From Bartosz.Lew w astri.uni.torun.pl Tue Jan 7 14:46:03 2003 From: Bartosz.Lew w astri.uni.torun.pl (Bartosz Lew) Date: Tue, 7 Jan 2003 14:46:03 +0100 (CET) Subject: P(k) Message-ID: what is the true meaning of P(k) ??? bartek From boud w astro.uni.torun.pl Tue Jan 7 17:22:23 2003 From: boud w astro.uni.torun.pl (Boud Roukema) Date: Tue, 7 Jan 2003 17:22:23 +0100 (MET) Subject: P(k) In-Reply-To: Message-ID: On Tue, 7 Jan 2003, Bartosz Lew wrote: > > what is the true meaning of P(k) ??? 42 ;) From boud w astro.uni.torun.pl Tue Jan 7 17:48:05 2003 From: boud w astro.uni.torun.pl (Boud Roukema) Date: Tue, 7 Jan 2003 17:48:05 +0100 (MET) Subject: P(k) In-Reply-To: Message-ID: Hi again, Bartek, everyone, On Tue, 7 Jan 2003, Bartosz Lew wrote: > > what is the true meaning of P(k) ??? It only has a true meaning if: (1) the curvature of comoving space is zero (it is perfectly flat) (2) the topology of comoving space is an equal-sided, right-angled, hypertorus If either (1) or (2) is false, then P(k) is only an *approximation*, and if you forget this you may make errors. (If everyone makes the same error, it is still an error. It's OK politically, but not OK scientifically.) I did a quick search using http://www.google.com "power spectrum density perturbations" and found a fairly standard definition by Pedro Viana: http://nedwww.ipac.caltech.edu/level5/Viana/Viana2_1.html What seems to be missing is the definition of delta_[k (scalar)] in terms of delta_[k (vector)]. My guess is that |delta_[k (scalar)]|^2 in the definition of P(k) should be replaced by < | delta_[k (vector)] | ^2 > where the average is taken over all [k (vector)] pointing in different directions, for the same fixed magnitude of k > 0 . But you should check, where you take an averages or absolute value can make a difference... boud From szajtan w poczta.onet.pl Mon Jan 13 19:49:36 2003 From: szajtan w poczta.onet.pl (szajtan) Date: Mon, 13 Jan 2003 19:49:36 +0100 Subject: all those constraints Message-ID: <001301c2bb34$8e9024e0$b8b21d3e@szajcomp> Boud, I got your point about those constraints ;) (Maeybe there arose a little confiusion because I treat everything from the CMB point of view (CMB & rest of the world) as everything else (other methods) were just a kind of supplementary thing, some aid of narrowing our choices in space of parameters.) When we have a theory describing sth. with some free parameters, it doesnt give any constraints on unknown values until we know the values of those parameters. In that moment measurments enter the scene as some kind of calibration. Then we have a model and can derive whatever we want quantitatively. (e.g. LSS constraint - from assumption on model + "calibration" measurments ) But what if we had such a good theory that it doesnt need any additional measurmenst (except some well known physical constants) (nb measurments that introduce additional uncertanities) to predict the thing we're looking for. That would be a constraint of purely theoretical nature. (e.g. BBN constraint - only from physics of high energy particles - which happens to be more less consistent with constraints from observations of Ly_\alpha forest) Do you agree with this approach to the word "constraint" in astronomy ? Bartek ps. mentioned constraints include h uncertanity (which should be constrained externaly (eg. by SNIa constraint :)) (hmm but in this case I treat SNIa constraint supplementary not equivalently which at the beginning wasn't my intent) Maeybe this is just a nomenclature problem. We cannot deal with all methods of estimating parameters simultanously, so we pick one to ESTIMATE (DERIVE) parameters and then as an additional help treat all other estimations (comming from other methods) as CONSTRAINTS. I think thats it ! ***************r-e-k-l-a-m-a************** Chcesz oszczedzic na kosztach obslugi bankowej ? mBIZNES - konto dla firm http://epieniadze.onet.pl/mbiznes From michalf w ncac.torun.pl Tue Jan 14 12:04:47 2003 From: michalf w ncac.torun.pl (Michal Frackowiak) Date: Tue, 14 Jan 2003 12:04:47 +0100 Subject: all those constraints References: <001301c2bb34$8e9024e0$b8b21d3e@szajcomp> Message-ID: <3E23EECF.6010201@ncac.torun.pl> szajtan wrote: >Boud, I got your point about those constraints ;) > >(Maeybe there arose a little confiusion because I treat everything from the >CMB point of view (CMB & rest of the world) as everything else (other >methods) were just a kind of supplementary thing, some aid of narrowing our >choices in space of parameters.) > >When we have a theory describing sth. with some free parameters, it doesnt >give any constraints on unknown values until we know the values of those >parameters. In that moment measurments enter the scene as some kind of >calibration. Then we have a model and can derive whatever we want >quantitatively. >(e.g. LSS constraint - from assumption on model + "calibration" > measurments ) > >But what if we had such a good theory that it doesnt need any additional >measurmenst (except some well known physical constants) (nb measurments that >introduce additional uncertanities) to predict the thing we're looking for. >That would be a constraint of purely theoretical nature. >(e.g. BBN constraint - only from physics of high energy particles - which >happens to be more less consistent with constraints from observations of >Ly_\alpha forest) > >Do you agree with this approach to the word "constraint" in astronomy ? > > holy grail of physics? gut? theory of everything? that's how they should work. they predict values of all constansts instead on depending on measurements. good way... but at the moment we have only parametrizable theories. :-( pozdr - michal From boud w astro.uni.torun.pl Tue Jan 14 13:47:23 2003 From: boud w astro.uni.torun.pl (Boud Roukema) Date: Tue, 14 Jan 2003 13:47:23 +0100 (MET) Subject: all those constraints In-Reply-To: <3E23EECF.6010201@ncac.torun.pl> Message-ID: Witam, On Tue, 14 Jan 2003, Michal Frackowiak wrote: > szajtan wrote: > > >Boud, I got your point about those constraints ;) > > > >(Maeybe there arose a little confiusion because I treat everything from the > >CMB point of view (CMB & rest of the world) as everything else (other > >methods) were just a kind of supplementary thing, some aid of narrowing our > >choices in space of parameters.) > > > >When we have a theory describing sth. with some free parameters, it doesnt > >give any constraints on unknown values until we know the values of those > >parameters. In that moment measurments enter the scene as some kind of > >calibration. Then we have a model and can derive whatever we want > >quantitatively. > >(e.g. LSS constraint - from assumption on model + "calibration" > > measurments ) > > > >But what if we had such a good theory that it doesnt need any additional > >measurmenst (except some well known physical constants) (nb measurments that > >introduce additional uncertanities) to predict the thing we're looking for. > >That would be a constraint of purely theoretical nature. > >(e.g. BBN constraint - only from physics of high energy particles - which > >happens to be more less consistent with constraints from observations of > >Ly_\alpha forest) > > > >Do you agree with this approach to the word "constraint" in astronomy ? My understanding of how the word "constraint" is used in astronomy is that you should still not use the word "constraint" here. The tradition is to use "constraint" to mean an observational constraint. You may choose to try to fight this tradition, but often it's not worth the effort to try to change words which are used in a confusing way when the community that uses the words has no wish to make it easy for outsiders to enter into "the priesthood". We still talk about "metals" in astronomy. This was apparently a divergence between astronomers and chemists in the early 20th Century. The chemists won for the general public. If you really wish to fight ambiguity and lack of clarity, you should try contributing to the http://www.wikipedia.org . This is a community which naturally dislikes ambiguity. In fact, a concept has developed of "disambiguation pages" in wikipedia... > holy grail of physics? gut? theory of everything? that's how they should > work. they predict values of all constansts instead on depending on > measurements. good way... > but at the moment we have only parametrizable theories. :-( OK, i think here we have a use of language where there is some sort of consensus, at least among "theorists". "theory" - is the sort of thing we all hope for, a few fundamental principles and laws and constants *imply* everything else. "phenomenology" - is what happens in practice (it's what i do, mostly), where you have some laws based on theory but with the addition of some simple, though arbitrary laws, motivated from observation, and usually also some arbitrary free parameters. All of this is then compared to observation. And we then talk about "constraints" on a phenomenological model. This means observational constraints. If the phenomenological side seems to work correctly, such as the SNeIa method, then it may also "constrain" theory. Once we redo the DE method, we'll hopefully (maybe) have some "constraints" which are clear and robust. The method itself (SNeIa or comoving standard ruler) is a phenomenological method, but it may constrain theory. However, among "observers", theory and phenomenology are both called "theory", and the observers wish to "constrain theory". BTW, Michał just used the word "predict" in the way many people do, to "predict" a value we already have measured. A more careful word that some people now use is "postdict". Or you can simply say "imply", which is a purely logical word, without any connotations on philosophy of science. Think of "I predict that the ZSRR will collapse around 1989-1991" or "I predict that there will be a major political revolution in France in 1789." Those are not predictions. pozd boud PS: Michał - will you be in Piwnice for the http://adjani.astro.uni.torun.pl:9673/zwicky/WinterWorkshop ? From michalf w ncac.torun.pl Tue Jan 14 19:32:16 2003 From: michalf w ncac.torun.pl (Michal Frackowiak) Date: Tue, 14 Jan 2003 19:32:16 +0100 Subject: all those constraints References: Message-ID: <3E2457B0.5040504@ncac.torun.pl> Boud Roukema wrote: > >BTW, Michał just used the word "predict" in the way many people do, >to "predict" a value we already have measured. A more careful word that >some people now use is "postdict". Or you can simply say "imply", >which is a purely logical word, without any connotations on philosophy >of science. > >Think of "I predict that the ZSRR will collapse around 1989-1991" or >"I predict that there will be a major political revolution in France >in 1789." Those are not predictions. > > In the sense that all the "constants" and "parameters" directly follow from the theory without any need for experiment. independently. the theory of everything should e.g. give the values of plank's constant, cosmo constant, grav constant etc... and should not contain any adjustable parameters. regards - michal From boud w astro.uni.torun.pl Wed Jan 15 13:09:56 2003 From: boud w astro.uni.torun.pl (Boud Roukema) Date: Wed, 15 Jan 2003 13:09:56 +0100 (MET) Subject: all those constraints In-Reply-To: <3E2457B0.5040504@ncac.torun.pl> Message-ID: Cześć On Tue, 14 Jan 2003, Michal Frackowiak wrote: > Boud Roukema wrote: > > > > >BTW, Michał just used the word "predict" in the way many people do, > >to "predict" a value we already have measured. A more careful word that > >some people now use is "postdict". Or you can simply say "imply", > >which is a purely logical word, without any connotations on philosophy > >of science. > > > >Think of "I predict that the ZSRR will collapse around 1989-1991" or > >"I predict that there will be a major political revolution in France > >in 1789." Those are not predictions. > > > > > > In the sense that all the "constants" and "parameters" directly follow > from the theory without any need for experiment. independently. the > theory of everything should e.g. give the values of plank's constant, > cosmo constant, grav constant etc... and should not contain any > adjustable parameters. philosophy of science: OK, so now you're using "directly follow" and "give" That's fine by me, it's more careful than "predict". :) theory of everything: - cosmo constant or quintessence parameter(s) - agree that this(these) should be implied, not axiomatic - grav constant - disagree - as i see it, it's just a question of units, like converting seconds to metres, or miles to kilometres, or euros to f.francs (1 euro = 6.55957 f.francs exactly) - Planck's constant - no opinion... na jutro boud From michalf w ncac.torun.pl Wed Jan 15 16:16:10 2003 From: michalf w ncac.torun.pl (Michal Frackowiak) Date: Wed, 15 Jan 2003 16:16:10 +0100 Subject: all those constraints References: Message-ID: <3E257B3A.2010101@ncac.torun.pl> Boud Roukema wrote: >Cześć > >On Tue, 14 Jan 2003, Michal Frackowiak wrote: > > > >>Boud Roukema wrote: >> >> >> >>>BTW, Michał just used the word "predict" in the way many people do, >>>to "predict" a value we already have measured. A more careful word that >>>some people now use is "postdict". Or you can simply say "imply", >>>which is a purely logical word, without any connotations on philosophy >>>of science. >>> >>>Think of "I predict that the ZSRR will collapse around 1989-1991" or >>>"I predict that there will be a major political revolution in France >>>in 1789." Those are not predictions. >>> >>> >>> >>> >>In the sense that all the "constants" and "parameters" directly follow >>from the theory without any need for experiment. independently. the >>theory of everything should e.g. give the values of plank's constant, >>cosmo constant, grav constant etc... and should not contain any >>adjustable parameters. >> >> > > >philosophy of science: > >OK, so now you're using > "directly follow" >and > "give" >That's fine by me, it's more careful than "predict". :) > > >theory of everything: > >- cosmo constant or quintessence parameter(s) - agree that this(these) >should be implied, not axiomatic > >- grav constant - disagree - as i see it, it's just a question of >units, like converting seconds to metres, or miles to kilometres, >or euros to f.francs (1 euro = 6.55957 f.francs exactly >- Planck's constant - no opinion... > > > just followed M. Heller and some other guys in this matter. not only my own view.