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| Tags: mc2, meaning |
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#41
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#43
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#44
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PD wrote:
wrote: What if these fields have mass. There have been experiments ( Nieto and Goldhaber ) that determine the mass upper limit of electric and magnetic fields. So these fields have mass and are pliable. Then we can think of them as waves -- waves that have mass. OK, so you don't know what "mass upper limit" means. Hint: It does NOT mean the fields have mass. VERGON I suggest you study physics before you get on this NG and show what a moron you are. If you will look up the experiments of Nieto & Goldhaber (Scientific American, May 1974) the article named "MASS OF THE PHOTON" appears. In it they describe their search for the mass of the photon and discuss it in terms of its upper limit. They also describe that they accomplish this by determining the mass of the coulomb field. "Energy" is mass in motion. Every formula for energy contains two -- and only two -- elements, mass and motion. This is true for E = h nu because one of the absolute dimensions of h is mass. The others are distance and time. The unit is one of action. No such thing as an absolute dimension, as far as I know. Where are you getting gthat from? VERGON From text books and encyclopedias. Here's one: Planck's constant has units of energy multiplied by time, which are the units of action (J·s). These units may also be written as momentum times distance (N·m·s), which are also the units of angular momentum. However, often the unit of choice is eV·s, because of the small energies that are often encountered in quantum physics. The value of Planck's constant is: The value of Dirac's constant (also known as the reduced Planck's constant, and referred to as "h-bar" when you are unable to use the symbol) is: Momentum, of course, is mass in motion also. No mass, no momentum. Conversely, if momentum, then mass. That is also incorrect. VERGON Any jerk can say "incorrect" but an intelligent person would say why. So your comment, like you, is worthless. Now we can regard the frequency, nu, of a photon as containing n electromagnetic fields (Each EM field being 1 HZ). "n" is the frequency NUMBER of nu. And why is a *physical* quantum based on an *arbitrary* length of time (1 second)? Why on earth would nature regard 1 Hz as being a natural unit? VERGON And why is the speed of light "based on an 'arbitrary' length of time (one second)?" Why on earth would nature regard the electron as part of an atom? Idiot. And why is the number 1 the natural unit of a series of whole numbers? And why is a brick the natural unit of a brick wall? And why are you a natural unit of the population of stupids? :-) Why would a fundamental charge unit stubbornly refuse to be 1 coulomb, why would the Planck length stubbornly refuse to be 1 meter, but the smallest fundamental frequency meekly succumb to being a friendly 1 Hz? PD VERGON And why do you refuse to show any modicom of intelligence? |
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#45
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Igor wrote: wrote: physicsajay wrote: You don't know what upper limit means do you? VERGON I can tell you this, I have never liked the term. If I didn't understand something, I probably wouldn't like it either VERGON Touche But here is one definition (of many): The limsup can be defined in a dual fashion. The supremum of a sequence of sets is the smallest set containing all the sets, i.e., the countable union of the sets. Wrong! VERGON Maybe, but that is a quote from the encyclopedia. The upper bound is literally the largest possible value allowed based on conditions. In this case, on observation. VERGON To me that makes sense. If it is the LARGEST possible value, then any correct value has to be smaller. The values Nieto & Goldhaber kept revising were getting smaller and smaller. My translation for the mass of the photon is, the upper limit (supremum) is the smallest number of a set. To my way of thinking that means the smallest mass detected. So the upperlimit is the smallest mass determined. Well, your way of thinking is horribly wrong. VERGON Yes, I can see why I had trouble with the description, although I could tell what Nieto & Goldhaber were after ('cause they described it so well). Thanks for making it clear. An upper bound doesn't imply existence at all. It's merely the largest value possible, given that the quantity exists, which may or may not be true. In my mind. the smallest mass should be the lower limit. But I don't have a weird mathematical mind. If you can definitely set a lower limit together with an upper limit, then you have essentially pinned down existence. For a photon, we have no way to establish a lower limit for mass, so it must be the lowest possible value allowed, which is zero. VERGON Sorry but your conclusion does not follow from your premise. Nieto & Goldhaber were establishing a lowest posible value. At no time did they suggest it was zero. |
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#46
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Randy Poe wrote: PD wrote: wrote: You don't know what upper limit means do you? VERGON I can tell you this, I have never liked the term.But here is one definition (of many): Thanks for confirming that you don't know what an upper limit means. The definition below has nothing whatsoever to do with the experimental upper limit. Nothing. Zero. Nada. Zilch. The limsup can be defined in a dual fashion. The supremum of a sequence of sets is the smallest set containing all the sets, i.e., the countable union of the sets. My translation for the mass of the photon is, the upper limit (supremum) is the smallest number of a set. No. Vergon's "translation" is not even correct for the mathematical concept of limsup which he has garbled. First of all, he should have looked at supremum for A SET, not a SEQUENCE OF SETS. Second of all, there is no way that the supremum of a set is the smallest number of a set. By definition, it is = every member of the set. - Randy VERGON I thank you for your comment. I will admit I have to bone up on set theory. However my shortfall did not prevent me from understanding what Nieto & Goldhaber were after (fortunately). |
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#48
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PD wrote: wrote: wrote: physicsajay wrote: Einstein speculated E =mc2 from L =mc2 in Sep. 1905 : Ajay Sharma VERGON THE WAY I SEE IT: ON THE MEANING OF E = MC^2 Vertner Vergon Email: We have electrostatic fields -- and static magnetic fields. What if the two pair up in a symbiotic relationship -- like people, the farmer takes a wife. We could call this pair an electromagnetic field. My, my, how unusual. Now what if you shake electrons and they send these EM fields out to travel on their own through space. We could call that "electromagnetic radiation" (Oh, this is so novel, I can't believe it.) What if these fields have mass. There have been experiments ( Nieto and Goldhaber ) that determine the mass upper limit of electric and magnetic fields. So these fields have mass and are pliable. Then we can think of them as waves -- waves that have mass. You don't know what upper limit means do you? VERGON I can tell you this, I have never liked the term.But here is one definition (of many): Thanks for confirming that you don't know what an upper limit means. The definition below has nothing whatsoever to do with the experimental upper limit. Nothing. Zero. Nada. Zilch. The limsup can be defined in a dual fashion. The supremum of a sequence of sets is the smallest set containing all the sets, i.e., the countable union of the sets. My translation for the mass of the photon is, the upper limit (supremum) is the smallest number of a set. No. To my way of thinking that means the smallest mass detected. So the upperlimit is the smallest mass determined. No. Not at all. I might suggest a book that would clarify things for you. Statistics for Particle and Nuclear Physicists, by Louis Lyons. VERGON Thanks for the reference. Yes, I do have to bone up on set theory -- especially as it pertains to particle and nuclear physics. You and others have been a great help to me in this area. In my mind. the smallest mass should be the lower limit. But I don't have a weird mathematical mind. I notice, however, that as Nieto & Goldhaber kept refining their results over the years that the mass they obtained became smaller and smaller until it became extremely close to the figure I had obtained theoretically. |
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#49
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wrote: Igor wrote: wrote: physicsajay wrote: You don't know what upper limit means do you? VERGON I can tell you this, I have never liked the term. If I didn't understand something, I probably wouldn't like it either VERGON Touche But here is one definition (of many): The limsup can be defined in a dual fashion. The supremum of a sequence of sets is the smallest set containing all the sets, i.e., the countable union of the sets. Wrong! VERGON Maybe, but that is a quote from the encyclopedia. The upper bound is literally the largest possible value allowed based on conditions. In this case, on observation. VERGON To me that makes sense. If it is the LARGEST possible value, then any correct value has to be smaller. The values Nieto & Goldhaber kept revising were getting smaller and smaller. My translation for the mass of the photon is, the upper limit (supremum) is the smallest number of a set. To my way of thinking that means the smallest mass detected. So the upperlimit is the smallest mass determined. Well, your way of thinking is horribly wrong. VERGON Yes, I can see why I had trouble with the description, although I could tell what Nieto & Goldhaber were after ('cause they described it so well). Thanks for making it clear. An upper bound doesn't imply existence at all. It's merely the largest value possible, given that the quantity exists, which may or may not be true. In my mind. the smallest mass should be the lower limit. But I don't have a weird mathematical mind. If you can definitely set a lower limit together with an upper limit, then you have essentially pinned down existence. For a photon, we have no way to establish a lower limit for mass, so it must be the lowest possible value allowed, which is zero. VERGON Sorry but your conclusion does not follow from your premise. Nieto & Goldhaber were establishing a lowest posible value. At no time did they suggest it was zero. But that's the whole point. We have no way of observationally setting a lower bound. Ever heard of a negative mass? No. So the lower bound has to be zero. And the interval is zero to upper bound, inclusive. This whole issue is pretty silly anyway. Even if it was discovered tomorrow that the photon had an extremely small mass, very little would change. In our everyday world, Maxwell's equations would still work for the most part, and electrostatic fields would still seem to fall off as the square of the distance. The only differences would be noticed at very very small energies, comparable to the rest energy of the photon. |
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#50
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wrote: PD wrote: wrote: wrote: physicsajay wrote: Einstein speculated E =mc2 from L =mc2 in Sep. 1905 : Ajay Sharma VERGON THE WAY I SEE IT: ON THE MEANING OF E = MC^2 Vertner Vergon Email: We have electrostatic fields -- and static magnetic fields. What if the two pair up in a symbiotic relationship -- like people, the farmer takes a wife. We could call this pair an electromagnetic field. My, my, how unusual. Now what if you shake electrons and they send these EM fields out to travel on their own through space. We could call that "electromagnetic radiation" (Oh, this is so novel, I can't believe it.) What if these fields have mass. There have been experiments ( Nieto and Goldhaber ) that determine the mass upper limit of electric and magnetic fields. So these fields have mass and are pliable. Then we can think of them as waves -- waves that have mass. You don't know what upper limit means do you? VERGON I can tell you this, I have never liked the term.But here is one definition (of many): Thanks for confirming that you don't know what an upper limit means. The definition below has nothing whatsoever to do with the experimental upper limit. Nothing. Zero. Nada. Zilch. The limsup can be defined in a dual fashion. The supremum of a sequence of sets is the smallest set containing all the sets, i.e., the countable union of the sets. My translation for the mass of the photon is, the upper limit (supremum) is the smallest number of a set. No. To my way of thinking that means the smallest mass detected. So the upperlimit is the smallest mass determined. No. Not at all. I might suggest a book that would clarify things for you. Statistics for Particle and Nuclear Physicists, by Louis Lyons. VERGON Thanks for the reference. Yes, I do have to bone up on set theory -- especially as it pertains to particle and nuclear physics. You and others have been a great help to me in this area. You'll note in the reading that the experimental upper limit in particle and nuclear physics has nothing to do with set theory. If you constrain your search to a set theory definition, you'll be frustrated and learn little. PD In my mind. the smallest mass should be the lower limit. But I don't have a weird mathematical mind. I notice, however, that as Nieto & Goldhaber kept refining their results over the years that the mass they obtained became smaller and smaller until it became extremely close to the figure I had obtained theoretically. |
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