THE TRUE VALUE OF GRAVITATION CONSTANT G
This constant exists in the law of gravitation as described by Newton and in the general theory of relativity. (I'll use Newton's equation for greater convenience)
As we all know Newton's law is: F = G* m1*m2/r^2 (1) where :
m1,m2 are the 2 masses
R is the distance between the two masses
F is the force exercised between the masses
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G is a constant.
Its value has been estimated to be 6.6726 *10^-11 m2 /(kg*sec2).
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To explain the reason why this value is not true, ι have to explain the role of variable r^2 ,which is on the right of the equation. r^2 (surface unit) means that as the distance between masses increases, the force decreases with its square, simply because the gravity waves (or the gravitons if you prefer their material substance) spread over the greater surface of the sphere they cover. The surface of the sphere is given in the formula E = 4* pi* r^2, it is therefore proportionate to r^2. (pi=Greek letter =3.141592……)
So here is the crucial point. Factor 4*pi, disappears in formula (1) which is included in the value of G.
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Is this correct? When calculating nothing changes, and the calculations get simplified.
However, can we add in G, which is a characteristic of mass, the factor 4*pi which is a characteristic of space geometry?
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I believe not, for three reasons:
1. Once again the importance of number pi in universal laws is indicated
2. Because in the formulas and their formation we have to be as accurate as possible
(e.g. we say that the circumference of a circle is 2* pi*r and not 6.28r)
3. For theoretical physics, constant G and the value it has needs explanation and is directly associated with the deeper characteristics of matter (e.g. Hings particles or super chords) which are being investigated. It is not right to have in mind the wrong value.
For example: Theoretical physics calculate time and length plank as
Tplank=(G*h/c^5)1/2
=1,3546 * 10^-43 sec,
Splank=(G*h*c^3)1/2
=4,0610 * 10 ^-35 m
c=299792458 m/sec
h=constant plank=6,662*10^-34 joule/sec
With G’ where
G’=G*4*pi=8.38503 *10^-10 m3/(kgr*sec2):
T new plank=(G’*h/c^5)1/2
=4,8029 * 10^-43 sec,
S new plank=(G’*h*c^3)1/2
=1,4399 * 10 ^-34 m
In electricity and in magnetism, factor 4*pi is appeared out of the constants,except the coulomb law.
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In conclusion I believe that gravitation law should be taught as:
F= G' m1* m2/(4*pi*r^2) where: ENAPLUSZHTA
G' = G*4*pi =8.38503 *10^-10 m3/ (kgr*sec2).
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Validakis Constantinos
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