¼œ ñ£v, å¡Á â¡Á ªè£‡ì£™ )
Now, when we compare the Newton's law of gravity in Eq. ( 1 ) with that of Vethathirian law of Gravitation in Eq. ( 6 ), the first term on the right hand side of Newton's law of Gravity, the Gravitational constant becomes as G= (1/4pβ)
Then,
F = GM/ r2 - Kr ( small 'm' being unit mass is considered as 1 )
ேவதாதிய கிராவ
Prof. Dr.. மாதவ
Þ‰î Kr â¡ð¶,  õ£¿‹ àôèA™ Iè Iè„ CPò¶ â¡Á â´ˆ¶‚ªè£‡ì£™, «õFKJ¡ Aó£M†®JL¼‰¶, GΆìQ¡ Aó£M†®‚° õ¼õ¶ âO¶. «õFKJ¡ Aó£M†® MFJL¼‰¶ õ¼‹ W› è‡ì ‚¼ˆ¶‚èœ, ï‹ C‰î¬ù‚° M¼‰¶. 1. ß°«õû¡ (2) Þó‡®L¼‰¶ õ‰î «õFKJ¡ Aó£M†® ß°«õû¡ (6), ªð£¼œñ£v â¡ð° ¹Fò ªð£¼ˆîñ£ù Þô‚èíˆF¡ M÷‚è‹ îóô£‹. 2. GΆìQ¡ MFèœ, «õFK î‰î Þ¼ ªõO «è£†ð£´èO¡ ªî£ì˜„C âùô£‹. 3. Aó£M†®¬ò ªð£¼À‚° åŠH´õF™ àœ÷ ðô Hó„C¬ùè¬÷, «õFKJ¡ ÜÂñ£ùƒèœ ²ôðñ£‚A Mìô£‹. 4. «õFKJ¡ ÜÂñ£ùƒèœ, Þ¡¬øò 致H®Š¹ MFèÀ‚° ªð£¼ˆîñ£ù¬õ âùô£‹. 5. 'K', â¡ø ðî‹ Mô‚°‹ ÝŸø¬ô , ܶ ä¡v¬ì¡ MFèÀ‚° Ü®Šð¬ìò£èô£‹. 3. G¬ø¾¬ó. ¬ø¾¬ó. ÞòŸ¬è, ªõ†ì ªõO, Þ¬øõ¡, è쾜, Hó‹ñ‹, Aó£M†®, Ý™¬ñ†®, 弃A¬í‰î ÝŸø™ â™ô£«ñ 塬øˆî£¡ °PŠH´Aø¶. Aó£M†® â¡ð¶ å¡Á - ܶ Éò, â™ô£‹ õ™ô, ⃰‹ G¬ø‰î, á´Á¾‹, ñŸÁ‹ á´¼M‚ªè£œÀ‹, â™ô£‹ ÜP‰î, ˆ¡ùF˜¾ ªè£‡ì, Hóð…ê ñ£Ÿøƒè¬÷ ªè£‡«ìJ¼‚°‹ å¡Á. Aó£M†®, M‡ ªõOJ½œ÷ â™ô£ ï†êˆFóƒèÀ‚°‹, «è£œèÀ‚°‹ å¼ ‰™Lí‚般î î¼Aø¶ â¡ø£™, Ü¬î ¹K‰¶ ªè£‡ì ñQî ÞùˆFŸ‚°, ܉î ÜP¾, ã¡ ï™Lí‚般î îó º®ò£¶? C‰F»ƒèœ. õ£›¬õ õ÷ñ£‚A õ£›«õ£‹, õ£ö ¬õŠ«ð£‹. ந றி: ந றி: அ தைதய அறிஞ தவ: Dr. அழக இராம"ஜ$ அவக% அ தைதய வா& மக% - அ% நிதி: உமா அவக%
ேவதாதிய கிராவ
Prof. Dr.. மாதவ