Saturday, 24 January 2015

ADONGO'S LAW



TRANSFORMATION LAW 
My Transformation Law of relative speed Concludes that simultaneous events may appear to coincide in time for observer but not for another because of differences in their spatial positions. This led me to conclude the counterintuitive idea that time flows differently according to the state difference ϒ2V2-V2 which is (increasing or decreasing) times the speed of light square to absolute conclusion that the velocity in first initial frame is relative to the velocity in second initial frame and distance is also relative
One interesting consequence is the way in which the fields transform is the diminution of the repulsive force between charges moving with high velocity in parallel paths. If the velocity in the initial position is v and the velocity  increased by ϒv in the final position then, twice the speed of light is a direction to be added to v. The diagram is illustrated below.

---- v --->  -------ϒV - V =2c-----------> 
---------------- ϒv ----------------------->

The Transformation Law of Relative Speed is based on the assumption that in initial frame, the value √[( ϒ2V2-V2)/4] in vacuum is the same for all observers in inertial position and the required transformation is the reduction form of Galilean when low speed is involved. The value ϒ and V are the factor and relative speed respectively. The equation 1.0 is factor in initial frames.

ϒ=√[(Tr+V2) / V2]……..1.0

Where Tr is 3.6 X 1017 and is called relative transformation. The transformation Law has enormous influence in areas where speed of light served as ultimate.


TESTING THE FACT
EXAMPLE:
Test the fact that Adongo’s Transformation Law of Relativity is accurate, if a beam of poins travels speed at v=0.80c. [Assume c=3.0x108m/s] 

SOLUTION
In state difference ϒ2V2-V2 , the factor ϒ=√[(Tr+V2) / V2] is used and is;
ϒ=√[3.6x1017+(0.80c x 3.0 x 108)2]/(0.80 x 3.0x108)2=√7.25
ϒ2V2-V2 =Tr
7.25x(2.4x108)2-(2.4x108)2=4x(3.0x108)
3.6x1017m/s=3.6x1017m/s
The fact is accurate, since the left-hand side and right-hand side is equal.


APPLICATION
The consequence of the transformation Law of Relative speed is the existence of a Doppler shift when a source of light and observer relative to the medium as always done in the case of sound. The transformation Law of Doppler shift solely depends on the relative velocity V of source and observer in the time of shift. The extreme measurement shows that the observer frequency is given by

f=fo[√((Tr-V2)/V2)/√((Tr+V2)/V2)]…….3.0

Where, fo stand for proper frequency in the sources reference frame and I have quoted the value for the source and observer recording from each other when the source and observer approach each other the will be reversal sign of the velocity and is;

f=fo[√((Tr+V2)/V2)/√((Tr-V2)/V2)]…….4.0

Moreover, the application of my transformation Law of relative speed is numerous and can be explored in Kinematics, more particularly measurement of time and lengths. As an object approaches the speed of light an observer and its time interval become larger relative to the length and time interval when the object is at rest. Suppose an observer in initial frame records a time interval T between two events which occurred at the same coordinate (x’) in initial frame is;

To=
T√[(Tr+V2)/V2]…….5.0

Where To, called proper time and an observer on the moving body T are the corresponding quantities as measured by interval become larger, meaning that time runs more slowly in a moving body; that is time dilates. The may be measurement of shorter length for the clocks of two events. Likewise between two events which occurred at the same coordinate (x’) in the initial frame is;

Lo=L√[(Tr+V2)/V2]……6.0

Where, Lo called proper length. This is telling us that time T interval recorded in final frame is longer than the time interval T’ which is recorded in initial frame by a clock which is stationary relative to the place where the events occur.


Momentum is one of the fundamental Laws of mechanics and the first enquiry must be the effect of my Law on the conservation equations. Momentum is a vector quantity and so a full three-dimensional of my transformation scheme is required. Base on the transformation Law, it is found that momentum is conserved in a perfectly elastic collision (where KE is also conserved) only if the momentum is written;

P=MV

Where M=ϒMo

P=Mo√[(Tr+V2)/V2]....7.0

The symbol Mo stands for the Proper mass of the object. Thus, the mass (M) increase with speed because of the ϒ factor. Also experiments with fast electrons deflected by magnetic fields have shown that equation 7.0 do in fact account for the change in electron mass with great accuracy confirmation of special theory of relativity is the way in which proton accelerator of immense size can be designed to produce beam energies.
Not only is the momentum of a particle modified by the introduction of the ϒ factor, but the energy must also be change from the classical form and is written.

E=MV2/4(ϒ2-1) = ϒMoV2/4(ϒ2-1)…8.0

Where ϒ =[(Tr+V2)/V2]

And this quantity is conserved in both elastic and inelastic collisions. The energy includes both kinetic energy and the proper-mass energy of the particle, as can be seen by expanding the equation 8.0

E=MoV2/4(ϒ2-1) + 1/2M[(Tr/(ϒ2-1)]+…  ...9.0



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