General Relativity without Curved Space- Time (₲ R)

The theory of general relativity is related to the concept of curvature of space-time induced by the presence of the massive objects. We will see through this paper that the general relativity can be linked with linear Algebra and Vector Analysis without the need for concept of space-time. This is important for the unification of general relativity with quantum mechanics, gravity with electromagnetic, and a better understanding of the universe, gravity, black holes. The most important is the separation between the space-time and the big bang theory, which prove the existence of space-time before that, which leads to the existence of the creator of the universe.


Introduction
In my research "Old Mechanics, Gravity, Electromagnetics and Relativity in One Theory: Part I", I published in "Journal of High Energy Physics, Gravitation and Cosmology (JHEPGC)", I put some principles for a new theory in mathematics "titled The Extended Fields Theory", where I derived some of the physics equations that can be applied to the electric and gravitational domains without distinguishing in this theory, which means that there is similarity between the Maxwell and Lorentz equations for the electromagnetic and gravitational fields, and to generalization this principle. I published two other research explained in the first that perihelion precession, deflection of light passing near to the sun, and the black holes, are cosmic phenomena which can be theoretically proved through classical method through symmetry principle between the electronic and gravitational fields, far away from the concept of space-time [1]. In the second, we obtained a precise ideal value of the universal gravitational constant [2]. The significance of this law lies in the fact that, it connects three different physical disciplines together, which are mechanics, electromagnetism and thermodynamics [3] without the concept of space-time.
Generally, in this new theory, we can prove that the cross product of two vectors in the 4,2 » is directly proportional to the famous Einstein's field equations in General relativity theory, where it is important for the unification of relativity with quantum mechanics, as well as also important for understanding of the universe, especially the metrics of general relativity (i.e. Reissner-Nordström metric), and the separation between the space-time structure and the big bang, because that prove there was a creator before the universe existed As a special case, we will briefly in this paper to link the New Theory with Maxwell stress tensor equation, and in the next research, we will link Einstein's tensor and quantum mechanics to our New Theory.
This research paper is part of several scientific research groups with different names to unite the science of physics to understand this scientific area; reader has to check the indicated references.

Electromagnetic Stress-Energy Tensor on A.E Filed
As shown in my last paper [4], we can rewrite the cross force cross F for the electromagnetic field, and Conversion the mix cross-product of two vectors to mix dot-product as where J : 4-electric current density cross f : 4-E M Lorentz force density Also we may rewrite the curlB for 0 1 µ ≠ as,  : : : The magnitude or length of the Maxwell stress vector T is defined as We can calculate the absolute value of the stress vector T by using the classical way as following,

The Value of Lorentz force Density by Matrix Form
Let us suppose the equation, T µγ is the matrix form of stress vector, or electromagnetic stress tensor, defined by We may conversion the mix cross-product of F ∈ » to mix dot-product as shown in the master form bellow where: M: orthogonal vector, for the electromagnetic field we have : : Or as the following ► Now in the example at hand, suppose that On the other hand, we can conversion the square of vector B to matrix form as,

Calculate the Stress Vector T
In our theory we assume that ( ) On the other hand, from master form and the results above, we have ( ) The eiginvalue λ can be easily defined by equation.    28577 35686  9687  35686 71245  8396 , ,  1, 2,3  9687 8396 3797

Calculate the Components of T µγ by General Relativity Way
► As shown in my last paper and example above, we have ( )    This proves that there is no contradiction between this paper and the