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The Shape of Spacetime. |
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| Jun8-12, 02:44 AM | #86 |
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The Shape of Spacetime. |
| Jun8-12, 03:08 AM | #87 |
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What I want to know is, how is a universe that has life in it and is part of a multiverse, different from a universe that has life in it and is not part of a multiverse? If someone could answer that question for me, I could then test the concept scientifically. baryon, a member of the ground state decuplet, was a prediction of the model. When it was discovered in an experiment at Brookhaven National Laboratory, Gell-Mann received a Nobel prize for his work on the quark model." I don't know chapter and verse of how many particle attributes the model was created to explain, versus how many it predicted and were later found, but I understand that the situation was not all the former-- meeting the criterion of making "risky predictions." So it's not so much the theory itself, it is the way it is used. I think what Popper was mostly cautioning against is rationalization-- the tendency to interpret facts in the light of a preconception. Instead, the scientist must take the opposite approach, the skeptical approach-- disbelieve everything, and fervently so, and attempt as hard as possible to falsify every theory. Only the theories that survive the onslaught can then be considered good, but it must be clear that the theory could have failed, even should have failed, had it not been onto something crucially important. |
| Jun8-12, 03:11 AM | #88 |
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| Jun8-12, 05:33 AM | #89 |
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I don't see what's wrong with making claims about the universe. The whole point of theory is to make claims on the universe before you've done empirical work establishing them. It may turn out that those claims are false, but onward or upward. For example, I happen to believe that if you drop a proton and an anti-proton, they will fall at the same rate. That doesn't mean that I don't think we shouldn't do the experiment. Same with the FTL neutrinos. I didn't think that we'd discover FTL neutrinos, but I'm glad that someone checked it. My first reaction to the results was "experimental error" however if you have another group do a different experiment that measures the same thing, that goes out the window. I believe lots of things. I also believe that much of what I believe is wrong. Part of the reason I believe things without empirical data is that i have to in order to get through the day. I happen to believe that there isn't a man eating Bengal tiger outside my office door. If I believed that there was a Bengal tiger, I'd behave very differently. You are mistaking assumptions with belief. Just because a theorist writes a paper that outlines the predictions of eternal inflation, doesn't mean that they *believe* it. There are religions that are based on the idea of *belief*, but *belief* in science doesn't work the same way that it does in Protestant Christianity. The papers on eternal inflation are usually, if you assume X, you'll see Y. That's got nothing to do with *belief* in the religious sense. The other thing is that you don't know if you can explain almost anything until you do the math. It turns out that string theory has this problem in that it doesn't constrain the value of fundamental constants. This wasn't obvious in 1980. It takes years to work through a theory to figure out exactly what it predicts. Also, what is a theory. I take cold dark matter. It doesn't work. I add the cosmological constant. Is this the same theory or a different one? Also, you are missing the Dyson paper that argues that eternal inflation is inconsistent with a curvature more than 1e-4. If we find 1e-3 then eternal inflation is dead. Now it wouldn't kill the general inflation concept. That would require addressing the CMB microwave background and the horizon problem. A universe that's in a multiverse has cosmological parameters set up so that if you apply those parameters to other universes that have the same class of physical laws and observers, that you end up with the same numbers. For example http://arxiv.org/pdf/1202.5037v1.pdf If eternal inflation is true that most universes will end up with large amounts of inflation, and hence a very small curvature. Which means that if you pick a generic universe, you'll see no curvature. If you do see any curvature, then this is extremely, extremely unlikely, and since there are *no* anthropic reasons why curvature of 0.0000 is preferable to curvature of 0.001, the conclusion is that if you see small curvature than eternal inflation is dead to very high probability. In order to actually do something "real" you have to make long and technical arguments that 99% of the people in popular books will fall asleep reading. A lot of the professional literature is about trying to figure out what can we say, and what we can't from multiverse arguments. One thing that *is* known from quantum mechanics is that you get the right numbers if you *assume* that there are multiple universes. Now for most of QM you can end up arguing that these is just a "mathematical trick" and that the alternative universes don't "really" exist. You can call this an "interpretation" The trouble is that if you argue that the universe is the result of a quantum fluctuation, then you have problems figuring out what's going on. 2) OK, you are a Marxist in 1910, and the revolution hasn't happened and you are clearly wrong. What do you do? You tweak the theory to explain what happened with the minimum of changes. The reason I can't argue that this is a bad thing is that this is exactly what scientists do, when their theories get disproven. 2) I don't think that scientists are less immune to rationalization than other groups. It's a bad idea to pretend that scientists are even-handed or less prone to belief than other people. Interpreting data in light of a preconception is not necessarily a bad thing, and I think it's impossible to interpret data without preconceptions. Pretending that scientist *can* interpret data without preconceptions is bad, because that means that the preconceptions just go underground. Something that I have seen (although not in physics) is uneven skepticism. If someone assert something you agree with, you let the thing pass, whereas if you assert something they disagree with, they will argue the issue to death and demand evidence that isn't available. Also, bad theories are sometimes good. You figure out that it's X by eliminating A, B, and C. One reason I dislike Popper is that things are either true or false. That's not the way science works. If something turns out to be "true if you add a fudge factor" that could be useful. |
| Jun8-12, 05:44 AM | #90 |
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For someone that just spend lots of articles talking about how we should be skeptical and shouldn't rationalize, you are being remarkably uncritical about Popper. Popper's ideas belong into a class of philosophies called logical positivism. One problem with those philosophies is that they state that we shouldn't make statements that are untestable, and then proceed to do just that. |
| Jun8-12, 05:32 PM | #91 |
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"It included as members, besides Schlick who had been appointed to Mach's old chair in Philosophy of the Inductive Sciences at the University of Vienna in 1922, the mathematician Hans Hahn, the physicist Philipp Frank, the social scientist Otto Neurath, his wife, the mathematician Olga Hahn-Neurath, the philosopher Viktor Kraft, the mathematicians Theodor Radacovic and Gustav Bergmann and, since 1926, the philosopher and logician Rudolf Carnap. (Even before World War I, there existed a similarly oriented discussion circle that included Frank, Hahn and Neurath. During the time of the Schlick Circle, Frank resided in Prague throughout, Carnap did so from 1931.) Further members were recruited among Schlick's students, like Friedrich Waismann, Herbert Feigl and Marcel Natkin, others were recruited among Hahn's students, like Karl Menger and Kurt Gödel. Though listed as members in the manifesto, Menger and Kraft later wanted to be known only as as sympathetic associates, like, all along, the mathematician Kurt Reidemeister and the philosopher and historian of science Edgar Zilsel. (Karl Popper was never a member or associate of the Circle, though he studied with Hahn in the 1920s and in the early 1930s discussed its doctrines with Feigl and Carnap.) " Later, we find about Popper: "He did not however, regularly attend meetings of the Vienna Circle and generally considered himself an outsider. Later he claimed to have “killed” logical positivism." The Wiki on logical positivism makes this point even more clear, where we find: "A well-known critic of logical positivism was Karl Popper, who published the book Logik der Forschung in 1934 (translated by himself as The Logic of Scientific Discovery, published 1959). In it he argued that the positivists' criterion of verifiability was too strong a criterion for science, and should be replaced by a criterion of falsifiability. Popper thought that falsifiability was a better criterion because it did not invite the philosophical problems inherent in verifying an inductive inference, and it allowed statements from the physical sciences which seemed scientific but which did not satisfy the verification criterion. Popper's concern was not with distinguishing meaningful from meaningless statements, but distinguishing scientific from metaphysical statements. Unlike the positivists, he did not claim that metaphysical statements must be meaningless; he also claimed that a statement which was "metaphysical" and unfalsifiable in one century (like the ancient Greek philosophy about atoms) could, in another century, be developed into falsifiable theories that have the metaphysical views as a consequence, and thus become scientific." From these quotes, we find several points are in evidence: 1) logical positivists are not just clueless philosophers who "got science wrong", as you say, but rather include active physicists and mathematicians, which was not untypical of the day. 2) Karl Popper's name does not generally come up under the heading of "logical positivist", and indeed he claimed that his approach led to the "death" of logical positivism. 3) Popper's main objection to positivism is that he did not feel the point was being positive about what we could verify, but rather being able to tell if we have tried hard enough to falsify our theories. This was a much more flexible view of a good scientific theory. 4) Popper seemed to agree with my characterization that an idea that can at first only be regarded as speculation can later on graduate to the status of a scientific theory, at such a time that falsifiability becomes a legitimate possibility. This last issue is the entire crux of the multiverse question-- is there legitimate falsifiability there, given what we already know what must be true (such as that we are here)? Is there really "risky predictions" being made, that one would expect to be wrong if the multiverse is not a good model? Personally, I have never seen a single one-- and the papers that report on predictions are usually talking about things that could be tested in principle, rather than legitimate tests we can expect to actually carry out, motivated by the theory. A theory that motivates falsifying observations is a good theory, but I just don't see the observations that the multiverse is motivating, that any cosmological picture would not motivate equally well. It's just a theory waiting for an actual purpose, beyond the "warm fuzzy feeling" of successful rationalization. In regard to a more correct understanding of Popper's views, I would argue that they reveal just how insightful he really was, and how important of a "cautionary tale" he provided for helping keep scientists honest to others in how they sell their theories, and more importantly, honest to themselves. |
| Jun10-12, 08:13 AM | #92 |
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It has been argued by a number of authors that eternal chaotic inflation ameliorates the problem. See: http://arxiv.org/abs/hep-th/0702178 |
| Jun10-12, 08:42 AM | #93 |
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That last paper seems like a nice summary of many of the issues we have been discussing, and note the abstract includes this:
The paper stresses ways to connect with the standards of science in terms of changing our testable predictions, but I would still worry about Popper's "risky" element: a signpost to a theory that is a factory for making predictions that are capable of fitting anything we observe sounds a lot like fitting n independent observables with n theoretical degrees of freedom, i.e., not risky. It still sounds to me that the fundamental motivation for multiverse-oriented models is primarily metaphysical, and I think that should give us all pause as to whether or not the important line between science and metaphysics is being carefully respected in the more grandiose versions of claims on the multiverse. |
| Jun10-12, 09:12 AM | #94 |
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The problem is not that they don't make experimental predictions, its that there is an inverse problem. Namely that there is another model Y that makes the same or almost the same detailed predictions as Multiverse model X. Of course as we get better with understanding model X, the inverse problem diminishes as new predictions are able to be made and so forth. But anyway the naive statement is then that you should prefer model Y b/c it doesn't include the same superstructure that model X does. But this is not correct. The reason model X should be preferred over model Y, is that there is a great deal fewer miracles that must occur. The finetuning is considerably reduced and more 'natural', and the extra assumptions are quite reasonable: Namely that if we believe in inflation to begin with, then we know that our universe is very large. If we believe in a very large universe, than an event that occured by chance once, could in principle happen again somewhere else. Finally the event that happened once, has a parameter space of possible constants that very generically create a situation where inflation is eternal (the case where inflation is not eternal is of measure zero)! |
| Jun10-12, 09:17 AM | #95 |
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The problem is experiment currently only gives 2 numbers, which still vastly undetermines the solutions. Thus theorists have to ask questions about the space of all possible inflationary universes satisfying the experimental constraints. |
| Jun10-12, 10:20 AM | #96 |
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| Jun10-12, 11:38 AM | #97 |
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What's more, it is also not clear to me that embedding one universe in a distribution that cannot be observed but is said to exist anyway is not purely metaphysical to its core-- how would that model ever be distinguished from a model which simply asserts "any time we have prior knowledge X of the universe, and we want to make a prediction for unknown outcome Y, we can imagine there is some probability distribution Z, informed by X, that is pertinent to Y." I see nowhere in any of that which requires the existence of a multiverse, any more than playing a single hand of poker in a perfectly intelligent way requires that any other hands of poker have ever existed anywhere else. It's nothing but a probabilistic model for how unknowns in nature should be addressed, all else is metaphysics. |
| Jun10-12, 11:41 AM | #98 |
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| Jun11-12, 12:30 AM | #99 |
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I don't agree, I don't want to get into the situation which happens with Marx in which anytime someone argues that Marx is just wrong, people argue that he is misquoted. Also, I've actually tried to minimize philosophy, because I think that you vastly underestimate how falsifiable the models that have been proposed really are, and if I can convince you of that, then the philosophy is irrelevant. The other thing is that if someone comes up with reasons to think that multiverse models are *inherently* unfalsifiable, then yes we do have a problem, but I don't think that's the situation. I think it could be argued that talking about the "multiverse concept" is not a proper scientific theory because it is *too vague*. The "multiverse concept" is probably much too vague to falsify, but it can (and has been used) to generate specific theories that are clearly falsifiable. Most of the time multiverse ideas have been invoked in the professional literature, they refer to "multiverses generated by string theory" and those are subject to falsifiablity (i.e. if string theory is wrong, then those models are wrong). The same goes with the anthropic principle. For it to work, you have to be in a situation where life is impossible under some set of physical constants. This is not obviously true. For example, if you double the FSC, then human life may be impossible, but if it turns out that you can create something else intelligent, then the anthropic principle is dead. Max Tegmark's paper on dimensionality for one. Also, it's an interesting paper, because even though the final result is not highly testable, the fact that dimensionality has this effect is interesting. This is why I think that *requiring* falsifiablity to label something science is a bad idea. There are clearly things that scientists do that are science that don't involve creating falsifiable models. |
| Jun11-12, 12:38 AM | #100 |
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Also it would help if you named some names.
I do agree that some popular science writers (Lawrence Krauss, Michio Kaku, and Stephen Hawking) are *way* overselling what is currently being investigated, and part of the problem is that someone that makes scientifically ground claims is going to get less attention that someone that makes extravagant claims. I *don't* think that this is a problem in the professional literature. Something that I find interesting is that nothing that Krauss has mentioned in his public speeches is part of his professional publication record, and when I read is peer-reviewed papers, it's almost like reading some one else. |
| Jun11-12, 12:41 AM | #101 |
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| Jun11-12, 12:52 AM | #102 |
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This is a teaching issue, because I don't think that most intro astronomy courses for non-major really go into sufficient detail about the empirical evidence for cosmological models. Part of the problem is that to lots of people, they are *boring*. So in the case of eternal inflation, you are *required* to have a large volume outside the observed universe. Again, I think the reason we are even talking metaphysics is that we aren't being specific enough. We aren't talking about *all possible multiverse models*, we are talking about a *specific* model. |
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