## 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:** 32 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary.
In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution.
Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*