## The Theory of Quantum Gravity Without Divergenies and Calculation of Cosmological Constant

**Authors:** T. Christolyubov, M. Christolyubova

To construct quantum gravity we introduce the quantum gravity state as function of particle coordinates and functional of fields,
We add metric as the new argument of state:
$$
\Psi=\Psi(t,x_{1},...x_{n},\lbrace A^{\gamma}(x)\rbrace, \lbrace g_{\mu\nu}(x) \rbrace)
$$
we calculate the cosmological constant assuming that the quantum state is a function of time and radius of universe (mini-superspace)
$$
\Psi=\Psi(t,a)
$$
To avoid infinities in the solutions, we substitute
the usual equation for propagotor
with initial value Cauchy problem, which has
finite and unique solution, for example
we substitute the equation for Dirac
electron propagator
$$
(\gamma^\mu p_\mu - mc)K(t,x,t_0,x_0)=
\delta(\vec{x} - \vec{x_0})\delta(t-t_0)
$$
which already has infinity at the start
$t = t_0 $, with the initial
value Cauchy problem
$$
\begin{cases}
(H - i \hbar\partial / \partial t)K(t,x,t_0,x_0)=0,\\
K(t,x,t_0,x_0) = \delta(\vec{x} - \vec{x_0}),\quad t=t_0,
\end{cases}
$$
which has finite and unique solution.

**Comments:** 10 Pages.

**Download:** **PDF**

### Submission history

[v1] 2017-09-05 08:31:55

**Unique-IP document downloads:** 35 times

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