approach is: avoid the Wheeler-DeWitt equation, solve the classical constraints equations with a prescription for embedding the time, put the constraint equation in a form relating $p_t$ and $p_\phi$ (identifying $p_t$ and $p_\phi$ from Hamilton-Jacobi equation), quantize the constraint equation (we call it Schroedinger-Wheeler- DeWitt equation), adopt a boundary condition for the wavefunction with a view to decoherence, continue the wavefunction to the Euclidean regime and see whether the boundary conditions of classical spacetime (i.e., a large region) is any how related to the all quantum region (i.e., where both gravity and matter field are quantized). This approach allows to avoid many of the problems that have already been mentioned above. This is the main content of the present paper.

**[Model]{}**
=============

We start with an action $$\begin{aligned}
I & = & {\int {{d^4} x {\sqrt{-g}}\left[ {-R \over {16 \pi G}} - 
{1 \over {2 {\pi}^2}} ({1 \over 2} \phi_{,\, \mu} \phi^{,\,\mu} 
+ V(\phi) ) \right] } } \nonumber \\
& - & {1 \over {8 \pi G}}{\int_{\sum} d^3 x \sqrt{h} K}\end{aligned}$$ in a FRW universe $$ds^2 = - dt^2 + a^2 (t) \left[ {{{dr^2} \over {1 - k r^2}} + r^2 (d {\theta}^2
+{\sin}^2 \theta d {\phi}^2)} \right].$$ The 