In article <efbc3534.0205170217.59510...@posting.google.com>, Elizabeth
Weir <elizabeth_w...@mail.com> wrote: > "Neil Brennen" <chessn...@mindspring.com> wrote in message > <news:ac0job$spm$1@slb7.atl.mindspring.net>... > > David L. Webb wrote in message > > <160520021059210846%David.L.W...@Dartmouth.edu>...
> > > Then why, if she is completely unqualified, does Weir pontificate > > >about relativity theory?
[...]
> Again, my point is that Einstein's theory is redundant, that > the Lorentz transformations were a workable relativity theory > on their own
No, they were not, because Lorentz's interpretation of the Lorentz transformations was incomplete. Lorentz himself acknowledged as much.
> before Einstein screwed with them and that > Einstein's superfluous Second Postulate threw 20th c. physics > into disarray not to speak of the fact that it created an > ugly set of cultural metaphors.
The aesthetic appeal (or lack thereof of) of "cultural metaphors" is irrelevant to the correctness of a physical theory, a matter which is decided on experimental rather than aesthetic grounds. In fact, Einstein himself did not care much for quantum mechanics on aesthetic grounds, but there he was wrong -- experiment vindicated resoundingly the quantum theories of Bohr and others that Einstein found so aesthetically distasteful.
> Lorentzian relativity does not create problems in physics because > it does not require a *special theory.*
What on earth are you gibbering about? To the extent that Lorentz developed relativity theory, it was *only* the *special theory* -- Lorentz did *not* formulate a relativistic theory of gravitation. You appear to have misunderstood *completely* what is meant by the word "special" in the phrase "special theory of relativity." The "special theory" is simply a theory that unifies classical mechanics and electrodynamics without attempting to incorporate gravitation, a phenomenon whose Newtonian description is manifestly incompatible with the version of relativity mandated by the Lorentz transformations.
> And it's > metaphors are classical.
The "metaphors" of special relativity -- point particles rather than wave functions, deterministic evolution of a system even when probed by an observer, etc. -- are just as "classical" of those of Lorentz's incomplete and untenable theory of the electron. It was the *quantum* theory that introduced disturbing, decidedly nonclassical "metaphors" -- probabilistic rather than deterministic description of observations, etc.
> Pardon me for hating dystopia.
> Furthermore I asked you point blank how your Dartmouth colleague > Professor J. P. Hsu
For the *THIRD TIME*, Hsu is *NOT* my "Dartmouth colleague"! I have already noted that you evidently do not read French and hence cannot understand the Poincaré quotation I posted (it refutes your claim that Poincaré formulated relativity theory geometrically). I'm beginning to wonder whether you can even read English, as you continue to refer to Hsu as my "Dartmouth colleague" despite my having corrected this hilarious howler *twice* already! Here is what I wrote the last two times you described this hallucination of yours:
"There is nobody named Hsu among my colleagues at Dartmouth; I don't know where you hallucinated this factoid. The most likely explanation is that you don't even know the difference between *Dartmouth College*, a private, Ivy League institution, and the University of Massachusetts at Dartmouth, a branch campus of the public University of Massachusetts system. The latter has *no* affiliation whatever with the former -- its campus merely happens to be located in North Dartmouth, MA -- but it does have Jong-Ping Hsu as a member of its Engineering faculty, a circumstance which may be the source of your comic confusion."
Moreover, as I already noted, Hsu's is by no means the first attempt to dispense with Einstein's second postulate; Ignatowsky, Pars, and others long ago attempted this, beginning around 1910, as I recall, so it is not exactly the revolutionary new "neo-Lorentzian" idea you seem in your profound ignorance of the literature to believe that it is. For a related discussion, see N. D. Mermin, "Relativity without light", _Am. J. Phys._ 52 (1984), 119-124.
> was able to reject Einstein's Second POstulate > to get a more coherent relativity theory and all you have > come up with so far is some lame thing like "I haven't looked into it."
As your ignorance of the literature makes abundantly clear, you certainly have *NOT* looked into it -- or at any rate, you have not done so *competently*.
> You can't give a straight answer to anything but you are superbly > skilled at launching attacks and creating diversions.
I've given perfectly clear, direct answers, combining specific references to the scientific literature with directly pertinent quotations from that literature, not a one of which you have even acknowledged, let alone understood. By contrast, your activity seems to have been confined to grepping nutcase web sites, as well as a very few reliable web sites whose content you have farcically misunderstood. Indeed, you have not furnished even a *single citation*, let alone a quotation, that shows Poincaré formulating relativity kinematically or geometrically; on the other hand, I have posted -- repeatedly -- a direct quotation from Poincaré's famous paper on the subject that clearly states his dynamical approach. Indeed, in the _Rendicotti_ paper, Poincaré attributed the relativistic kinematic effects to a *force*, *not* to the geometry of spacetime. Here it is again, since you appear not to have been able to read it the first four times:
"Il faut donc a revenir à la theorie de Lorentz; mais si l'on veut la conserver et éviter d'intolérables contradictions, il faut supposer une *force speciale* [emphasis added] qui explique à la foi la contraction et la constance de deux des axes [of the electron]. J'ai chercher à determiner cette force, j'ai trouvé qu'*elle peut être assimilée à une pression extérieure constante, agissant sur l'électron déformable et compressible, et dont le travail est proportionnel aux variations du volume de cet électron*." [Emphasis in Poincaré]
However, as I've already noted, you probably think that _Rendicotti_ is a kind of pasta.
<chessn...@mindspring.com> wrote: > David L. Webb wrote in message > <160520022159401387%David.L.W...@Dartmouth.edu>... > >In article <ac0job$sp...@slb7.atl.mindspring.net>, Neil Brennen > ><chessn...@mindspring.com> wrote: > Weir is a troll-bot. Version 2.0 has a Webb-sensor > >> added, that picks up an ID from your PC and causes the Weir-bot to spew > some > >> science idiocy.
> (Snipped Webb's comments on math to avoid triggering the Weir Version 2.0)
> >> The Art-bot 2.0 has the same sensor, except it spews > >> mindless cryptograms when it finds you on-line. > > I long ago pegged Art as a troll, but if he is indeed merely a > >mechanized troll-bot, then there is something very seriously amiss with > >the sensor, since he spews crackpot cryptograms and nutcase numerology > >whether or not I'm online. > Oh my, perhaps there is an Art-bot VERsion 3.0, with both a Webb-sensor and > a timer for automatic daily posting. I'm sure it is a Masonic conspiracy.
No doubt -- but don't exclude the Templars, Rosicrucians, the Illuminati, and especially the Priory of Sion. (I believe that Art even includes the Benevolent and Protective Order of Elks in the ur-conspiracy now.)
> >> In fact, there are quite a few troll-bots on HLAS. The RichKen 3.0 has a > >> Gruman-sensor > > The Richard Ken-nada software has no memory. > None of the troll-bots do.
True, but the Ken-nada version is especially senile -- it can't even remember what it posted itself.
> I see the Kaplabot 2002 is still tripping over > itself in a debate with Terry Ross. > >> and a Funeral Elegy sensor. The Crowl-bot Deluxe posts idiocy > >> about the sonnets on a weekly basis. And the Dooleybot Version 2.1 will > >> respond with the comment "No CPLE" whenever someone attempts to point out > >> the unequal workings of the Price Magic Strainer. > > Dooley's most amusing feature is his inability to use a dictionary: > ><http://groups.google.com/groups?selm=060620011909569801%25David.L.Webb% > >40Dartmouth.edu&rnum=3&filter=0>.
> > Incidentally, your comments upon the chess newsgroups were a > >revelation to me. I had assumed that among newsgroups ostensibly > >devoted to academic subjects (I exclude the soc.culture hierarchy and > >groups like alt.conspiracy for obvious reasons), h.l.a.s. had perhaps > >the highest percentage of cranks and lunatics. Other newsgroups might > >enjoy numerical superiority, and there are some very vocal cranks and > >nutcases (in sci.physics, for instance) who might outdo h.l.a.s. in > >sheer volume of lunatic posts, but those cranks are just a few in a > >very large newsgroup, whereas h.l.a.s. boasts a plethora of cranks. > >However, your description of the chess newsgroups makes it appear that > >h.l.a.s. is not so singular after all. > The chess newsgroups have been particularly bad the past few months, with an > influx of trolls. But if you want to see truly vulgar cranks, visit > rec.music.opera.
I read that group a little some years ago, around the time of its inception, and it wasn't so bad then; there was little real content, but there were few if any raving nutcases. If the group now surpasses h.l.a.s. in density of cranks, I'm not tempted to revisit it -- the cranks here are depressing enough.
Grumman <bobgrum...@nut-n-but.net> wrote: > > > Space is space and it can be described by any geometry.
> > No, you do not know what you're talking about -- as usual. Only in > > symplectic geometry, where Darboux's theorem holds, are all the spaces > > locally equivalent to the linear space model with its bilinear form. > > Riemannian geometry is far more rigid. One of Riemann's great theorems > > was his discovery that the Riemann curvature tensor is the obstruction > > to local isometry. The simplest expression of this result is the fact > > that unless a Riemannian manifoid has zero curvature, it cannot even be > > *locally* equivalent geometrically (i.e., locally isometric) to > > Euclidean space, let alone globally equivalent. Since hyperbolic space > > has constant curvature -1, it is not even *locally* equivalent to > > Euclidean space. *No* hyperbolic space can be described by Euclidean > > geometry. > Elizabeth is certainly a crank, but I must thank her for inciting > so much interesting educational material out of you, David. Frankly, > I don't understand it, but I do feel I'm absorbing it, and may even > finally see the light. I suspect my basic attitude toward modern > physics is not far from Elizabeth's--but, unlike her, I absolutely > know that I'm incompetent to judge it. (I also DO understand SOME > of it, as far as I can tell, and all I think I understand goes against > Elizabeth's position.) Final thought, in this preposterously > off-subject thread which I'm grateful for: I'd love to read a > book for laymen on the history of man's conception of space; is > there one?
Do you mean the history of *scientific* conceptions of space? Or do you mean surveys that include the cosmological myths of various religions and cultures? In the latter case, I can't help much. In the former case, here are a few suggestions. Of course, one must draw a distinction between physical space and mathematical space, a distinction that has not always been clear historically.
In fact, perhaps one of the most revolutionary developments arose in the understanding that the "space" of common experience is just one of various possibilities, a realization occasioned by the discovery (by Gauss and others) of so-called "non-Euclidean geometry," by which is usually meant the two-dimensional hyperbolic geometry of Lobachevsky, Bolyai, Poincaré, etc. After devoting an emormous amount of time and effort to an attempt to deduce Euclid's parallel postulate from the other axioms (all of which were viewed as far more intuitive than the parallel postulate), it was realized that there are several possible geometries satisfying the other axioms of Euclidean geometry, exclusive of the parallel postulate. To understand this adequately requires some mathematics beyond the usual synthetic geometry taught in high school, but a book that keeps mathematical prerequisites to a bare minimum is Nikulin and Shafarevich's _Groups and Geometries_. (This book requires only a high school background, but it is nevertheless a serious book on mathematics, so it does require that the reader think.) Another classic is Hilbert and Cohn-Vossen's _Geometry and the Imagination_.
> Possibly one of the books on the history of the ether > would, in effect, be such a book. My basic problem in this area is > that I'm tied to the notion that something must exist that has NO > properties, and can have none. Maybe I'm a slave of dichotomy: I > have to believe in a not-material in opposition to matter/energy.
For an understanding of the notions of spacetime underlying special relativity, some excellent sources are Max Born's book (old, but still a classic), Taylor and Wheeler's _The Geometry of Spacetime_, and French's _Special Relativity_. The latter assumes only a very modest mathematical background, little beyond single-variable calculus.
However, more recent conceptions of space-time must take into account the nature of the quantum vacuum, string theory, etc. It is impossible to do justice to this subject without the mathematics underlying quantum theory, and unlike the case of special relativity (whose underlying kinematic ideas can be conveyed using mostly high school-level algebra), the mathematics needed is not that accessible. However, Brian Greene's _The Elegant Universe_ and Guth's _The Inflationary Universe_ are good popularizations.
> Do you mean the history of *scientific* conceptions of space? > Or do you mean surveys that include the cosmological myths of > various religions and cultures? In the latter case, I can't > help much. In the former case, here are a few suggestions. > Of course, one must draw a distinction between physical space > and mathematical space, a distinction that has not always been > clear historically.
I probably am not sure exactly what I want but it seems to me that it was long taken for granted that space was what things were in-- and my concern is with physical space. Then the ether was introduced--as a kind of near-space? But it was inside space, I think. Then there came mathematical space (which I believe I understand the logic of)--and theories of physical space which seem to me to theorize that physical space made me non-Euclidean in some way. In any case, it is now believed that physical space has curvature, yes? That makes it a different kind of space than the Greeks believed in, I would think.
I would want all attempts to define physical space included.
snip of worthwhile recommendations with accompanying commentary
These books sound interesting but wouldn't be what I'm looking for, I don't think, because I think I follow Non-Euclidean geometry (up to the point that it is used to describe reality). I spent too much time trying to deduce Euclid's parallel postulate from the other Euclidean axioms, myself. I can't say that I understand the proofs that it can't be done, but I do understand that I couldn't do it. I guess it was good inasmuch as it did teach me quite a bit about geometry, and humbled me.
snip
> For an understanding of the notions of spacetime underlying special > relativity, some excellent sources are Max Born's book (old, but still > a classic), Taylor and Wheeler's _The Geometry of Spacetime_, and > French's _Special Relativity_. The latter assumes only a very modest > mathematical background, little beyond single-variable calculus. > However, more recent conceptions of space-time must take into > account the nature of the quantum vacuum, string theory, etc. It is > impossible to do justice to this subject without the mathematics > underlying quantum theory, and unlike the case of special relativity > (whose underlying kinematic ideas can be conveyed using mostly high > school-level algebra), the mathematics needed is not that accessible. > However, Brian Greene's _The Elegant Universe_ and Guth's _The > Inflationary Universe_ are good popularizations.
David Webb
Thanks for the tips, David--again. One of these days, I'll get to one or more of the recommended books . . . assuming Elizabeth hasn't finally shown in words even I can understand why it's all hokum.
[[ This message was both posted and mailed: see the "To," "Cc," and "Newsgroups" headers for details. ]]
In article <1444f5583ba9a1c535e2589145f87691.12...@mygate.mailgate.org>, Bob
Grumman <bobgrum...@nut-n-but.net> wrote: > > Do you mean the history of *scientific* conceptions of space? > > Or do you mean surveys that include the cosmological myths of > > various religions and cultures? In the latter case, I can't > > help much. In the former case, here are a few suggestions. > > Of course, one must draw a distinction between physical space > > and mathematical space, a distinction that has not always been > > clear historically.
> I probably am not sure exactly what I want but it seems to me that > it was long taken for granted that space was what things were in-- > and my concern is with physical space. Then the ether was > introduced--as a kind of near-space?
The ether proved to be a sort of red herring. Prior to Maxwell's electrodynamics, physics was acknowledged to obey Galilean relativity: the laws of physics are the same for any two observers moving with constant velocity relative to one another; in particular, there is no way to establish experimentally which observer was "really" at rest. There were two principles: (1) Newton's second law holds for an inertial observer, and (2) any observer moving with constant velocity relative to an inertial observer is himself inertial. After Maxwell fixed Ampere's Law, however, one of the logical consequences of the equations of electrodynamics was an equation describing propagating waves of a velocity c that could be easily computed in terms of the values of two constants easily measured in the laboratory, the "permittivity of the vacuum" and the "magnetic permeability of the vacuum." The velocity c that emerged from this computation was the observed velocity of light, and the conclusion was inescapable that light was the wave phenomenon predicted by Maxwell's equations. Thus Maxwell's equations singled out a *particular* velocity, so Galilean relativity is destroyed and there is now a privileged "rest frame": the absolute rest frame is the one in which light has the velocity c. To determine whether he is moving, an observer need only measure the velocity of light -- if it is c, he is at rest; if not, he is in motion. The ether was suggested as a kind of medium for the propagation of electromagnetic waves predicted by Maxwell's equations, and the frame of reference of the ether was the obsolute rest frame. The ether was not logically necessary as a medium for wave propagation (after all, physicists had long accepted gravitational ineraction over long distances with no intervening substance to mediate the interaction -- but the fact that there seemed to be an absolute rest frame made the model of the ether as a sort of gelatin, fixed at rest in space time and transmitting electromagnetic disturbances rather as a solid transmits shock waves, was a very appealing idea. However, the Michelson-Morley experiment and its many variants dispensed conclusively with the notion that light's velocity depends upon the motion of the observer, and with it the ether.
> But it was inside space, I > think. Then there came mathematical space (which I believe I > understand the logic of)
Some of these abstract mathematical spaces describe very real physical phenomena, although they do not model the "space" of normal experience. For example, the phase space of a mechanical system is an abstract mathematical space whose geometry is very far from Euclidean, yet it is very useful.
> --and theories of physical space which > seem to me to theorize that physical space made me non-Euclidean > in some way. In any case, it is now believed that physical space > has curvature, yes?
Mass-energy imparts curvature to spacetime locally, near a massive object, by the Einstein field equation.
> That makes it a different kind of space than > the Greeks believed in, I would think.
Yes.
> I would want all attempts to define physical space included.
> snip of worthwhile recommendations with accompanying commentary
> These books sound interesting but wouldn't be what I'm looking for, > I don't think, because I think I follow Non-Euclidean geometry (up > to the point that it is used to describe reality). I spent too much > time trying to deduce Euclid's parallel postulate from the other > Euclidean axioms, myself. I can't say that I understand the proofs > that it can't be done,
The simplest proof is that one can construct geometric systems (e.g., the Poincaré upper half-plane) which satisfy all of Euclid's axioms *except* the parallel postulate. Therefore the parallel postulate cannot be a logical consequence of the other axioms.
> but I do understand that I couldn't do it. I > guess it was good inasmuch as it did teach me quite a bit about > geometry, and humbled me.
> snip
> > For an understanding of the notions of spacetime underlying special > > relativity, some excellent sources are Max Born's book (old, but still > > a classic), Taylor and Wheeler's _The Geometry of Spacetime_, and > > French's _Special Relativity_. The latter assumes only a very modest > > mathematical background, little beyond single-variable calculus.
> > However, more recent conceptions of space-time must take into > > account the nature of the quantum vacuum, string theory, etc. It is > > impossible to do justice to this subject without the mathematics > > underlying quantum theory, and unlike the case of special relativity > > (whose underlying kinematic ideas can be conveyed using mostly high > > school-level algebra), the mathematics needed is not that accessible. > > However, Brian Greene's _The Elegant Universe_ and Guth's _The > > Inflationary Universe_ are good popularizations.
> David Webb > Thanks for the tips, David--again. One of these days, I'll get to one > or more of the recommended books . . . assuming Elizabeth hasn't > finally shown in words even I can understand why it's all hokum.
"David L. Webb" wrote: > Incidentally, your comments upon the chess newsgroups were a > revelation to me. I had assumed that among newsgroups ostensibly > devoted to academic subjects (I exclude the soc.culture hierarchy and > groups like alt.conspiracy for obvious reasons), h.l.a.s. had perhaps > the highest percentage of cranks and lunatics. Other newsgroups might > enjoy numerical superiority, and there are some very vocal cranks and > nutcases (in sci.physics, for instance) who might outdo h.l.a.s. in > sheer volume of lunatic posts, but those cranks are just a few in a > very large newsgroup, whereas h.l.a.s. boasts a plethora of cranks. > However, your description of the chess newsgroups makes it appear that > h.l.a.s. is not so singular after all.
You should see what goes on in the computer-programming groups, particularly from the sociopaths who see Bill Gates as a technical genius (trust me, he ain't) and some kind of culture hero. Important technical subjects often have a specific *.*.*.advocacy group to bleed off the worst of it.
"David L. Webb" wrote: > I read [rec.music.opera] a little some years ago, around the time of its > inception, and it wasn't so bad then; there was little real content, > but there were few if any raving nutcases. If the group now surpasses > h.l.a.s. in density of cranks, I'm not tempted to revisit it -- the > cranks here are depressing enough.
I'm a part-time semi-pro opera singer, so I know that world. Cranks come with the territory, among both the fans and the artists. (I was involved for a while with the pitch-reform movement -- the quite justified reaction against the upward drift from A=432 to A=440 to A=444, A=450, A=454, A=460... -- but it got co-opted by Lyndon "The international drug trade is run by the House of Windsor" LaRouche, of all people.)
Bob Grumman wrote: > These books sound interesting but wouldn't be what I'm looking for, > I don't think, because I think I follow Non-Euclidean geometry (up > to the point that it is used to describe reality). I spent too much > time trying to deduce Euclid's parallel postulate from the other > Euclidean axioms, myself. I can't say that I understand the proofs > that it can't be done, but I do understand that I couldn't do it. I > guess it was good inasmuch as it did teach me quite a bit about > geometry, and humbled me.
I don't know that it ever has been _proven_ impossible. But non-Euclidean geometry has been around for a long, long time, and has not yet been shown to be self-contradictory, which is a pretty darn good indicator. If A and B and not-C don't contradict, then A and B shouldn't imply C.
As to the application to the physical world -- it's not certain that General Relativity is absolutely right, but experiment clearly shows that it's mostly right. Either space is curved, whether we like the idea or not, or the universe is playing us a really dirty trick.
> I don't know that it ever has been _proven_ impossible. But > non-Euclidean geometry has been around for a long, long time, and has > not yet been shown to be self-contradictory, which is a pretty darn good > indicator. If A and B and not-C don't contradict, then A and B > shouldn't imply C. > As to the application to the physical world -- it's not certain that > General Relativity is absolutely right, but experiment clearly shows > that it's mostly right. Either space is curved, whether we like the > idea or not, or the universe is playing us a really dirty trick.
Or, to come in from near-total ignorance, there's a way to describe what seems to be the curvature of space without giving materiality to the immaterial. I've never understood why we have to say space is curved rather than say gravity bends light (although I know there's a lot more to curvature of space than that). In believing the latter, I assume that light is a particle (I know about the experiments that suggest otherwise) and that gravity is, in effect, particulate. One of my theories is that matter completely fills space except during the instants between quantum-position changes, and that gravity is the effect of any surface of a unit of matter on another. Each matter-unit expands until all of its surface touches other matter and/or it becomes some maximal size. Its gravitational effect is inversely proportionate to its size.
There's a lot more to it, but I'm just describing enough to show that I can outdo any anti-Stratfordian when it comes to crankery.
The ether proved to be a sort of red herring. Prior to Maxwell's electrodynamics, physics was acknowledged to obey Galilean relativity: the laws of physics are the same for any two observers moving with constant velocity relative to one another; in particular, there is no way to establish experimentally which observer was "really" at rest. There were two principles: (1) Newton's second law holds for an inertial observer, and (2) any observer moving with constant velocity relative to an inertial observer is himself inertial. After Maxwell fixed Ampere's Law, however, one of the logical consequences of the equations of electrodynamics was an equation describing propagating waves of a velocity c that could be easily computed in terms of the values of two constants easily measured in the laboratory, the "permittivity of the vacuum" and the "magnetic permeability of the vacuum." The velocity c that emerged from this computation was the observed velocity of light, and the conclusion was inescapable that light was the wave phenomenon predicted by Maxwell's equations. Thus Maxwell's equations singled out a *particular* velocity, so Galilean relativity is destroyed and there is now a privileged "rest frame": the absolute rest frame is the one in which light has the velocity c. To determine whether he is moving, an observer need only measure the velocity of light -- if it is c, he is at rest; if not, he is in motion. The ether was suggested as a kind of medium for the propagation of electromagnetic waves predicted by Maxwell's equations, and the frame of reference of the ether was the obsolute rest frame. The ether was not logically necessary as a medium for wave propagation (after all, physicists had long accepted gravitational interaction over long distances with no intervening substance to mediate the interaction
I wonder about that. My impression is that universal gravity took a while to get really thought about. Don't some physicists still have problems with gravitational action-at-a-distance? Isn't that why someare searching for particles of gravity? Or some kind of gravity ray?
-- but the fact that there seemed to be an absolute rest frame made the model of the ether as a sort of gelatin, fixed at rest in space time and transmitting electromagnetic disturbances rather as a solid transmits shock waves, was a very appealing idea. However, the Michelson-Morley experiment and its many variants dispensed conclusively with the notion that light's velocity depends upon the motion of the observer, and with it the ether.
I thought M-M just showed that light traveled at the same speed against the "ether-wind" as it did with it, which demonstrated there was no ether wind, as there had to be. Although I don't know why there had to be an ether-wind.
> > But it was inside space, I > > think. Then there came mathematical space (which I believe I > > understand the logic of) > Some of these abstract mathematical spaces describe very real > physical phenomena, although they do not model the "space" of normal > experience. For example, the phase space of a mechanical system is an > abstract mathematical space whose geometry is very far from Euclidean, > yet it is very useful. > > --and theories of physical space which > > seem to me to theorize that physical space made me (must be? > > I'm not sure what I intended here!) non-Euclidean > > in some way. In any case, it is now believed that physical space > > has curvature, yes? > Mass-energy imparts curvature to spacetime locally, near a massive > object, by the Einstein field equation. > > That makes it a different kind of space than > > the Greeks believed in, I would think. > Yes. > > I would want all attempts to define physical space included.
snip
> The simplest proof is that one can construct geometric systems > (e.g., the Poincaré upper half-plane) which satisfy all of Euclid's > axioms *except* the parallel postulate. Therefore the parallel > postulate cannot be a logical consequence of the other axioms.
Yes, I now remember reading about that or something like it that made sense to me at the time.
Thanks for the continuing responses, David. I'm finding them very interesting, and it I think they're building a nest of some sort in my brain. When I'm finally made chief-over-supremus of the Masons, I'll definitely make you my number-two science advisor. (I have to make Art number-one to shut him up.)
Bob Grumman wrote: > Thanks for the continuing responses, David. I'm finding them > very interesting, and it I think they're building a nest of > some sort in my brain.
---------------------------------------------------------------- The European CUCKOO ({CUCUlus canorus}) builds no nest of its own, but lays its eggs in the nests of other birds.
Middle English CUCCU, Date: 13th century
a grayish brown European bird (CUCUlus canorus) that is a parasite given to laying its EGGs in the nests of other birds which hatch them and rear the offspring; broadly : any of a large family (CUCUlidae of the order CUCUliformes) to which this bird belongs ---------------------------------------------------------------- ABCDEF DRAZIW L(CU)LIW EREVIV EVIL ZYXWVU WIZARD O(XF)ORD VIVERE VERO ----------------------------------------------------------------
Bob Grumman wrote: > When I'm finally made chief-over-supremus of the Masons, > I'll definitely make you my number-two science advisor. > (I have to make Art number-one to shut him up.)
---------------------------------------------------------------- [g]OO-D LL-W ------------------------------------------------------------------- [A]nd says a WIZARD told him that by G [H]is issue disinherited should be; [A]nd, for my name of GEORGE begins with G, It follows in his thought that I am he. ---------------------------------------------------------------- "Going to dark bed there was a square round Sinbad the Sailor roc's AUK'S egg in the night of the bed of all the auks of the rocs of Darkinbad the Brightdayler." - Joyce, _Ulysses_ (p. 737) ------------------------------------------------------------------- <<As my explanations here are probably above your understand- ings, lattlebrattons, though as augmentatively uncomparisoned as Cadwan, Cadwallon and Cadwalloner, I shall revert to a more expletive method which I frequently use when I have to sermo with muddlecrass pupils. Imagine for my purpose that you are a squad of urchins, snifflynosed, goslingnecked, clothyheaded, tangled in your lacings, tingled in your pants, etsitaraw etcicero. . .>> - FW by Joyce ---------------------------------------------------------------- ZYXWVU WIZARD O(XF)ORD VIVERE VERO ABCDEF DRAZIW L(CU)LIW EREVIV EVIL ---------------------------------------------------------------- QUICK, a. [As. cwic, CUCU, cwicu, cwucu, LIVING; L. vivus LIVING, VIVERE to LIVE]
1. Alive; living; animate;
"Not fully QUYKE, ne fully dead they were." --Chaucer.
Shakspeare with whome QUICK nature DYED,
<<Shake-speare, with the English Man of War, lesser in bulk, but lighter in sailing, could turn with all tides, tack about, and take advantage of all winds, by the QUICKness of his Wit and Invention.>> - THOMAS FULLER
"who shall judge the QUICK and the dead" --2 Tim. iv. 1.
"Man is no STAR, but a QUICK COAL Of mortal fire." -- Herbert. ---------------------------------------------------------------------- CUCKOO (Heb. SHAHAPH), from a root meaning "to be lean; slender." This bird is mentioned only in Lev. 11:16 and Deut. 14:15 (R.V., "seamew"). Some have interpreted the Hebrew word by "petrel" or "shearwater" (Puffinus cinereus), which is found on the coast of Syria; others think it denotes the "sea-gull" or "seamew." The common CUCKOO (CUCUlus canorus) feeds on reptiles and large insects. It is found in Asia and Africa as well as in Europe. It only passes the winter in Palestine. The Arabs suppose it to utter the cry _Yakub_, and hence they call it _tir el-Yakub_; i.e., "Jacob's bird." -------------------------------------------------------------------- April 14 FIRST COOKOO Day: The first day of full SPRINGtime. -------------------------------------------------------------------- Love's Labour's Lost Act 5, Scene 2
ADRIANO DE ARMADO This side is Hiems, Winter, this VER, the SPRING; the one maintained by the owl, the other by the CUCKOO. VER, begin.
[THE SONG] SPRING. When daisies pied and VIOLETS blue And lady-smocks all silVER-white And CUCKOO-buds of yellow hue Do paint the meadows with delight, The CUCKOO then, on eVERy tree, Mocks married men; for thus sings he, CUCKOO; CUCKOO, CUCKOO: O word of fear, Unpleasing to a married ear! ---------------------------------------------------------------- Circe (Nighttown) from James Joyce's Ulysses
THE HONOURABLE MRS MERVYN TALBOYS (Unbuttoning her gauntlet violently.) I'll do no such thing. PIG dog and always was EVER since he was PUPPED! To dare address me! I'll flog him black and blue in the public streets. I'll dig my spurs in him up to the rowel. He is a wellknown CUCKOLD. (She swishes her hunting crop savagely in the air.) Take down his trousers without loss of time. Come here, sir! QUICK! Ready?
BLOOM (Trembling, beginning to obey.) The weather has been so warm.
(Davy Stephens, ringleted, passes with a bevy of barefoot newsboys.)
DAVY STEPHENS Messenger of the Sacred Heart and Evening Telegraph with Saint Patrick's Day Supplement. Containing the new addresses of all the CUCKOLDS in Dublin.
(The very reVEREnd Canon O'Hanlon in cloth of gold cope elevates and exposes a marble timepiece. Before him Father Conroy and the reVEREnd John Hughes S.J. bend low.)
THE TIMEPIECE (Unportalling.)
CUCKOO CUCKOO CUCKOO
(The brass quoits of a bed are heard to jingle.) ----------------------------------------------------------------------- He is, Stephen said. The boy of act one is the mature man of act five. All in all. In Cymbeline, in Othello he is bawd and CUCKOLD. He acts and is acted on. Lover of an ideal or a perversion, like Jose he kills the real Carmen. His unremitting intellect is the hornmad Iago ceaselessly willing that the moor in him shall suffer.
Man delights him not nor woman neither, Stephen said. He returns after a life of absence to that spot of earth where he was born, where he has always been, man and boy, a silent witness and there, his journey of life ended, he plants his mulberry tree in the earth. Then dies. The motion is ended. Gravediggers bury Hamlet pre and Hamlet fils. A king and a prince at last in death, with incidental music. And, what though murdered and betrayed, bewept by all frail tender hearts for, Dane or Dubliner, sorrow for the dead is the only husband from whom they refuse to be divorced. If you like the epilogue look long on it: prosperous Prospero, the good man rewarded, Lizzie, grandpa's lump of love, and nuncle Richie, the bad man taken off by poetic justice to the place where the bad niggers go. Strong curtain. He found in the world without as actual what was in his world within as possible. Maeterlinck says: If Socrates leave his house today he will find the sage seated on his doorstep. If Judas go forth tonight it is to Judas his steps will tend. Every life is many days, day after day. We walk through ourselves, meeting robbers, ghosts, giants, old men, young men, wives, widows, brothers-in-love, but always meeting ourselves. The playwright who wrote the folio of this world and wrote it badly (He gave us light first and the sun two days later), the lord of things as they are whom the most Roman of catholics call dio boia, hangman god, is doubtless all in all in all of us, ostler and butcher, and would be bawd and CUCKOLD too but that in the economy of heaven, foretold by Hamlet, there are no more marriages, glorified man, an androgynous angel, being a wife unto himself." ----------------------------------------------------------------- Art Neuendorffer § :¢ þ)¤÷÷÷÷
> Bob Grumman wrote: > > Thanks for the continuing responses, David. I'm finding them > > very interesting, and it I think they're building a nest of > > some sort in my brain.
> The European CUCKOO ({CUCUlus canorus}) builds no nest of its own, > but lays its eggs in the nests of other birds. > Middle English CUCCU, Date: 13th century
ETC.
Thanks for setting us all straight on this, Art. And thanks for the continuing excerpts from Finnegans Wake, which I may try again to read before trying on of the books David recommends.
Bob Grumman wrote in message ... >> Bob Grumman wrote: >> > Thanks for the continuing responses, David. I'm finding them >> > very interesting, and it I think they're building a nest of >> > some sort in my brain.
> --------------------------------------------------------------- >> The European CUCKOO ({CUCUlus canorus}) builds no nest of its own, >> but lays its eggs in the nests of other birds. >> Middle English CUCCU, Date: 13th century >ETC.
>Thanks for setting us all straight on this, Art. And thanks for >the continuing excerpts from Finnegans Wake, which I may try again >to read before trying on of the books David recommends. > --Bob G.
Bob, I find it easier now to deal with Art Nonsense, thanks to my killfile. He's the only member of HLAS sleeping in it at the moment.
> Bob, I find it easier now to deal with Art Nonsense, thanks > to my killfile. He's the only member of HLAS sleeping in > it at the moment.
Aw, Neil--Art's only insane. I rarely read his posts, but I'd never kill-file him. Richard Kennedy is the only one I'd be tempted to, but--well, those of us who are studying mental dysfunction cannot afford to kill-file ANYone.
--Bob G.
P.S., keep an eye on Beautiful Lyra; looks like she's catching up to Art in word-gaming.
Grumman <bobgrum...@nut-n-but.net> wrote: > From David Webb:
> The ether proved to be a sort of red herring. Prior to Maxwell's > electrodynamics, physics was acknowledged to obey Galilean relativity: > the laws of physics are the same for any two observers moving with > constant velocity relative to one another; in particular, there is no > way to establish experimentally which observer was "really" at rest. > There were two principles: (1) Newton's second law holds for an > inertial observer, and (2) any observer moving with constant velocity > relative to an inertial observer is himself inertial. After Maxwell > fixed Ampere's Law, however, one of the logical consequences of the > equations of electrodynamics was an equation describing propagating > waves of a velocity c that could be easily computed in terms of the > values of two constants easily measured in the laboratory, the > "permittivity of the vacuum" and the "magnetic permeability of the > vacuum." The velocity c that emerged from this computation was the > observed velocity of light, and the conclusion was inescapable that > light was the wave phenomenon predicted by Maxwell's equations. Thus > Maxwell's equations singled out a *particular* velocity, so Galilean > relativity is destroyed and there is now a privileged "rest frame": the > absolute rest frame is the one in which light has the velocity c. To > determine whether he is moving, an observer need only measure the > velocity of light -- if it is c, he is at rest; if not, he is in > motion. The ether was suggested as a kind of medium for the > propagation of electromagnetic waves predicted by Maxwell's equations, > and the frame of reference of the ether was the obsolute rest frame. > The ether was not logically necessary as a medium for wave propagation > (after all, physicists had long accepted gravitational interaction over > long distances with no intervening substance to mediate the interaction
> I wonder about that. My impression is that universal gravity took > a while to get really thought about. Don't some physicists still > have problems with gravitational action-at-a-distance? Isn't that > why someare searching for particles of gravity? Or some kind of > gravity ray?
Let me clarify. Physicists had long accepted the idea of action at a distance in Newton's spectacularly successful theory of gravitation, despite the fact that there is only vacuum between the heavenly bodies whose motion is described by Newton's mehanics, i.e., that there is no substance transmitting or mediating the interaction. In other words, physicists recognized the reality of the gravitational field of a massive body: a particle responds instantaneously to the field and moves accordingly (more precisely, the force felt by the particle is just the field vector scaled by the particle's mass; the particle then accelerates in response to this force according to Newton's second law). A change in the field is thus perceived instantly by the particle. Thus nineteenth century physicists should have had no *logical* difficulty with the idea of interactions in the absence of any ambient medium to transmit the interaction, and hence with the idea of disturbances in Maxwell's electromagnetic field propagating through the vacuum.
What probably made the ether hypothesis so attractive after Maxwell's discovery is not the fact that the ether furnished a putative medium through which electromagnetic waves could be transmitted (which would not be strictly necessary), but rather that Maxwell's equations seemed to single out a *universal* rest frame, the one relative to which light traveled with velocity c. Thus it must have been almost irresistible to suggest a model in which the ether was an all-pervasive medium, at rest in this Maxwellian universal rest frame, through which Maxwell's electromagnetic waves propagated in much that same way that shock waves are transmitted through an elastic solid medium.
Einstein alone of all the early contributors to special relativity realized that in order that a coordinate transformation (like the Lorentz transformation) leave the light cone invariant, one must jettison the Galilean notion of a universal time coordinate common to all observers; hence inertial observers in relative motion will disagree about the simultaneity and hence the temporal order of events. Einstein then used this simple but profound insight to derive the Lorentz transformations as natural and inevitable consequences of two universal principles, rather than as rather desperate, _ad hoc_ explanations of vexing experimental results with no real physical meaning, as in Lorentz's interpretation.
Of course, Einstein's new kinematic foundation of all of physics made Newton's theory of gravitation untenable, as special relativity in effect forbade instantaneous transmission of information. In fact, Maxwell's fix to Ampere's Law had already shown the way: physicists already knew that disturbances in the electromagnetic field were *not* felt instantly by charged particles responding to the field; rather, the field disturbances propagated at velocity c. Indeed, physicists had introduced the idea of "retarded time," "retarded position," "retarded potential," etc., to describe the fact that when a charged test particle responds to the changing electromagnetic field of a moving charged body, the test particle perceives the charged body at its *retarded* position rather than at its actual position (the charged body has moved since it emitted the radiation to which the test particle is responding, because the interaction was trasmitted *not* instantaneously but at speed c; this is analogous to the fact that when you look at a distant N light years distant, you are seeing the galaxy at it was N years ago, not as it is now). Accordingly, Newton's theory had to be modified in such a way that gravitational interaction traveled at finite speed like the electromagnetic interaction. And indeed, general relativity, Einstein's theory of gravitation, does predict the existence of gravitational waves that travel at velocity c; this is the "gravity ray" you have in mind. (Taylor's observation of the slowing of pulsar periods is in remarkable agreement with the prediction of energy lost by gravitational radiation according to general relativity; to my knowledge, it's the best evidence of gravitational radiation thus far.)
Einstein was by no means the only one to realize that such a change was necessary -- it was quite evident that the theory of gravitation would have to be fixed somehow to banish instantaneous transmission, as Poincaré pointed out explicitly. However, it was far from clear how to effect such a repair -- gravity is such an incredibly weak force, and the effects predicted in which the Newtonian theory and general relativity differ are so minute as to be virtually undetectable (the anomalous behavior of the perihelion of Mercury is about the only classically known instance) that formulating and testing such a theory was a daunting task. There were various unsatisfactory _ad hoc_ suggestions (e.g., the paper of Gerber that Weir accuses Einstein of having "plagerized"), but there was no succesful comprehensive theory of gravity until Einstein's general theory of relativity. Einstein's theory is almost purely geometric and has essentially *no* free parameters that one can adjust in order to bring the theory into agreement with experiment, yet it predicts the observed perihelion anomaly. This was really a stunning success. General relativity is on shakier observational grounds than special relativity, since the effects that must be detected are so minute that it is difficult to distinguish general relativity from various competing theories; for pretty up-to-date information about the experimental probes of general relativity, see Clifford Will's book.
Finally, Einstein's general theory of relativity is very classical, in the spirit of Maxwell's equations: it deals with point particles and fields that evolve according to deterministic laws, regardless of the activities of observers; there are no noncommuting observables, uncertainty relations, probabilistic descriptions of the outcomes of measurements, etc. However, around the same time Einstein formulated special relativity, it was being realized that at the small scale, nature doesn't behave that way. General relativity is *not* a quantum theory, so it could not be the ultimate theory of gravity, just as the quantum theory of Schrödinger and Heisenberg, being nonrelativistic, could not be the ultimate theory at the subatomic scale. Considerable success has been attained in formulating quantum theories compatible with special relativity (e.g., quantum electrodynamics, which made the most astonishingly accurate predictions of any physical theory to date), but the quest for a quantum theory of gravity is ongoing. When (if?) such a theory is eventually formulated and tested experimentally, it will undoubtedly feature a boson, already named the graviton, that mediates the gravitational interaction (as the photon mediates electromagnetic interactions); these are the "particles of gravity" I think you have in mind. According to Witten, a variant of string theory now called M-theory shows considerable promise.
> -- but the fact that there seemed to be an absolute rest frame made the > model of the ether as a sort of gelatin, fixed at rest in space time > and transmitting electromagnetic disturbances rather as a solid > transmits shock waves, was a very appealing idea. However, the > Michelson-Morley experiment and its many variants dispensed > conclusively with the notion that light's velocity depends
> > Thanks for the continuing responses, David. I'm finding them > > very interesting, and it I think they're building a nest of > > some sort in my brain. When I'm finally made chief-over-supremus > > of the Masons, I'll definitely make you my number-two science > > advisor. (I have to make Art number-one to shut him up.) > If you aspire to be helsman of our grand conspiracy, you'll have to > change your name to John. But I doubt that even that expedient would > silence Art!
David Webb
I really think your explanations are sinking in, David. In any event, you've given me good stuff to mull. Thanks! As for my first name, I thought you knew it WAS John. Surely you don't think my real name is "Bob Grumman" or variations thereon!
> > Thanks for the continuing responses, David. I'm finding them > > very interesting, and it I think they're building a nest of > > some sort in my brain. When I'm finally made chief-over-supremus > > of the Masons, I'll definitely make you my number-two science > > advisor. (I have to make Art number-one to shut him up.) > If you aspire to be helsman of our grand conspiracy, you'll have to > change your name to John. But I doubt that even that expedient would > silence Art!
David Webb
I really think your explanations are sinking in, David. In any event, you've given me good stuff to mull. Thanks! As for my first name, I thought you knew it WAS John. Surely you don't think my real name is "Bob Grumman" or some variation thereon!
On Tue, 7 May 2002 21:40:45 +0000 (UTC), "Bob Grumman"
<bobgrum...@nut-n-but.net> wrote: >What's going on? I just used Google to try to find what I said while >arguing with Baker about the Heywood preface to his Apology to Actors >and couldn't find anything, so I did a search for what Baker said >about Heywood. Nothing. Then I did a search for Baker's messages: >I found 26,000, including recent ones--but NONE to HLAS! It would seem >that the moron removed all his messages to HLAS! What a scholar. I've >written some pretty embarrassing posts to HLAS but I've never withdrawn >one (except once or twice immediately to fix a typo or something).
> --Bob G.
Hi Bob,
Sorry, but I didn't remove any of these messages. Google still lists my Web page as number one when you type in Marlowe and Shakespeare or Shakespeare and Marlowe...Peter's is just behind me as number two.
I am off the net for a few more weeks, having just posted a blast for today, but I will be back.
I have all my messages, so I can post them again if you'd like.....
"The ultimate truth is penultimately always a falsehood. He who will be proved right in the end appears to be wrong and harmful before it." _Darkness at Noon_, Arthur Koestler
"The ultimate truth is penultimately always a falsehood. He who will be proved right in the end appears to be wrong and harmful before it." _Darkness at Noon_, Arthur Koestler
Bob Grumman wrote: > Or, to come in from near-total ignorance, there's a way to describe > what seems to be the curvature of space without giving materiality to > the immaterial. I've never understood why we have to say space is > curved rather than say gravity bends light (although I know there's > a lot more to curvature of space than that).
It's been a while, but if I remember correctly, assuming that gravity bends particulate light in a Newtonian way predicts a different value. Einstein's curved-space equations give the right result. They also, by the way, explain _why_ Galileo's legendary two-falling-weight experiment works; Newton had to assume that gravity is, for no known reason, exactly proportional to inertia; Einstein assumes that they're two aspects of the same phenomenon, which is neater.
As to the fine structure of light, now you're getting into Quantum Theory, which has yet to be reconciled with General Relativity. Loosely speaking, General Relativity works right with objects down to about the size of atoms, Quantum Theory works right with subatomic particles, and neither works quite right when extended to the other's domain.
But all you need is a pair of Polaroid sunglasses to demonstrate that a simple particulate theory of light doesn't work. And there are other problems:
If light were made of particles, then either the speed of light in (e.g.) glass would be faster than the speed of light in a vacuum (which we know isn't true) or lenses would bend light in the opposite direction than they do.
We can _make_ radio waves, and we know that it's waves that we're making. But we also know that radio waves are just another form of light.
Bob Grumman wrote: > I thought M-M just showed that light traveled at the same speed > against the "ether-wind" as it did with it, which demonstrated > there was no ether wind, as there had to be. Although I don't know > why there had to be an ether-wind.
Either the Earth is the unmoving center of the universe or there's an ether-wind. Or else there's no ether.
Of course, by now, other experiments, having nothing to do with either the motion of the Earth or ether, have demonstrated the truth of Special Relativity. Most obviously, the GPS system requires Special Relativity compensators to give the correct results.