General Quantum Gravity: ‘Metric Mechanics’ and Generalized Quantum Gravitational Field Theory

Quantum Mechanics is sufficiently capable of proving quantum gravity by itself without considering actual Einsteinian General Relativistic formalism. Due to the non-applicability of Einsteinian relativity in quantum gravity, in this article, we have described gravity as a correspondence between General (Quantum) Relativity and Quantum Field Theory (QFT) by introducing a (quantum) quadratic form and a (quantum) metric tensor along with dynamic time t. Here, we have developed a Kline-Gordon-like equation and a Dirac-like equation in QFT, which are themselves actually nothing but the quantum gravitational field equations (analogous to Einstein's field equation in General Relativity) for bosons and fermions, respectively. Furthermore, we have developed a Generalized Quantum Gravitational Field Theory, where QFT is conjugated with gravity and Dark Energy (for inconstant cosmological constant), so that it can unify Standard Model with gravity and Dark Energy in 'General Unified Theory' as SU(5)=SU(3)×(SU(2)⊕iSU(2)) through a Gravito-weak symmetry group. In addition, we have shown that unbounded operators, such as, i) the (quantum) relativistic mass and time, ii) the quantum scalar curvature and the proper time, iii) the (quantum) relativistic mass and its inversely stretched/shrank (3+1)D curvilinear quantum spacetime, all in pairs are satisfied their individual Uncertainty Principles, i.e., they cannot have definite and constant values at the same time. We have also proved that the present theory of Quantum Gravity is 'multiplicatively renormalizable'.