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Sean Carroll QUOTES

94 " There are two possibilities: one where the universe is eternal, one where it had a beginning. That's because the Schrödinger equation of quantum mechanics turns out to have two very different kinds of solutions, corresponding to two different kinds of universes.

One possibility is that time is fundamental, and the universe changes as time passes. In that case, the Schrödinger equation is unequivocal: time is infinite. If the universe truly evolves, it always has been evolving and always will evolve. There is not starting and stopping. There may have been a moment that looks like our Big Bang, but it would have only been a temporary phase, and there would be more universe that was there even before the event.

The other possibility is that time is not truly fundamental, but rather emergent. Then, the universe can have a beginning. The Schrödinger equation has solutions describing universes that don't evolve at all: they just sit there, unchanging.

You might think that's simply a mathematical curiosity, irrelevant to our actual world. After all, it seems pretty obvious that time does exist, and that it's passing all around us. In a classical world, you'd be right. Time either passes or it doesn't; since time seems to pass in our world, the possibility of a timeless universe isn't very physically relevant.

Quantum mechanics is different. It describes the universe as a superposition of various classical possibilities. It's like we take different ways a classical world could be and stack them on top of each other to create a quantum world. Imagine that we take a very specific set of ways the world could be: configurations of an ordinary classical universe, but at different moments in time. The whole universe at 12:00, the whole universe at 12:01, the whole universe at 12:02, and so on – but at moments that are much closer together than a minute apart. Take those configurations and superimpose them to create a quantum universe.

That's a universe that is not evolving in time – the quantum state itself simply is, unchanging and forever. But in any one part of the state, it looks like one moment of time in a universe is evolving. Every element in the quantum superposition looks like a classical universe that came from somewhere, and is going somewhere else. If there were people in that universe, at every part of the superposition they would all think that time was passing, exactly as we actually do think. That's the sense in which time can be emergent in quantum mechanics. Quantum mechanics allows us to consider universes that are fundamentally timeless, but in which time emerges at a coarse-grained level of description.

And if that's true, then there's no problem at all with there being a first moment in time. The whole idea of 'time' is just an approximation anyway. "

Sean Carroll , The Big Picture: On the Origins of Life, Meaning, and the Universe Itself