According to the Big Bang model, the universe, originally in an extremely hot and dense state that expanded rapidly, has since cooled by expanding to the present diluted state, and continues to expand today. Based on the best available measurements as of 2010, the original state of the universe existed around 13.7 billion years ago, which is often referred to as the time when the Big Bang occurred.The theory is the most comprehensive and accurate explanation supported by scientific evidence and observations
Stephen Hawking in his latest book 'The Grand Design' praises the M-theory , and states that the universe can create itself out of nothing without the requirement of the GOD because of the physical laws. He also that ours is only one of the universes. according to M-theory there could have been 10 to power of 500 universes created after big bang, each having its own rules!! . According to M-theory , there are many parallel universes. It talks about 11 dimensions, and strings and membranes.
Bhagvad Gita predicts a similar cosmos creation but the God has a role to play here :)
In fact it is mentioned in Gita exactly when the laws of physics come into existence, therefore , it seems that it is theoretically impossible for physics to prove the existence of God. What it can do at most is hinted in the Grand Design.
Though it is spiritually possible to prove the existence of a God (or demi God as per Jainism, that's a different story. Jainism does not believe in a creator. If you study carefully , the Jain and Bhagvad Gita theories are like two different sides of a coin - one has to apply anekantavada ).
I list down some Bhagvad Gita shlokas (from Chapter 9) which mention about universe and its creation:
1.Chapter 9 Verse 7 , Krishna says [Sanskrit]
[English Translation] - In the beginning of time or KALPA , I create everything and at the end of time KALPA, the whole creation merge in me. By my will the whole universe is created & annihilated again and again
2. Chapter 9 Verse 10 , Krishna says [Sanskrit]
[English Translation] - Superintended by Me, the illusionary external energy manifest all living and non - living entities; for this reason O Arjuna, the universal manifestation is created repeatedly.
One of the most famous pictures is that of infinite universes (from M-theory it would be 10 to the power of 500) emanating from Lord Vishnu.
[Images used above have been taken from the internet and are used only for the sake of explaination. No copyright violation is intended. In case of any issues please leave a comment]