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According to the Dirac quantization approach, the quantum states of the universe should be annihilated by the operator version of the Hamiltonian, that is Finally we get the following Schrodinger equation where YW = W(a) is the wave function of the universe. We now use the standard representation 1 — —i0,. Then we obtain the Wheeler - DeWitt equation ((WDWE) [18]-[19]

Table 6 According to the Dirac quantization approach, the quantum states of the universe should be annihilated by the operator version of the Hamiltonian, that is Finally we get the following Schrodinger equation where YW = W(a) is the wave function of the universe. We now use the standard representation 1 — —i0,. Then we obtain the Wheeler - DeWitt equation ((WDWE) [18]-[19]

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where R stands for the Ricci scalar (curvature scalar), T is the torsion scalar, Q is the nonmetricity scalar and 7 is trace of the energy-momentum tensor of matter Lagrangian L,,. These fourth scalars are given by are Reva is the Riemann curvature tensor and 7, is the energy-momentum tensor, respectively. Note that in the action (3.1), we have three independent variables: the metric, the affine connec- tion and the matter fields contained in S,,. In this case, the energy-momentum tensor and the hypermomentum tensor are given by
where R stands for the Ricci scalar (curvature scalar), T is the torsion scalar, Q is the nonmetricity scalar and 7 is trace of the energy-momentum tensor of matter Lagrangian L,,. These fourth scalars are given by are Reva is the Riemann curvature tensor and 7, is the energy-momentum tensor, respectively. Note that in the action (3.1), we have three independent variables: the metric, the affine connec- tion and the matter fields contained in S,,. In this case, the energy-momentum tensor and the hypermomentum tensor are given by
where a(t) stands for the scale factor. If we write down Lagrangian of F(R, T,Q,7) for this metric and if we assumed that the Universe is filled with matter fields with effective pressure p and energy density p, we obtain 7, = 3p —p. Therefore the trace of the field equation (3.24)-(3.25) of the MG-VIII becomes as in (3.26). In the FRW spacetime, the action of the MG-VIII reads as For a simplicity, we consider the flat FLRW metric in the following form FRW cosmological equations
where a(t) stands for the scale factor. If we write down Lagrangian of F(R, T,Q,7) for this metric and if we assumed that the Universe is filled with matter fields with effective pressure p and energy density p, we obtain 7, = 3p —p. Therefore the trace of the field equation (3.24)-(3.25) of the MG-VIII becomes as in (3.26). In the FRW spacetime, the action of the MG-VIII reads as For a simplicity, we consider the flat FLRW metric in the following form FRW cosmological equations
To understand the physical and mathematical nature of the Myrzakulov F(R,T,Q,7) gravity (that is the MG-VIII), in this section, we consider the following particular model As result, we obtain the following five equations
To understand the physical and mathematical nature of the Myrzakulov F(R,T,Q,7) gravity (that is the MG-VIII), in this section, we consider the following particular model As result, we obtain the following five equations
Let us find the following derivatives:
Let us find the following derivatives:
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Mathematical PhysicsPhysicsGravitationQuantum Gravity
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