Comments by "Lepi Doptera" (@lepidoptera9337) on "Physicist Despairs over Vacuum Energy" video.
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The problem with quantum fluctuations as the source of the cosmological constant is a misunderstanding of quantum fluctuations. They don't exist in the way they are being portrayed in the press. You can look up into the night sky and you can see objects that are millions of light years away (the Andromeda galaxy) with your own eyes and over 40 billion light years with instruments (the CMB). That light was not disturbed by quantum fluctuations, at all. If the universe was "grainy" or "foggy" the way the usual mental model suggests, then this light would have never made it undisturbed and we would probably not even be able to see as far as our own toes. In quantum field theory higher order terms cause changes in energy levels of bound states because these bound states select a distance (size) scale themselves, hence the integrals over contributions at higher energy are cut-off at that scale and they don't average out to zero. These, however, are not simple random terms and they all go to zero at the scale of the universe. At most you can get something like a 1/R_cosmological dependence, which would be important during inflation but can either be neglected today or would, at most, lead to an asymptotically free universe. If an actual cosmological constant exists, then it is not caused by effects that are consequences of the background geometry. It exists as part of the layer of physics that causes the background geometry, to begin with.
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@eljcd The initial calculation by Feynman? It is not naive. It's actually quite congenial and it works, with some difficulties. What is certain is that we haven't found anything better for over 70 years, which tells us that it's not all bad. Is it the best possible model for how quantum fields work? Certainly not. I am highly skeptical that the real/virtual particle picture is the best way to describe quantum fields myself.
That, however, has absolutely nothing to do with the multiverse question. QFT tells us how to calculate with quantum fields and which kinds of quantum fields can exist, at all, but it does not tell us which kinds of quantum fields should actually exist. I am not aware that there were a whole lot of complaints about that in the past. If we were to put the same "prediction" criteria for the universe on plain QFT that we are putting on string theory, then we would have to conclude that it predicts an infinite number of possible universes. Instead we accept that it can't predict any. It can only describe the one we see.
What happened with the introduction of string theory is that people had overblown hopes that it would reduce the number of possible quantum field theories to one. It didn't do that. It seemingly reduced it to a very, very large number. Unfortunately, so far nobody seems to have found the actual solution to the universe inside string theory, either. It may be in there, it may not be.
And with that a serious philosophical mistake crept into the discussion: since string theory (which effectively has done nothing for physics proper so far) predicts a very large number of possible low energy universes, then maybe there have to be a large number of low energy universes. That is total nonsense, of course. The situation on the ground has simply not changed: we can describe the low energy universe very well, but we still can't predict it. We are still roughly where we were in the 1970s, when the SM was more or less finalized structurally. That is not a very long stretch of stagnation in physics. It was much worse in the 19th century when we had a more or less spotless (if inaccurate) theory of motion of matter without having any theory of matter, at all.
So take the "discussion" with a grain of salt. It is far more about egos of different groups of people, neither of whom has a solution, than it is about the actual state of physics. Physics is just fine, it simply didn't make as much progress as some elderly physicist would like to have seen. Will Susskind be able to die in peace, having seen the holy land at least from afar? No. He can talk to Moses and Newton and Einstein about that experience when he gets to heaven. :-)
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@eljcd I think there are a number of attempts to use more or less plain QFT to work around the gravity problem. There is the double copy group which says that basically two copies of the color force can produce gravity. I have yet to understand how that is supposed to work even even at the kindergarten level, so I can't comment. Then there is an attempt at making gravity a massive field, which could possibly explain dark energy, but the model seems to suffer from cosmological stability problems... quantum gravity seems a bit like playing Whack-a-mole, whenever a model is successful in one area, it has serious, if not deadly problems in another.
My perspective as an experimentalist is a bit more focused on observations, right now. I don't believe that we will get the funding/develop technology to get beyond the 1TeV accelerator barrier within my remaining lifetime. So that leaves astronomical and cosmological observations. If you have been watching the success of gravitational wave astronomy and radio astronomy to image black holes, then it becomes somewhat evident that building new (space based?) observatories for gravitational, optical and radio-astronomy is the way to go. Nature has given us such a beautiful laboratory of absolutely monstrous extreme systems in the universe. We can never hope to replicate the conditions near and inside those objects in the lab, but we can harvest much of this information from a distance. That is where the near term progress of physics lies, IMHO.
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@macschomo No, but it's not caused by quantum fluctuations, either, we just don't have a good language to talk about these things.
We can see the problem already in the ground state energy, which ought to be enormous, according to the usual calculation methodology. Instead the effective ground state energy is tiny. So that tells us that something at the interface of quantum mechanics of fields and the underlying geometry of spacetime is broken. It's probably the same technicality that makes it so hard to deal with gravity in a quantum mechanical way.
So where does this problem come from? For one thing, it comes from our definition of "physical event", which is classical and point-like. That, already, would cause an infinite energy term in the most naive formulation, right? We can not even implement a single "point" in spacetime with a proper physical system without running into the infinity problem, but our theory then happily goes on to integrate over an infinite number of four dimensional spacetime integrals to get to a finite result (with some very heavy lifting in the symmetries department that offset some infinities against others).
Moreover, the ground state energy was infinite in classical mechanics, already, if you remember... if we integrate the energy density of a point charge all the way to r=0, then we end up with a divergent integral, so the problem is not even quantum mechanical, it is a general conceptual difficulty with the infinitely "small".
Nature does not have that problem. It simply does not "start" with spacetime, at all. It does not seem to care about the "infinitely small". It only cares about whatever scale is of relevance based on the total energy in the system. Instead, spacetime "is" what "stays behind" in an abstract way (that can, as I said, not implemented with physical systems) once we strip all matter and radiation out of the actual physical solutions. Now, if I could tell you how to implement this with a mathematical model, then I would be in line for the physics Nobel. As far as I know nobody can do this, yet, but we can still point to where the problem originates: from dragging the classical mechanics picture too far into quantum mechanics.
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@augustinemmuogbana3382 That's the definition of "observation" in science. It always refers to a physical event. Like I said, we can use hypotheses to predict phenomena that should be observable according to the hypotheses. Unless they are being actually observed, however, we can't assign "reality" to them. I can, for instance, calculate the exponential function of the number of hydrogen atoms in the universe. Does this mean that there is a physical observation that corresponds to this very large number? No. There is, as far as I can tell, no natural phenomenon that counts hydrogen atoms and then somehow implements their exponential function. Hence I will never claim that exp(n_Hydrogen) is a physical phenomenon.
In the same way I can't claim that virtual particles are a physical phenomenon. They are an intermediate result in a calculation procedure that can, with enormous difficulty, be used to make SOME predictions about quantum fields. We can't even claim that it makes only correct predictions. The vacuum ground state energy prediction, for instance, is wrong by many orders of magnitude, which proves that something is fundamentally wrong with the calculation to begin with.
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@TWak4ord The galaxies beyond a fraction of the size of the current universe are already out of our sphere of influence, so we couldn't tie a string to them that would drive e.g. a generator, if that's the kind of mechanical analogy that you are looking for. They are already moving away at more than the speed of light from us. What an observer would see over the long term is that space will be emptying out, except for a few gravitationally bound local objects, which will not move away, unless dark energy is increasing over time and then everything will fall apart. At one point that process will probably become so fast that there will be a new wave of matter creation and that is where this "dark energy" will "condense" into new matter and radiation, if you will. So that's really a phase transition from an empty universe into a new matter filled universe. This may repeat cyclically over and over, again. Whether this actually increases the total size of the universe is not clear. Personally I have a feeling that it's more like kneading a finite piece of dough, the "inside" goes "out" and the "outside" comes "in", but, of course, the "inside" is everywhere and so is the "outside". That is very hard to visualize geometrically in a flat space, where something like this can't happen.
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