use the reletionship of the four-dimensional vector change between the energy and momentum the leads to the changing principle of the applied force between the electric charges, Comment on the reactions between the electric charges in the parellel movement and the reations between the electric charges in the vertical movement.

Therefore, A, is confirmed to be a four-dimension vector, which provides a massive foundation of the covariance of these equations under Lorentz transformation.

From the angel of four dimensions vector and physics observation, this paper discusses the coordinate transform relationship between the relative movement inertia reference frames.

The relativistic relation of radiant heat was educed by transforming energy-momentum 4-vector of a single photon. The elicited results make sure P-E theory of relativistic thermodynamics once again.

A formulation of the four-dimensional vector laws of physics which emphasizes the transformation of position and time using the four-vectors (R', 0) and (0,ct') is presented.

It is shown that the geometrical origin of gauge transformations may be found if one considers the eight-dimensional spinor space rather than the four-dimensional vector space as the basis of a physical theory.

It is shown that the geometrical origin of gauge transformations may be found if one considers the eight-dimensional spinor space rather than the four-dimensional vector space as the basis of a physical theory.

Homogeneity for Surfaces in Four-Dimensional Vector Space Geometry

We construct a complete Riemannian metric on the four-dimensional vector space ?4 which carries a two-dimensional space of twistor spinor with common zero point.

In this paper, a covariant partial wave analysis of interactions of two particles with low spin value is discussod. Covariant angular momentum operators and relativistic invariant angular quantum numbers are introduced. Using the commutation relations of the covaxiant orbital angular momentum operators and the fou-rdimensional relative momentum operators, the representatives of the covariant orbital angular momenta in the four-dimersional relative momentum representation are uniquely determined, and their eigenfunctions...

In this paper, a covariant partial wave analysis of interactions of two particles with low spin value is discussod. Covariant angular momentum operators and relativistic invariant angular quantum numbers are introduced. Using the commutation relations of the covaxiant orbital angular momentum operators and the fou-rdimensional relative momentum operators, the representatives of the covariant orbital angular momenta in the four-dimersional relative momentum representation are uniquely determined, and their eigenfunctions are obtained. In the case of particlcles with 1/2 spin and photons, rising the Dirac's equations and the Maxwell's equations, spin operators are defined as the constitutions of the covariant total angular momentum operators. Covariant partial wave analyses for scattering of two particles with O, 1/2 spin, and photoproduction of pious on nucleons are obtained, invariant amplitudes are expressed in terms of relativistic invariant quantities. Usual angular quantum numbers and cosines of scattering angles in the center-of-mass system are replaced by the relativistic invariant angular quantun numbers and scalar products of initial and final four-dimensional relative momenta, respectively. Modulus of total four-momentun take roles as energies in the center-of-mass system in the old noncovariant partial wave analysis. Our results can remove the difficulty that the formalism of angular momontum is not suitable when seeka relativistic invariance in the study of a scattering process through the partial wave expansion.

For the mathematical description of the basic laws of the classical electromagnetics there existed some different systems and each of them has its own shortcomings. In this paper a new system is presented, which ε_0 and μ_0 in vacuum condition are the pure number 1; that c comes out more naturally than in Gauss system; that "rationalization" comes only from symmetry of space which is more naturally than in MKSA system; that t is alway.acoompanied by c, which will be found better than Gauss system in meeting...

For the mathematical description of the basic laws of the classical electromagnetics there existed some different systems and each of them has its own shortcomings. In this paper a new system is presented, which ε_0 and μ_0 in vacuum condition are the pure number 1; that c comes out more naturally than in Gauss system; that "rationalization" comes only from symmetry of space which is more naturally than in MKSA system; that t is alway.acoompanied by c, which will be found better than Gauss system in meeting the demands of modern physics during the transition to the four dimensional vector and tensor representation and that the corresponding symmetric relation between the quantities in electricity and in magnetism ran throngh more thoronghly han in Gauss system.

Similar to the magnetic field produced by a moving charge, the gravinetic field can be produced by a moving mass. For instance, a moving straight line mass velocity U parallel to itself and linear density λ, the gravinetic field can be obtained by means of transforma- tion of 4-vector, and the magnitude is b=-(G/c~2) (2ΓλU/r), where Γ=1/((1-(U/c)~2)~(1/2)) .But this article is to avoid the transformation of 4-vector and this article points out that the conception of gravinetic field and gravitational Poynting...

Similar to the magnetic field produced by a moving charge, the gravinetic field can be produced by a moving mass. For instance, a moving straight line mass velocity U parallel to itself and linear density λ, the gravinetic field can be obtained by means of transforma- tion of 4-vector, and the magnitude is b=-(G/c~2) (2ΓλU/r), where Γ=1/((1-(U/c)~2)~(1/2)) .But this article is to avoid the transformation of 4-vector and this article points out that the conception of gravinetic field and gravitational Poynting vector can be deduced by con- trasting the gravitational field with electrostatic and magnetic. Thus we also obtained the same result. Besides, we add an example which demonstrates the law of conservation of energy in the gravinetic field.