Quantum Gravity and String Theory


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.

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Submission history

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

Unique-IP document downloads: 41 times

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