This hypothesis will present a possible extension of Einstein's field equations cite{1}cite{2}cite{3}cite{4} which reduces to his field equation by contractions. Basic concepts such as the description of the inertial system or the definition of a physical observer are discussed. The field equation predicts the existence of exactly four-dimensional space-time, as only four-dimensional space-time has an equal number of unknowns for each term of the equation. The equation itself can be written in two mixed and fully covariant forms:begin{gather}R_{mu sigma u}^ho-frac{1}{2}R_{sigmakappa}g^{kappa ho}g_{mu u}=kappa T_{mu kappa}g^{kappa ho} g_{sigma u}R_{phimu sigma u}-frac{1}{2}R_{sigmaphi} g_{mu u}=kappa T_{mu phi} g_{sigma u }end{gather}This model relates the field of matter to the curvature of space-time in a direct way, if matter is not present at a given point in space, it is simply flat space-time, which makes it a requirement that the momentum energy tensor does not zero in the presence of space-time curvature. In this work, I do not give the exact solutions of the equations, only their derivation and their form in a particular case. Field equation can be reduced to statement about equality between energy momentum tensor and Ricci tensor:begin{gather}R_{mu u} =-2 kappa T_{mu u }end{gather}I will also present a possible way to quantize field equations using complex space-time. This gives the quantum field equation which I can write asbegin{gather}left(R_{phimu sigma u}ight) ^dagger R_{phimu sigma u} = kappa left(R_{phimu sigma u}ight) ^dagger left(kappa T_{mu phi} g_{sigma u }+frac{1}{2}R_{sigmaphi} g_{mu u} ight) end{gather}This equation uses a special complex space-time and generates real invariants by using complex conjugates and transpositions. This removes it from singularity field theory as only normalizable fields that do not possess any kind of infinity are a consequence of this normalization.