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| Tags: constant, exactly, fine, running, structure |
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#1
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The fine structure constant alpha is said to be running with energy as (from various QED textbooks) 1/alpha(E) = 1/alpha - (1/3 pi) ln (E^2/m^2) where m is the electron mass, ln the natural logarithm, and alpha without index is 1/137.036. But many papers mention that at 90 Gev, alpha is around 1/128. This is in contradiction with the above formula, which would give a value of around 133 at 90 GeV. Is the discrepancy due to the fact that the formula misses the hadronic corrections? As a result, what value is expected for alpha at 10^19GeV? Where can one look this up? Frank |
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#2
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On Jun 27, 4:32�am, wrote:
The fine structure constant alpha is said to be running with energy as (from various QED textbooks) 1/alpha(E) = 1/alpha - (1/3 pi) ln (E^2/m^2) where m is the electron mass, ln the natural logarithm, and alpha without index is 1/137.036. But many papers mention that at 90 Gev, alpha is around 1/128. This is in contradiction with the above formula, which would give a value of around 133 at 90 GeV. Is the discrepancy due to the fact that the formula misses the hadronic corrections? As a result, what value is expected for alpha at 10^19GeV? Where can one look this up? Frank Frank, the fine structure constant is, by definition, the dimensionless ratio between the electron's electrical potential energy and rest mass energy. It is unlikely that alpha could "run" with energy because it is set by the geometry of the electron. There is another famous dimensionless constant "PI" that is also an irrational number (goes on forevver without end) that shows these constants are based on geometric ratios. I think you are on the right path in looking for some correction to the measurement methods. The running of their measurement has to be an artifact of their measurement methods. See; http://members.aol.com/tnlockyer/CHARGESPIN.pdf Hope the link works, Regards, Tom |
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#3
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On Sat, 28 Jun 2008 08:52:40 -0700 (PDT), "
wrote: On Jun 27, 4:32?am, wrote: The fine structure constant alpha is said to be running with energy as (from various QED textbooks) snip Frank, the fine structure constant is, by definition, the dimensionless ratio between the electron's electrical potential energy and rest mass energy. It is unlikely that alpha could "run" with energy because it is set by the geometry of the electron. It might be instructive if you stated the two quantities whose ratio is alpha. I have alpha = e^2/2hceps0 but can't see your ratio there. There is another famous dimensionless constant "PI" that is also an irrational number (goes on forevver without end) that shows these constants are based on geometric ratios. I think you are on the right path in looking for some correction to the measurement methods. The running of their measurement has to be an artifact of their measurement methods. See; http://members.aol.com/tnlockyer/CHARGESPIN.pdf Hope the link works, Regards, Tom |
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#4
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On Jun 28, 6:50�pm, John C. Polasek wrote:
On Sat, 28 Jun 2008 08:52:40 -0700 (PDT), " wrote: On Jun 27, 4:32?am, wrote: The fine structure constant alpha is said to be running with energy as (from various QED textbooks) snip Frank, the fine structure constant is, by definition, the dimensionless ratio between the electron's electrical potential energy and rest mass energy. � It is unlikely that alpha could "run" with energy because it is set by the geometry of �the electron. Frank says; It might be instructive if you stated the two quantities whose ratio is alpha. I have alpha = e^2/2hceps0 but can't see your ratio there. Your equation is in obselete cgs units, Frank. The International MetricSystem (SI) is the modern language of science, and I find it more intuitive. See the following link I gave you, Figure 4, left panel bottom calculation. The fine structure constant can be derived from a number of different math equations but all are traceable to the geometry, as demonstrated by the derivation shown. Alpha= (Flux x 2 x e)/ h snip I think you are on the right path in looking for some correction to the measurement methods. �The running of their measurement has to be an artifact of their measurement methods. See; � �http://members.aol.com/tnlockyer/CHARGESPIN.pdf Hope the link works, Regards, Tom- - P.S. See; www.amazon.com 096315463X for more information. |
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#5
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On Sun, 29 Jun 2008 10:18:28 -0700 (PDT), "
wrote: On Jun 28, 6:50?pm, John C. Polasek wrote: On Sat, 28 Jun 2008 08:52:40 -0700 (PDT), " wrote: On Jun 27, 4:32?am, wrote: The fine structure constant alpha is said to be running with energy as (from various QED textbooks) snip Frank, the fine structure constant is, by definition, the dimensionless ratio between the electron's electrical potential energy and rest mass energy. ? It is unlikely that alpha could "run" with energy because it is set by the geometry of ?the electron. Frank says; It might be instructive if you stated the two quantities whose ratio is alpha. I have alpha = e^2/2hceps0 but can't see your ratio there. Your equation is in obselete cgs units, Frank. The International MetricSystem (SI) is the modern language of science, and I find it more intuitive. See the following link I gave you, Figure 4, left panel bottom calculation. The fine structure constant can be derived from a number of different math equations but all are traceable to the geometry, as demonstrated by the derivation shown. Alpha= (Flux x 2 x e)/ h snip I think you are on the right path in looking for some correction to the measurement methods. ?The running of their measurement has to be an artifact of their measurement methods. See; ? ?http://members.aol.com/tnlockyer/CHARGESPIN.pdf Hope the link works, Regards, Tom- - P.S. See; www.amazon.com 096315463X for more information. The link doesnt work. John Polasek |
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#6
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On Jun 29, 8:21�pm, John C. Polasek wrote:
On Sun, 29 Jun 2008 10:18:28 -0700 (PDT), " wrote: On Jun 28, 6:50?pm, John C. Polasek wrote: On Sat, 28 Jun 2008 08:52:40 -0700 (PDT), " wrote: On Jun 27, 4:32?am, wrote: The fine structure constant alpha is said to be running with energy as (from various QED textbooks) snip Frank, the fine structure constant is, by definition, the dimensionless ratio between the electron's electrical potential energy and rest mass energy. ? It is unlikely that alpha could "run" with energy because it is set by the geometry of ?the electron. Frank says; It might be instructive if you stated the two quantities whose ratio is alpha. I have alpha = e^2/2hceps0 but can't see your ratio there. Your equation is in obselete cgs units, Frank. The International MetricSystem (SI) is the modern language of science, and I find it more intuitive. See the following link I gave you, Figure 4, left panel bottom calculation. The fine structure constant can be derived from a number of different math equations but all are traceable to the geometry, as demonstrated by the derivation shown. Alpha= (Flux x 2 x e)/ h snip I think you are on the right path in looking for some correction to the measurement methods. ?The running of their measurement has to be an artifact of their measurement methods. See; ? ?http://members.aol.com/tnlockyer/CHARGESPIN.pdf Hope the link works, Regards, Tom- �- P.S. �See; �www.amazon.com� � 096315463X � for more information. The link doesnt work. John Polasek- Hide quoted text - - Show quoted text - John, The link requires you type 096315463X in the top search block on the Amazon opening page, that should bring up the book page. Regards: Tom |
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#7
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On Mon, 30 Jun 2008 09:47:23 -0700 (PDT), "
wrote: http://members.aol.com/tnlockyer/CHARGESPIN.pdf Nope: did not recognize the link |
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#8
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On Jun 27, 7:32 am, wrote:
The fine structure constant alpha is said to be running with energy as (from various QED textbooks) 1/alpha(E) = 1/alpha - (1/3 pi) ln (E^2/m^2) where m is the electron mass, ln the natural logarithm, and alpha without index is 1/137.036. But many papers mention that at 90 Gev, alpha is around 1/128. This is in contradiction with the above formula, which would give a value of around 133 at 90 GeV. Is the discrepancy due to the fact that the formula misses the hadronic corrections? As a result, what value is expected for alpha at 10^19GeV? Where can one look this up? http://physics.nist.gov/cuu/Constants/alpha.html Sue... Frank |
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#9
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On Jun 30, 4:50�pm, John C. Polasek wrote:
On Mon, 30 Jun 2008 09:47:23 -0700 (PDT), " wrote: http://members.aol.com/tnlockyer/CHARGESPIN.pdf Nope: did not recognize the link John, cannot ubderstand why. The link works for me. Do you have a pdf reader? Try also; http://www.members.aol.com/tnlockyer/CHARGESPIN.pdf Regards; Tom. |
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#10
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On Mon, 30 Jun 2008 17:52:41 -0700 (PDT), "
wrote: http://www.members.aol.com/tnlockyer/CHARGESPIN.pdf Tom, this is my result, copy/pasted: Your search - http://www.members.aol.com/tnlockyer/CHARGESPIN.pdf - did not match any documents. Suggestions: * Make sure all words are spelled correctly. * Try different keywords. * Try more general keywords. John Polasek |
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