Hindu Concept of the Beginning and End of Universe
The video below compares the concept of beginning  and end of universe in Hinduism with that of modern cosmology. The video  is presented by Carl Edward Sagan  - an American astronomer and astrobiologist and a highly successful  popularizer of astronomy, astrophysics, and other natural sciences. 
Below is the transcript of the video. This is because the subject matter is very complex and you might need repeated listening. 
Hindu  religion is the only one of the world’s great faiths dedicated to the  idea that the cosmos itself undergoes an immense, indeed an infinite  number of deaths and rebirths. 
It  is the only religion in which the time scales correspond, no doubt, by  accident, to those of modern scientific cosmology. Its cycles run from  our ordinary day and night to a day and night of Brahma 8.64 billion  years long. Longer than the age of the earth or the sun and about half  of the time since the big bang. And there are much longer time scales  still.
There  is the deep and the appealing notion that the universe is but the dream  of the god who after a 100 Brahma years… dissolves himself into a  dreamless sleep… and the universe dissolves with him… until after  another Brahma century… he starts… recomposes himself and begins again  the dream… the great cosmic lotus dream.
Meanwhile… elsewhere… there are an infinite number of other universes… each with its own god… dreaming the cosmic dream…
These  great ideas are tempered by another perhaps still greater it is said  that men may not be the dreams of the gods but rather that the gods are  the dreams of men.
In India,  there are many gods and each god has many manifestations. These Chola  bronzes cast in the eleventh century include several different  incarnations of the god Shiva. Seen here at his wedding.
The  most elegant and sublime of these bronzes is a representation of the  creation of the Universe at the beginning of each cosmic cycle – a motif  known as the cosmic dance of Shiva. The god has four hands. In the  upper right hand is the drum whose sound is the sound of creation. And  in the upper left hand is a tongue of flame… a reminder that the  universe now newly created… will billion of years from now will be  utterly destroyed. Creation. Destruction. 
These  profound and lovely ideas are central to ancient Hindu beliefs as  exemplified in this Chola temple at …. They are kind of reminiscent of  modern astronomical ideas. Without doubt the universe has been expanding  since the big bang but it is by no means clear that it will continue to  expand for ever. If there is less than a certain amount of matter in  the universe, then the mutual gravitation of the receiving galaxies will  be insufficient to stop the expansion and the Universe will run away  forever. But if there is more matter than we can see…hidden away in  black holes… say or in hot but invisible gas between galaxies, then the  universe holds together, and partakes in every Indian succession of  cycles… expansion followed by contraction… cosmos upon cosmos…Universes  without end. If we live in such an oscillating universe, then the Big  Bang is not the creation of the cosmos but merely the end of the  previous cycle the destruction of the last incarnation of the cosmos. 
Neither  of these modern cosmologies may be altogether to our liking. In one  cosmology, the universe is created somehow from nothing 15 to 20 billion  years ago and expands forever. The galaxy is mutually receding until  the last one disappears over our cosmic horizon. Then the galactic  astronomers are out of business… the stars cool and die…matter itself  decays…and the Universe becomes a thin cold haze of elementary  particles. 
In  the other, the oscillating universe, the cosmos has no beginning and no  end… and we are in the midst of an infinite cycle of cosmic deaths and  rebirths. With no information trickling through the cusps of the  oscillation…nothing of the galaxies, stars, planets, life forms,  civilizations evolved in the previous incarnation of the universe  trickles through the cusp filters past the Big Bang to be known in our  universe. 
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