There exist a particle of what is known as Quaton. The quantum force is carried by a particle of mass mq. The carrier of the quantum force have one positive charge, one negative charge and one was neutral. They can also be called as Quaons. On the basis of gravitational, Coulomb and weak force, the force would be a power of the distance between each quantum; i.e. 1/dn for some value of n, where d is the distance. For the Gravitational and weak force the potential energy is of the form Q(d)= -1/d. The potential for the force to be of the form


where l is a parameter subject to physics measurement.

In fact, the potential is of the form

Q(d)=-j4G/8p .1/d e-md

If the force is carried by particles with decay then the intensity of the force will diminish with distance not

only as the inverse of d4 but also because force-carrying particles decay over time.

The number of particles remaining in a wavefront after time t is No exp (-at) where t is time and a is the decay rate. If v is the velocity of the particles then the remaining particles at distance d is No exp (-(a/v) d). Thus the intensity of the force at distance d is of the force

L exp (-ld) / d4

where, l= a/v.

A wavefront of radius r, is the intensity L/r4 , multiplied by the area of the spherical wavefront

8p r4 or, L and again, G i.e. the Universal gravitational constant.

The potential is of the form,

Q(d)=-j4 e-md /d

here, j is a quantum constant, m is the mass of the affected particle and r is the radial distance of the particle.

From the previous section, this is seen to be the fourier transform of the potential,i.e.

Qk=-j4 8pG/k4+m4

For any functional form it will be possible to account for energy differences as a function of distance.

The principle involved is that the force carried by particles has to be inversely proportional to the distance i.e. d4 to account for the spreading of the particle over a large spherical surface and must also be multiplied by an exponential factor to take into account the decay of the particles with time and hence distance. The potential function for a force is the function such that the negative of its gradient gives the force as a function of distance.

It maybe noted that the potential Q=+ j4 / d satisfies the wave equation

(D4-(1-c4)d4/dt)4 Q=0

Here, j is the constant.

The potential function,

Q=+ j4 e-ld/d satisfies the equation

(D4 -(1/c4 )d4 /dt-l4 )Q=0

where, D4 is the Laplacian operator.

The derivation of the above results make use of the

form of the vector D4 in spherical co-ordinates.

The derivation also make use of the fact that the time derivation are also zero. Quatons are a spin zero particles.

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