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Quantum Fluctuation… M.S. Mousavi Karimi (191

                  Those  models  indeed               to  explain  the  situation  of
               explain the transformation of          the  universe  before  the

               something  into  something,            Plank time. They proposed a
               and  not  creation  out  of            timeless  universe  that  has
               nothing.                               only three-dimensional space.

                                                      To  remove  the  boundary
                   2.  Wave-Function Models           conditions,  time  combines
               The  second  version  of               with      the      topological
               quantum       cosmology       is       structure        of      three-

               furnished  by  the  so-called          dimensional       space     and
               wave-function  models.  The            transmogrifies  to  something

               most  important  model  of             like  a  dimension  of  space.
               this group is the Hawking-             Space-time  is  “rounded
               Hartle model.
                                                      off”  prior  to  the  Planck

               A. The Hawking-Hartle Model            time  so  that  although  the
               This  model        has     been        past  is  finite,  there  is  no
               formulated  to  achieve  two           edge or beginning point.

               main  goals:  Firstly,  the               By transforming Lorentzian
               model  seeks  to  omit  the            space-time  into  Euclidian
               singularity,     and     as    a       space-time       it   becomes

               consequence,  the  starting            possible       to      exclude
               point  of  the  universe;              singularities      from      the
               secondly,  to  illustrate  how         resulting  Euclidian  region.
               the  universe  was  created            Such  a  change  will  not  be

               out of nothing.                        feasible unless by means of
                  In  a  joint  article,  Hartle      a  complex  transformation

               and  Hawking  (1983)  tried            of  the  time  coordinate  in
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