BILL ADONGO

LIFE TIME:

BILL ADONGO (1983-present) is one of the greatest Ghanaian mathematicians, physicist, Economist and Actuary of all time. In Mathematics and Statistics, he is known by his Central Point Law, Point Values Interval Law, Least Whole normal Theory, Central Prediction Theory and Multi-combinational Theory.

In Actuarial Science, he is known by his Central Credibility, Central Rating, Minimum Uncertainty Method (or Theory), etc.  In Economics he is known by his Central Economics (or Infinitesimal Economics). In Physics he is known by his Central Physics (or Infinitesimal Physics) and Transformation Law of Relative Speed. In general he is known by his Least Whole Normal Theory, Central Point Law and Multi-combinational Theory.

Central Economics (or Infinitesimal Economics) is a branch of economics that applies the Central Point Law, and Point Values Interval Law. Below are topics of his Transformation Law of Relativity in his diary.

 

TRANSFORMATION LAW RELATIVITY 

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 ϒV²-V² which is four times the speed of light square in the final frame of the events and it reversal transformation from the final frame to the initial frame in similar form but change of the sign V is ϒV²+V² and is also four times the reverse of light square to absolute conclusion that distance is also based on the relative speed or motion.The Transformation Law of Relative Speed is based on the assumption that in initial frame, the value √[( ϒV²+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 and 2.0 are factor in initial and final to initial frame due to change in sign V respectively.

ϒ=(T_r+V²) / V²……..1.0

ϒ=(T_r-V²) / V²………2.0

Where T_r 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.

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=f_o[√((T_r-V²)/V²)/ √((T_r+V²)/V²)]…….3.0

Where, f_o 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=f_o[√((T_r+V²)/V²) / √((T_r-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;

T_o=TV²/[(T_r-V²)]…….5.0

Where T_o, 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;

L_o=L[(T_r-V²)/V²]……6.0

Where, L_o 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=ϒM_o

P=M_o(T_r-V²)/V²....7.0

The symbol M_o 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.

Note 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(ϒ+1) = ϒM_oV²/4(ϒ+1)…8.0

Where ϒ = (T_r-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=M_oV²/4(ϒ+1) + 1/2M[(T_r/(ϒ+1)]+…  ...9.0

 NOTE: When using the factor ϒ = (T_r+V²)/V² the energy release will be

E=MV²/4(ϒ-1) = ϒM_oV²/4(ϒ-1).

Aand situation where kinetic energy is included, we have;

E=M_oV²/4(ϒ-1) + 1/2M[(T_r/(ϒ-1)]+…..

LAST PUBLICATION FOR THIS YEAR:

 BY ADONGO, BILL.

HAPPY YEAR: I AM HAPPY! YOU ARE HAPPY!! THEY ARE Happy!!!