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greywolf42 wrote:
Bjoern Feuerbacher wrote in message ... greywolf42 wrote: [snip] Since Lerner did not identify what value he used for 'interesting mass,' the claim that his math was wrong is spurious. Well, it's rather clear (if one knows a bit about cosmology) what an "interesting mass" would be (several eV will do it). Hence the fact that Lerner doesn't give a specific value is rather irrelevant. It wasn't "clear" at all, in 1991. See report below. I read the report below and explained that it doesn't support your point - it only talks about *electron* neutrinos. There is still no basis for claiming that Lerner's "math is wrong." As Lerner gave no math. As I explained, if one takes reasonable values (and I explained (*why* the numbers are reasonable) and puts them in, one sees that Lerner was wrong. Hence there are only two choices, IMO: 1) Lerner didn't do any math and made the whole thing up. 2) Lerner did some math and screwed it up. Ned Wright and me are only generous and assume that it was (2), not (1). [snip] They appear to travel at the speed of light, so must have no mass. This argument doesn't make much sense. They *appear* to travel at the speed of light, so *must* have no mass? What a great logic! Well, yeah... if the 'appearance' is the result of an experimental measurement. Can you say 'arbitrarily close to?' No experiment can ever measure "arbitrarily close to", so this makes no sense at all. Hint: we know today that neutrinos *have* mass, hence that they *don't* travel at the speed of light. Therefore, obviously, the experiments which showed that they travel *approximately* at the speed of light weren't sensitive enough - and every experimental physicist should have known that even back then! Additionally, there are theories which predict not only the "light" neutrinos we know, but additional neutrinos which are much more heavy. Try reading up on "see-saw" mechanism. No. Please stick to the issue. Err, the issue is if the experiments back then were able to rule out heavy neutrinos or not. The "see-saw" mechanisms is another point that the experiments could *not* have rule this out. Hence this *is* the issue. However, particle theorists postulated that neutrinos do have mass, and some cosmologists decided that these massive neutrinos could be the missing mass." "A supernova blew away this idea. I have to agree with Ned Wright: the supernova did *not* blow away this idea. His argumentation, which you quote above, makes perfect sense. Today. Not in 1991. Absolutely wrong. It was clear even in 1991 that a mass of several eV would 1) give a substantial contribution to Omega and 2) could not be detected by the supernova measurements. Additionally, it was clear even in 1991 that the supernova measurements could give limits only on the electron neutrino mass, not on the masses of the other neutrinos. Ned Wright is right, and you are wrong. Live with it. [snip] How does Lerner get from "they all arrived in a single bunch" to "they all travel at the speed of light"? This argument makes no sense at all! They arrived in a 'bunch', (a period of 6 sec) after travelling 160,000 light years. And arrived minutes before the SN light pulse. So, they were travelling at around 0.999999999999875*c (according to Ned). Right. 0.999999999999875*c. Not c. So, again, where does Lerner get "they all travel at the speed of light" from? The only thing you can deduce from the supernova measurements is (taking Wright's numbers) that "they all travel at 0.999999999999875*c". And this doesn't help Lerner's case, because this still would give a significant contribution of the neutrino mass to Omega. Lerner shows here quite nicely that he either doesn't bother to do the math, or that he did it, but screwed it up somewhere. The supernova measurements simply weren't good enough to rule out at significant neutrino mass. Furthermore, for the 5th time, at least, these measurements could only place limits on the electron neutrino mass, not on the other two masses. Again, Wright's calculations above are much better; Than what? Than Lerner's unsupported assertions. note that Wright, in contrast to Lerner, presents specific numbers! Lerner says only "a single bunch" - but doesn't tell his readers that this "bunch" had a lenght of about 10 seconds, and that this is *way* too much time to rule out a neutrino mass... The key word being 'cosmologically interesting.' I explained what "cosmologically interesting" means - that it is clear (and was clear even in 1991) that a mass of several eV *would* have been interesting, and that the supernova measurements weren't able to rule this out, according to Wright's calculation. How often do I need to repeat this argument until you understand it? That Ned Wright disagrees with Lerner about what constitutes 'interesting mass' is not an "error" on the part of Lerner. Yes, it is. One can calculate what an "interesting" mass would be: IIRC, the contribution of neutrinos to Omega is equal to the neutrino mass, divided by 92 eV/c^2. Hence a cosmologically "interesting" neutrino mass is obviously a few eV/c^2 - just the number Wright used above in his calculation! Marvellous! But that is theory-dependent. Well, it depends on the Theory of General Relativity, right. So what? And the theories keep changing (no problem with that). The TGR hasn't changed since it was discovered. But you contradict the 'wisdom' of 1991 -- when Lerner's book was written. I would say that you don't know what the "wisdom" of 1991 really were. [snip] Then again, so is Ned's bald assertion that 5 eV neutrinos are 'cosmologically interesting'. See above. Thanks. Now please provide one using only 1991 theory. That the contribution of neutrinos to Omega is given by their mass, divided by 92 eV/c^2 was known long before 1991. It's a quite easy calculation which uses only long established theories. {snip the rest} Since Eric Lerner did not identify a value of what he considered 'interesting mass' and because Ned Wright did not provide any reference for why he thought 5eV was cosmologically 'interesting,' it was difficult to directly address the issue. How about asking Ned Wright first about this, instead of at once attacking him? I'm not 'attacking him.' Yes, you are. I'm pointing out the 'elemenatry errors' in Ned Wright's webpage. If you had ask him first about what seemed to be errors to you, you would have learned that they aren't really errors - only your lack of knowledge. I'm not 'attacking' anything. And I'm not providing anything 'personal' against Ned. Only against his arguments. I didn't mention "personal" anywhere. But, if you think this is an 'attack,' why didn't Ned Wright ask Lerner about his book, instead of 'attacking the book?' How do you know that Ned Wright didn't discuss with Lerner? However, I have run across a contemporaneous reference about the degree of support available for 'interesting mass' as things existed in 1991. The reference is the book "The End of Physics," by David Lindley ("Nature" editor and referee). Publication date 1993. On page 199 to 200, Lindley discusses the evidence for 'interesting' mass for the neutrino: =========================================== There was a moment in the early 1980s when it seemed possible that this dark matter had been identified. A few experiments around the world came up with some evidence that the neutrino, in standard physics strictly a massless particle, might actually have a small mass. The mass per neutrino was tiny, but because there are as many neutrinos in the universe a large as there are photons in the three-degree microwave background, even a tiny mass could add up to a lot for cosmology. It was entirely conceivable that there could be about ten times as much neutrino mass as normal mass, in which case the overall density of the univsere could reach the critical value. As a form of dark matter, massive neutrinos had some appeal. Neutrinos are known to exist, and giving a previously unsuspected mass to an existing particle is more palatable than inventing a wholly new particle -- the hypothetical photino, for example -- to act the part of the dark matter. On top of that, the mass suggested by laboratory experiments was about the right value to be cosmologically significant. There were reasons for taking 'neutrino cosmology' seriously. IIRC, these experiments measured only the mass of the *electron* neutrino (the text doesn't say explicitly, but the only experiments I know of from that time which gave a hint on massive neutrinos were the ones where the beta decay was studied, AFAIK). Hence Wright's point that an "interesting" mass for the my and tau neutrino wasn't ruled out at that time remains still valid, and Lerner is still wrong. There was no reason to suspect that mu and tau neutrinos had significantly more mass than the electron neutrino, in 1991. The point is that there were no measurements available to rule such higher masses out. And "there is no reason to suspect" makes little sense: little is known about the reasons for the various masses of the particles (for example, no one can explain why the top quark is so heavy compared to all the other quarks), so no one had the possibility to make any educated guesses on the masses of the mu and tau neutrinos. [snip rest of article] No, let's leave it in -- since it explicitly contradicts your statements (and Ned's). The article claims that a "cosmologically interesting" mass for the neutrino was ruled out, right - but I already explained that this applies only to the mass of the electron neutrino, not to the other two. Additionally, this article has nothing to do with the supernova measurements, which, according to Lerner, ruled out a "cosmologically interesting" mass for the neutrinos. I thought we were discussing this assertion of Lerner? You are moving the goalposts, IMO. [snip] The original laboratory evidence that neutrinos might have a small but cosmologically interesting mass has now more or less been discounted. ... There, I guess you think that this contradicts my claims, and Ned's, right? For the 10th time: this applies only to *electron* neutrinos!!! So again, we see that Ned's accusations are completely unsupported. No, we see that they are well supported, sorry. LOL! Only if you snip and ignore the evidence. I only snipped irrelevant things: descriptions of experiments which 1) only refer to electron neutrinos and hence can't rule out cosmologically interesting masses for the other neutrinos and 2) don't have anything to do with the supernova measurements, which, according to Lerner, disproved such an interesting mass. I'm only saying that Lerner is wrong when he claims that the supernova measurements ruled out a cosmologically interesting mass, and from what you quoted, I'd say that Wright argues the same thing. So, bringing up *other* experiments which supposedly ruled out such a mass is beside the point - in other words, it's moving the goalposts. It appears that Lerner correctly described the common opinion that existed in 1991 (at least until 1993) -- that neutrinos did not contain cosmologically 'interesting' mass. Even if that was the opinion back then (and I'm not sure about this), The only reason you are 'not sure' is that you snipped the evidence. For the 20th time: I explained that this evidence refers only to *ELECTRON* neutrinos! Did you get it this time? And if you're 'not sure', why are you butting in? Because there is one thing I'm sure about: that Lerner's claims about the supernova measurements are wrong. *You* started bringing up other points, IIRC. This is the whole point of the thread! The "whole point" I'm debating are Lerner's arguments about the supernova measurements. Lerner's supernova argument is nevertheless still bogus. It still is. [snip rest] LOL! Another 'convenient' snip. Well, I explained why I don't it to be relevant. Replacing the rest of the paragraph: ============================ Now, if Ned (in the year 2000) feels that neutrino mass is 'interesting' again, that's a valid point of discussion between theories -- if he can come up with a reference. However, it is NOT in any manner an 'error' on the part of Eric Lerner or TBBNH. I don't see why you have a problem that I snipped this. It has absolutely nothing to do with my point. ============================ Of course you snipped it. It showed your attempt to divert from the issue under discussion. Pardon? The issue under discussion was Lerner's argument about the supernova, wasn't it? You (and Ned) are trying to claim an 'error' within the 1991 book TBBNH because of theories not proposed until after 1993! For the 20th time: that neutrinos with a mass of several eV would give a significant contribution to Omega was already known in 1991. That such a small mass could not be detected by the supernova measurments was already known in 1991, too. Might as well chastise Newton for not discussing General Relativity. What a nonsense. Bye, Bjoern |
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