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I forgot to tell you that Stephen Hawking believes in inflation theory. It is based off of string theory.The third Law of Thermodynamics says thermal equilibrium is impossible, but you knew that already.And you should know that matter and energy will eventually reach thermal equilibrium which should tell you that it is not possible for matter to exist forever without reaching thermal equilibrium. Which all mean that space and time was created 14 billion years ago.I know that the fact that energy can neither be created nor destroyed was proven with a repeatable experiment by James Prescott Joule, you might have a surge protector rated in Joules named after him in honor of his great accomplishment, and I know you have no repeatable experiment contradicting it.
But let's play it out your way. How long has matter and energy existed?
And since energy can neither be created nor destroyed it has always existed and will always exist in the same total quantity.
Would that be true if, as I have sometimes read, the physical laws our universe operates under did not exist prior to the Big Bang? (Assuming using the term "prior to" makes sense when time itself may not have existed)
You read wrong. The creation of space and time followed laws.
What do you think would have made the laws change?
Well, there is this from Stephen Hawking: "The beginning of real time, would have been a singularity, at which the laws of physics would have broken down." That seems to indicate that 'before' the Big Bang, at least some of the laws of physics did not apply. That only makes sense if space and time do not exist. The Beginning of TIme