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#31
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[there were some strange characters in the quoted message. I've
replaced them with =, but if that wasn't what was intended, I may have misunderstood the point.] In article , dlzc writes: I think they are discussing only one mass, namely: mass = rest mass = inertial mass = gravitational mass = relativistic mass, The first two would be the same thing in modern parlance. The last three, if used at all, would now be considered synonyms for "energy." In general they are not equal to rest mass. That's physics, not terminology. Taylor & Wheeler used what is now obsolete terminology, but they had the physics right. -- Help keep our newsgroup healthy; please don't feed the trolls. Steve Willner Phone 617-495-7123 Cambridge, MA 02138 USA |
#32
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Dear Steve Willner:
On Tuesday, November 29, 2016 at 1:26:53 PM UTC-7, Steve Willner wrote: [there were some strange characters in the quoted message. I've replaced them with =, but if that wasn't what was intended, I may have misunderstood the point.] That is the case. =/= was intended to mean "not equal to". Sometimes represented as #, or . I think they are discussing only one mass, namely: mass = rest mass = inertial mass = gravitational mass relativistic mass, The first two would be the same thing in modern parlance. .... and the second two Eotvos has shown to be the same as the first two. The last three, if used at all, would now be considered synonyms for "energy." False. In general they are not equal to rest mass. Still false, as Eotvos has shown. That's physics, not terminology. Taylor & Wheeler used what is now obsolete terminology, but they had the physics right. On that last bit we agree. David A. Smith |
#33
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In article ,
dlzc writes: That is the case. =/= was intended to mean "not equal to". I still don't know where you used = and where =/=. That's a problem with using non-ASCII character sets. A quote from Taylor and Wheeler p. 256 may help: The source of our difficulty is some confusion between two quite different concepts: (1) energy, the time component of the momentum-energy 4-vector, and (2) mass, the magnitude of this 4-vector. Nowadays, physicists avoid confusion by using "energy" when they mean (1). Terms used in the past for this concept include "relativistic mass," "inertial mass," "gravitational mass," and most regrettably, sometimes just "mass." (T&W did this, though it's usually clear in context which concept they meant.) Nowadays the term "mass" is reserved for (2), but "rest mass" or "proper mass" can be used if there's any chance of confusion. If you want to discuss physics, please be careful to use unambiguous terminology. In particular, be careful to keep straight the two concepts T&W described. -- Help keep our newsgroup healthy; please don't feed the trolls. Steve Willner Phone 617-495-7123 Cambridge, MA 02138 USA |
#34
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Dear Steve Willner:
On Thursday, December 1, 2016 at 12:01:32 PM UTC-7, Steve Willner wrote: In article , dlzc writes: That is the case. =/= was intended to mean "not equal to". I still don't know where you used = and where =/=. That's a problem with using non-ASCII character sets. Sorry, but I *only* used ASCII character sets. I just presented it in a format you did not expect / decipher. I said these things are exactly the same: mass, rest mass, inertial mass, gravitational mass. (you correct this more clearly below.) I said this was not the same as mass: relativistic mass (which Einstein said not to teach). A quote from Taylor and Wheeler p. 256 may help: The source of our difficulty is some confusion between two quite different concepts: (1) energy, the time component of the momentum- energy 4-vector, and (2) mass, the magnitude of this 4-vector. Nowadays, physicists avoid confusion by using "energy" when they mean (1). Terms used in the past for this concept include "relativistic mass," "inertial mass," "gravitational mass," and most regrettably, sometimes just "mass." (T&W did this, though it's usually clear in context which concept they meant.) Nowadays the term "mass" is reserved for (2), but "rest mass" or "proper mass" can be used if there's any chance of confusion. And is tantamount to a religious argument, with those that find no issue slinging relativistic mass around. Ignoring that it an infinite number for different scalar values, depending on in which axis a tiny bit of momentum might be applied, in relation to its line of motion. If you want to discuss physics, please be careful to use unambiguous terminology. In particular, be careful to keep straight the two concepts T&W described. I find this harder and harder to do. Thanks. David A. Smith |
#35
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In article ,
dlzc writes: I said these things are exactly the same: mass, rest mass, inertial mass, gravitational mass. This thread has shown that terminology can be a problem, so I'm not sure what actual quantity you mean by each of those terms. Let's leave aside "mass," which is surely ambiguous. I think nearly everyone (but possibly not you) takes "rest mass" to refer to the invariant magnitude of the energy-momentum 4-vector. The point of Taylor & Wheeler's discussion on pp 254ff is that gravitational acceleration is related to the time component of the 4-vector. That's what I'd mean by "gravitational mass," though I'd usually use the term "energy." The physical point to be made is that there are two different quantities involved, and "rest mass" (meaning the invariant magnitude of the 4-vector) is not the one directly related to gravity or inertia. -- Help keep our newsgroup healthy; please don't feed the trolls. Steve Willner Phone 617-495-7123 Cambridge, MA 02138 USA |
#36
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Dear Steve Willner:
On Friday, December 2, 2016 at 2:58:23 PM UTC-7, Steve Willner wrote: In article , dlzc writes: I said these things are exactly the same: mass, rest mass, inertial mass, gravitational mass. This thread has shown that terminology can be a problem, so I'm not sure what actual quantity you mean by each of those terms. Let's leave aside "mass," which is surely ambiguous. I think nearly everyone (but possibly not you) takes "rest mass" to refer to the invariant magnitude of the energy-momentum 4-vector. The point of Taylor & Wheeler's discussion on pp 254ff is that gravitational acceleration is related to the time component of the 4-vector. That's what I'd mean by "gravitational mass," though I'd usually use the term "energy." The physical point to be made is that there are two different quantities involved, and "rest mass" (meaning the invariant magnitude of the 4-vector) is not the one directly related to gravity or inertia. OK, so in this thread, we are talking about all the photons currently wending their way outward, centered more-or-less on the center of a spiral galaxy, but inboard of your position in said galaxy. They originated as more lower-mass atoms, being fused into fewer higher-mass atoms plus light sprayed in all directions (on average). So you'd say that the photons represent "energy" or "gravitational mass" until they pass your position (Newton's shells). How does that differ from some tiny amount of "rest mass" or "proper mass" disappearing (magic required of course), and "changes in the gravitational field" propagating outwards past your position at c (classical speed of gravity)? And note one immediate difference is some light is absorbed and scattered by a medium (dust, gas) that is warmer than the CMBR, and located inboard of your position... Again, this is far smaller than the amount of Dark Matter "orbiting a spiral galaxy", and probably could be entirely ignored. David A. Smith |
#37
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In article ,
dlzc writes: OK, so in this thread, we are talking about all the photons currently wending their way outward, centered more-or-less on the center of a spiral galaxy, but inboard of your position in said galaxy. So you'd say that the photons represent "energy" or "gravitational mass" until they pass your position (Newton's shells). They represent energy (and "gravitational mass" if you want to use that term) regardless of their position. The gravitational effect they have depends on position; to the extent the photons form a spherically symmetric distribution, the ones outside "your position" won't have any net effect. How does that differ from some tiny amount of "rest mass" or "proper mass" disappearing (magic required of course), As you pointed out (and I snipped), the photons originated from proper mass "disappearing" by being converted to energy. The effect (again assuming spherical symmetry) is a gradual decrease in centripetal attraction as photons (on balance) fly past one's position. That is, the fact that photons have energy gives them exactly the same gravitational effect as the rest mass they replaced. All that changes is the location; the photons move around faster than does mass. And note one immediate difference is some light is absorbed and scattered by a medium (dust, gas) that is warmer than the CMBR, and located inboard of your position... Energy is still conserved (in a suitable reference frame), and energy translates to gravitational mass. Again, this is far smaller than the amount of Dark Matter "orbiting a spiral galaxy", and probably could be entirely ignored. Oh indeed, the gravitational effect of radiation is utterly trivial in every context I can think of in today's universe. It was important, however, for some seconds after the Big Bang, when the universe was radiation-dominated. -- Help keep our newsgroup healthy; please don't feed the trolls. Steve Willner Phone 617-495-7123 Cambridge, MA 02138 USA |
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