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#41
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![]() "George Dishman" wrote in message ... "ralph sansbury" wrote in message ... "George Dishman" wrote in message ... No particle increases its mass, charged or otherwise. Only their energy changes. This is double talk. If by mass you mean the gravitational interaction then the mass increases. How about a little test. What is the mass of an electron moving at 0.9999c? I say it is 9.1095*10^-31 kg. What do you say? I say the mass is greater (1-.9998)^-1/2 about times 9.1095*10^-31 kg. You say the product of this times .9999c is what is greater which implies that the mass as observed in mass spectrometers Kaufmann's experiemtn is greater. Of course you can play semantic games but they are only sematic games unless you can say where the increased momentum resides. I say it resides inside the charged particle and that the mass does not increase as the spectrometer says but that the magnetic interaction in Kaufmann's experiment becomes noticeably non linear as v approaches c. If you want to change the definition so that this change is attributed to an increase in energy to make it more compatible with the concept of the photon etc, The energy a particle possesses due to motion has been known as "kinetic energy" for a very long time, I just stick to that. As for mass, again from the FAQ: "Technically, it is the invariant length of the particle's four-momentum." You should look at Kaufmann's experiment FAQ |
#42
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![]() "ralph sansbury" wrote in message ... "George Dishman" wrote in message ... How about a little test. What is the mass of an electron moving at 0.9999c? I say it is 9.1095*10^-31 kg. What do you say? I say the mass is greater (1-.9998)^-1/2 about times 9.1095*10^-31 kg. OK, that's M_r = 6.442*10^-29kg. Now suppose the particle is moving due east. (Bear with me please, the point I am trying to illustrate becomes apparent soon ![]() Apply a force of 6.442*10^-29N in an northerly direction to this particle. What is the acceleration? Apply a force of 6.442*10^-29N in an easterly direction to this particle. What is the acceleration? You say the product of this times .9999c is what is greater which implies that the mass as observed in mass spectrometers Kaufmann's experiemtn is greater. Current physics says the mass is m = 9.1095*10^-31 kg and the kinetic energy is KE = 5.7075*10^-12 J Note that your M_r = m + KE/c^2 Of course you can play semantic games but they are only sematic games unless you can say where the increased momentum resides. I say it resides inside the charged particle and that the mass does not increase as the spectrometer says but that the magnetic interaction in Kaufmann's experiment becomes noticeably non linear as v approaches c. I don't follow, you just said the mass does change above. I agree the momentum is not linearly related to speed, the same is also true for the kinetic energy. You should look at Kaufmann's experiment FAQ I tried "Kaufmann FAQ" in Google and got a baseball library and a "rotten tomato forum". Can you give me the URL for this document? George |
#43
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Ralph Sansbury replied to Craig Markwardt:
But there are no physically massless particles because it is impossible to measure zero mass. Therefore you can only DEFINE the photon as massless... There is no independent rationale for this. There are no physically giraffeless particles because it is impossible to measure zero giraffes. Therefore you can only DEFINE the photon as giraffeless. There is no independent rationale for this. Measurements show that photons have less than 0.1 nanogiraffe, but it wouldn't make sense to say that photons therefore have no giraffes at all. -- Jeff, in Minneapolis .. |
#44
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Ralph Sansbury replied to Craig Markwardt:
But there are no physically massless particles because it is impossible to measure zero mass. Therefore you can only DEFINE the photon as massless... There is no independent rationale for this. There are no physically giraffeless particles because it is impossible to measure zero giraffes. Therefore you can only DEFINE the photon as giraffeless. There is no independent rationale for this. Replace "giraffe" with anything you want. -- Jeff, in Minneapolis .. |
#45
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Jeff Root wrote about giraffeless photons...
Oops! I didn't mean to post both versions! Heh. -- Jeff, in Minneapolis .. |
#46
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![]() "George Dishman" wrote in message ... "ralph sansbury" wrote in message ... I say the mass is greater (1-.9998)^-1/2 about times 9.1095*10^-31 kg. OK, that's M_r = 6.442*10^-29kg. Now suppose the particle is moving due east. (Bear with me please, the point I am trying to illustrate becomes apparent soon ![]() Sorry no Address the point directly. momentum for particles with zero mass can be defined to be E/c or hv/c while particles with mass have momentum mv where m is measureable. Yes or no? Current physics says the mass is m = 9.1095*10^-31 kg and the kinetic energy is KE = 5.7075*10^-12 J Note that your M_r = m + KE/c^2 Of course you can play semantic games but they are only sematic games unless you can say where the increased momentum resides. I say it resides inside the charged particle and that the mass does not increase as the spectrometer says but that the magnetic interaction in Kaufmann's experiment becomes noticeably non linear as v approaches c. I don't follow, you just said the mass does change above. Yes it appears not to curve as much away from the gravitational force pulling it down as one would expect from the increased magnetic interaction. I agree the momentum is not linearly related to speed, the same is also true for the kinetic energy. The reason for this is not because momentum is not mv but because the linear magnetic interaction becomes non linear near c. You should look at Kaufmann's experiment FAQ I tried "Kaufmann FAQ" in Google and got a baseball library and a "rotten tomato forum". Can you give me the URL for this document? Google on Kaufmann mass increase George |
#47
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![]() "ralph sansbury" wrote in message ... "George Dishman" wrote in message ... "ralph sansbury" wrote in message ... I say the mass is greater (1-.9998)^-1/2 about times 9.1095*10^-31 kg. OK, that's M_r = 6.442*10^-29kg. Now suppose the particle is moving due east. (Bear with me please, the point I am trying to illustrate becomes apparent soon ![]() Sorry no Address the point directly. My questions do address it directly. I think they will also provide an answer to your comments on Kaufmann. I've answered all your questions for many months so it's your turn now: OK, that's M_r = 6.442*10^-29kg. Now suppose the particle is moving due east. (Bear with me please, the point I am trying to illustrate becomes apparent soon ![]() Apply a force of 6.442*10^-29N in an northerly direction to this particle. What is the acceleration? Apply a force of 6.442*10^-29N in an easterly direction to this particle. What is the acceleration? You say the product of this times .9999c is what is greater which implies that the mass as observed in mass spectrometers Kaufmann's experiemtn is greater. The only Kaufmann experiment I've found that relates is from 1901. Is that the one you are reffering to? momentum for particles with zero mass can be defined to be E/c or hv/c while particles with mass have momentum mv where m is measureable. Yes or no? No. Answer the questions above and I will be able to make that clearer. Current physics says the mass is m = 9.1095*10^-31 kg and the kinetic energy is KE = 5.7075*10^-12 J Note that your M_r = m + KE/c^2 Of course you can play semantic games but they are only sematic games unless you can say where the increased momentum resides. I say it resides inside the charged particle and that the mass does not increase as the spectrometer says but that the magnetic interaction in Kaufmann's experiment becomes noticeably non linear as v approaches c. I don't follow, you just said the mass does change above. Yes it appears not to curve as much away from the gravitational force pulling it down as one would expect from the increased magnetic interaction. Indeed. If that's what you meant, my questions will go a long way to clarifying the issue. I agree the momentum is not linearly related to speed, the same is also true for the kinetic energy. The reason for this is not because momentum is not mv but because the linear magnetic interaction becomes non linear near c. You should look at Kaufmann's experiment FAQ I tried "Kaufmann FAQ" in Google and got a baseball library and a "rotten tomato forum". Can you give me the URL for this document? Google on Kaufmann mass increase I found a couple of pages just giving the usual relativistic mass increase derivation and referring the experiments on high-speed electrons done in 1901. I haven't found a FAQ though. If you know where it is, why can't you just say? George |
#48
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![]() "ralph sansbury" writes: "Craig Markwardt" wrote in message news ![]() [ ... ] The "relativistic mass" is an analogy or crutch for understanding relativity. It begins by asking the question: *if* we can express the momentum by the classical equation p = mv, then what is the mass m which makes that equation work under relativity. For massive particles, the answer is of course m = m0 / sqrt(1-(v/c)^2). For massless particles, the premise of the statement is false (we can't express momentum as p = mv), therefore any conclusions are irrelevant. But there are no physically massless particles because it is i mpossible to measure zero mass. Therefore you can only DEFINE the photon as massless.m_p=0, and define its momentum as hf/c but not (m_p)c. There is no independent rationale for this. Your logic is flawed. What is or isn't measureable has no bearing on whether photons are massless. The "rationale" for the theory is irrelevant, if the theory works. Once these definitions are in place you show the conservation of momentum of course but my question is can you extrapolate from this as you do with ordinary particles. That is,if you have an isolated photon emitter, will the conservation of momentum work to predict a recoil of the emitter. Of course. It is how atom trapping works. In all of the experiments etc where this occurs and can be described with the above definitions and the conservation of momentum, the emitter and reflector/scatterer are near one another and a quantitative explanation of the phenomena is possible also in terms of the magnetic force between oscillating electrons in the source and the receiver see Feynman Lectures etc on light pressure. Your distinction is irrelevant. Momentum conservation and light pressure are different ways to say the same thing. Momentum (density) conservation also exists for classical optical light waves. CM |
#49
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![]() "Craig Markwardt" wrote in message news ![]() "ralph sansbury" writes: .. In any case all of these possible properties for the photon no matter which ones you accept make the photon unlike other particles for which the conservation of momentum has been shown to be applicable. The "relativistic mass" is an analogy or crutch for understanding relativity. It begins by asking the question: *if* we can express the momentum by the classical equation p = mv, then what is the mass m which makes that equation work under relativity. For massive particles, the answer is of course m = m0 / sqrt(1-(v/c)^2). For massless particles, the premise of the statement is false (we can't express momentum as p = mv), therefore any conclusions are irrelevant. The "analogy" line of reasoning begs the question. Relativity is not classical physics, and so p = mv is not a requirement. Under relativity, it is understood that mass is always the rest mass (=invariant mass), and the relativistic momentum is redefined to be p = sqrt((E/c)^2 - (m0 c)^2), which is m0 v / sqrt(1-(v/c)^2) for massive particles, but E/c for massless particles. But this obviously implies a value for mass for non zero mass particles of m0/sqrt(1-(v/c)). It is not complicated George. This says that momentum in this case can be written as p=mv as well as p=sqrt((E/c)^2)-(m0 c)^2. Thus you can say that the energy E increases or that the mass increases. The equations say that both formulations are mathematically possible. Granted your formulation is more general in taking into account the constructed photon particle with zero defined mass as well as the non zero mass of particles with the usual properties. But that does not mean that other formulations are not accurate also. Furthermore the trajectory of masses in mass spectrometers as in Kaufmann's original experiment shows that the either the mass of the charged particles increases or the magnetic interaction becomes non linear as the speed of the particles increase starting at about .1c. That is it requires a greater magnetic field to push the rapidly moving charged particle upward against the force of gravity than a slower moving charged particle. The conservation of momentum is not helpful here. And in the case of the Compton effect and light pressure it is not helpful either since it obscures the physical mechanism which is the magnetic interaction between oscillating charges When one says that the relativistic mass increases with speed, one really means,..... Both meanings are real and since a photon is not a real particle, the meaning that grew out of the definition of a photon is most questionable. Ralph |
#50
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![]() "ralph sansbury" writes: "Craig Markwardt" wrote in message news ![]() "ralph sansbury" writes: . In any case all of these possible properties for the photon no matter which ones you accept make the photon unlike other particles for which the conservation of momentum has been shown to be applicable. The "relativistic mass" is an analogy or crutch for understanding relativity. It begins by asking the question: *if* we can express the momentum by the classical equation p = mv, then what is the mass m which makes that equation work under relativity. For massive particles, the answer is of course m = m0 / sqrt(1-(v/c)^2). For massless particles, the premise of the statement is false (we can't express momentum as p = mv), therefore any conclusions are irrelevant. The "analogy" line of reasoning begs the question. Relativity is not classical physics, and so p = mv is not a requirement. Under relativity, it is understood that mass is always the rest mass (=invariant mass), and the relativistic momentum is redefined to be p = sqrt((E/c)^2 - (m0 c)^2), which is m0 v / sqrt(1-(v/c)^2) for massive particles, but E/c for massless particles. But this obviously implies a value for mass for non zero mass particles of m0/sqrt(1-(v/c)). It is not complicated George. This says that momentum in this case can be written as p=mv as well as p=sqrt((E/c)^2)-(m0 c)^2. Thus you can say that the energy E increases or that the mass increases. The equations say that both formulations are mathematically possible. First, I am not George. Second. There is nothing innately correct about p = mv. Under relativity, there is definitionally a different expression for momentum than classical mechanics. Granted your formulation is more general in taking into account the constructed photon particle with zero defined mass as well as the non zero mass of particles with the usual properties. But that does not mean that other formulations are not accurate also. There are probably an infinite number of alternatives to relativity. The job of science is to rule out as many of those alternatives as possible. Relativity defines certain behaviors and expressions for massive and massless particles, which to date have been borne out by observations and experiment. Furthermore the trajectory of masses in mass spectrometers as in Kaufmann's original experiment shows that the either the mass of the charged particles increases or the magnetic interaction becomes non linear as the speed of the particles increase starting at about .1c. In the early days of relativity research, it was just as easy to say the relativistic mass changed at different velocities. However, the theory has advanced. Now it is understood that certain quantities are invariant under Lorentz transformations: charge, rest mass, and four-momentum. Note I said four-momentum, which is the combination of energy and momentum. Alone, neither is invariant, but combined into a four-vector, they are. Under these interpretation, it is not the mass which changes non-linearly with velocity, but the momentum. I invite you to research this further yourself. That is it requires a greater magnetic field to push the rapidly moving charged particle upward against the force of gravity than a slower moving charged particle. First, you appear to be disregarding the electric part of the electromagnetic field. Second, when interpretted as a packet of oscillating electric and magnetic fields, a photon can naturally fill the role you describe. The conservation of momentum is not helpful here. And in the case of the Compton effect and light pressure it is not helpful either since it obscures the physical mechanism which is the magnetic interaction between oscillating charges Irrelevant. Magnetic fields embody a pressure (B^2/(8*pi)). Pressure in turn carries a momentum density. Conservation of momentum is always a consideration. CM |
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