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We just had a look at a thesis that time’s arrow originated in a quantum source (but the thesis didn’t account for the Big Bang).
Here’s another description of the problem of space and time—liquid spacetime: What if spacetime were a kind of fluid?:
This is the question tackled by theoretical physicists working on quantum gravity by creating models attempting to reconcile gravity and quantum mechanics. Some of these models predict that spacetime at the Planck scale is no longer continuous – as held by classical physics – but discrete in nature. Just like the solids or fluids we come into contact with every day, which can be seen as made up of atoms and molecules when observed at sufficient resolution. A structure of this kind generally implies, at very high energies, violations of Einstein’s special relativity (a integral part of general relativity).
So if we can’t dump the Big Bang, we could maybe dump Einstein?
What does that old guy reading think? Get a quote from him, will ya?

Be happy for this moment. This moment is your life.
Okay then, re time: Make the most of it. They sure ain’t makin’ no more of it than sixty seconds a minute.
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See also: In search of a road to reality