The Big Picture

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The Big Picture Page 35

by Carroll, Sean M.


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  time is not absolute— it is dynamic, stretching and twisting in response to

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  matter and energy. Not long thereafter, we learned that the universe is ex-

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  panding, which led to the prediction of a Big Bang singularity in the past.

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  In classical general relativity, the Big Bang is the very first moment in the

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  history of the universe. It is the beginning of time.

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  Then in the 1920s we stumbled across quantum mechanics. The “state

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  of the universe” in quantum mechanics isn’t simply a particular configura-

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  tion of spacetime and matter. The quantum state is a superposition of many

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  different classical possibilities. This completely changes the rules of the

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  game. In classical general relativity, the Big Bang is the beginning of space-

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  time; in quantum general relativity— whatever that may be, since nobody

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  has a complete formulation of such a theory as yet— we don’t know whether

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  the universe has a beginning or not.

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  There are two possibilities: one where the universe is eternal, one where

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  it had a beginning. That’s because the Schrödinger equation of quantum

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  mechanics turns out to have two very different kinds of solutions, corre-

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  sponding to two different kinds of universes.

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  One possibility is that time is fundamental, and the universe changes as

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  time passes. In that case, the Schrödinger equation is unequivocal: time is

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  infinite. If the universe truly evolves, it always has been evolving and always

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  will evolve. There is no starting and stopping. There may have been a mo-

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  ment that looks like our Big Bang, but it would have only been a temporary

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  phase, and there would be more universe that was there even before the

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  event.

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  The other possibility is that time is not truly fundamental, but rather

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  emergent. Then, the universe can have a beginning. The Schrödinger equa-

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  tion has solutions describing universes that don’t evolve at all: they just sit

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  there, unchanging.

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  You might think that’s simply a mathematical curiosity, irrelevant to

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  our actual world. After all, it seems pretty obvious that time does exist,

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  and that it’s passing all around us. In a classical world, you’d be right.

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  Time either passes or it doesn’t; since time seems to pass in our world, the

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  possibility of a timeless universe isn’t very physically relevant.

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  Quantum mechanics is different. It describes the universe as a superpo-

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  sition of various classical possibilities. It’s like we take different ways a clas-

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  sical world could be and stack them on top of each other to create a quantum

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  world. Imagine that we take a very specific set of ways the world could be:

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  configurations of an ordinary classical universe, but at different moments

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  in time. The whole universe at 12:00, the whole universe at 12:01, the whole

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  universe at 12:02, and so on— but at moments that are much closer together

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  than a minute apart. Take those configurations and superimpose them to

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  create a quantum universe.

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  That’s a universe that is not evolving in time— the quantum state itself

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  simply is, unchanging and forever. But in any one part of the state, it looks 27

  like one moment of time in a universe that is evolving. Every element in the

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  quantum superposition looks like a classical universe that came from some-

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  where, and is going somewhere else. If there were people in that universe, at

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  every part of the superposition they would all think that time was passing,

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  exactly as we actually do think. That’s the sense in which time can be emer-

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  gent in quantum mechanics. Quantum mechanics allows us to consider

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  universes that are fundamentally timeless, but in which time emerges at a

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  coarse- grained level of description.

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  And if that’s true, then there’s no problem at all with there being a first

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  moment in time. The whole idea of “time” is just an approximation anyway.

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  I’m not making this up— this kind of scenario is exactly what was con-

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  templated by physicists Stephen Hawking and James Hartle back in the

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  early 1980s, when they helped pioneer the subject of “quantum cosmology.”

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  They showed how to construct a quantum state of the universe in which

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  time isn’t truly fundamental, and in which the Big Bang represents the be-

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  ginning of time as we know it. Hawking went on to write A Brief History

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  of Time, and become the most famous scientist of the modern age.

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  •

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  The idea of the universe having a beginning— whether time is fundamental

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  or emergent— suggests to some people that there must be something that

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  brought it into being, and typically that something is identified with God.

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  This intuition is codified in the cosmological argument for God’s existence,

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  an idea that traces its lineage back at least as far as Plato and Aristotle. In

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  recent years it has been championed by theologian William Lane Craig,

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  who puts it in the form of a syllogism:

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  1. Whatever begins to exist, has a cause.

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  2. The Universe begins to exist.

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  3. Therefore, the Universe had a cause.

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  As we’ve seen, the second premise of the argument may or may not be

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  correct; we simply don’t know, as our current scientific understanding isn’t

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  up to the task. The first premise is false. Talking about “causes” is not the

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  right vocabulary to use when thinking about how the universe works at a

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  deep level. We need to be asking ourselves not whether the universe had a

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  cause but whether having a first moment in time is compatible with the

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  la
ws of nature.

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  As we go through our lives, we don’t see random objects popping

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  into existence. It might be forgivable to think that, at least with a high de-

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  gree of credence, the universe itself shouldn’t simply pop into existence. But

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  there are two very substantial mistakes lurking beneath that innocent-

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  sounding idea.

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  The first mistake is that saying that the universe had a beginning is not

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  the same as saying it popped into existence. The latter formulation, which is

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  natural from an everyday point of view, leans heavily on a certain way of

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  thinking about time. For something to pop into existence implies that at

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  an earlier moment it was not there, and at a later moment it was. But when

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  we’re talking about the universe, that “earlier” moment simply does not

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  exist. There is not a moment in time where there is no universe, and another

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  moment in time where there is; all moments in time are necessarily associ-

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  ated with an existing universe. The question is whether there can be a first

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  such moment, an instant of time prior to which there were no other in-

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  stants. That’s a question our intuitions just aren’t up to addressing.

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  Said another way: even if the universe has a first moment of time, it’s

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  wrong to say that it “comes from nothing.” That formulation places into our

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  mind the idea that there was a state of being, called “nothing,” which then

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  transformed into the universe. That’s not right; there is no state of being

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  called “nothing,” and before time began, there is no such thing as “trans-

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  forming.” What there is, simply, is a moment of time before which there

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  were no other moments.

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  The second mistake is to assert that things don’t simply pop into exis-

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  tence, rather than asking why that doesn’t happen in the world we experi-

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  ence. What makes me think that, despite my best wishes, a bowl of ice

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  cream is not going to pop into existence right in front of me? The answer is

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  that it would violate the laws of physics. Those include conservation laws,

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  which say certain things remain constant over time, such as momentum

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  and energy and electric charge. I can be fairly confident that a bowl of ice

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  cream isn’t going to materialize in front of me because that would violate

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  the conservation of energy.

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  Along those lines, it seems reasonable to believe that the universe can’t

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  simply begin to exist, because it’s full of stuff, and that stuff has to come

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  from somewhere. Translating that into physics- speak, the universe has en-

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  ergy, and energy is conserved— it’s neither created nor destroyed.

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  Which brings us to the important realization that makes it completely

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  plausible that the universe could have had a beginning: as far as we can tell,

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  every conserved quantity characterizing the universe (energy, momentum,

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  charge) is exactly zero.

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  It’s not surprising that the electric charge of the universe is zero. Protons

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  have a positive charge, electrons have an equal but opposite negative charge,

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  and there seem to be equal numbers of them in the universe, adding up to

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  a total charge of zero. But claiming that the energy of the universe is zero is 2 00

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  something else entirely. There are clearly many things in the universe that

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  have positive energy. So to have zero energy overall, there would have to be

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  something with negative energy— what is that?

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  The answer is “gravity.” In general relativity, there is a formula for the

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  energy of the whole universe at once. And it turns out that a uniform

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  universe— one in which matter is spread evenly through space on very large

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  scales— has precisely zero energy. The energy of “stuff” like matter and ra-

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  diation is positive, but the energy associated with the gravitational field (the

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  curvature of spacetime) is negative, and exactly enough to cancel the posi-

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  tive energy in the stuff.

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  If the universe had a nonzero amount of some conserved quantity like

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  energy or charge, it couldn’t have an earliest moment in time— not without

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  violating the laws of physics. The first moment of such a universe would be

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  one in which energy or charge existed without any previous existence,

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  which is against the rules. But as far as we know, our universe isn’t like that.

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  There seems to be no obstacle in principle to a universe like ours simply

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  beginning to exist.

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  •

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  To the question of whether the universe could possibly exist all by itself,

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  without any external help, science offers an unequivocal answer: sure it

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  could. We don’t yet know the final laws of physics, but there’s nothing we

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  know about how such laws work that suggests the universe needs any help

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  to exist.

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  For questions like this, however, the scientific answer doesn’t always sat-

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  isfy everyone. “Okay,” they might say, “we understand that there can be a

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  physical theory that describes a self- contained universe, without any exter-

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  nal agent bringing it about or sustaining it. But that doesn’t explain why it

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  actually does exist. For that, we have to look outside science.”

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  Sometimes this angle of attack appeals to fundamental metaphysical

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  principles, which are purportedly more foundational even than the laws of

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  physics, and cannot be sensibly denied. In particular, the pre- Socratic Greek

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  philosopher Parmenides put forward the famous maxim ex nihilo, nihil

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  fit—“out of nothing, nothing comes.” Even Lucretius, the Roman poet who

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  was closer to modern naturalism than almost anyone else in the ancient

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  world, subscribed to a similar belief. According to this line of thought, it

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  doesn’t matter if physicists can cook up self- contained theories in which the

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  cosmos has a first moment of time; those theories must necessarily be in-

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  complete, since they violate this cherished principle.

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  This is perhaps the most egregious example of begging the question in

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  the history of the universe. We are asking whether the universe could come

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  into existence without anything causing it. The response is “No, because

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  nothing comes into existence without being caused.” How do we know

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  that? It can’t be because we have never seen it happen; the universe is differ-

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  ent from the various things inside the universe that we have actually expe-

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  rienced in our lives. And it can’t be because we can’t imagine it happening,

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  or because it’s impossible to construct sensible models in which it happens,

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  since both the imagining and the construction of models have manifestly

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  happened.

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  In the Stanford Encyclopedia of Philosophy, an online resource written

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  and edited by professional philosophers, the entry on “Nothingness” starts

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  by asking, “Why is there something rather than nothing?” and immediately

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  answering, “Well, why not?” That’s a good answer. There is no reason why

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  the universe couldn’t have had a first moment in time, nor is there any rea-

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  son it couldn’t have lasted forever, even without the benefit of any external

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  causal or sustaining influences. Our job, as always, is to ask how well com-

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  peting theories account for the information we accumulate as we observe

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  the actual universe.

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  •

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  Our job, in other words, is to move from the first question, “Can the uni-

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  verse simply exist?” (yes, it can) to the second, harder one: “What is the best

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  explanation for the existence of the universe?”

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  The answer is certainly “We don’t know.” Understanding that time may

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  be emergent, and that the laws of physics are perfectly compatible with the

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  universe having a first moment of time, might help explain how the uni-

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  verse came to be, but it says essentially nothing about why. It says nothing

 

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