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Running of the fine structure constant - how exactly?



 
 
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  #1  
Old June 27th 08 posted to sci.physics,sci.physics.particle,sci.physics.electromag
frank_k_sheldon@yahoo.co.uk
external usenet poster
 
Posts: 77
Default Running of the fine structure constant - how exactly?


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
Ads
  #2  
Old June 28th 08 posted to sci.physics,sci.physics.particle,sci.physics.electromag
tnlockyer@aol.com
external usenet poster
 
Posts: 256
Default Running of the fine structure constant - how exactly?

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
  #3  
Old June 29th 08 posted to sci.physics,sci.physics.particle,sci.physics.electromag
John C. Polasek
external usenet poster
 
Posts: 2,224
Default Running of the fine structure constant - how exactly?

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

  #4  
Old June 29th 08 posted to sci.physics,sci.physics.particle,sci.physics.electromag
tnlockyer@aol.com
external usenet poster
 
Posts: 256
Default Running of the fine structure constant - how exactly?

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.
  #5  
Old June 30th 08 posted to sci.physics,sci.physics.particle,sci.physics.electromag
John C. Polasek
external usenet poster
 
Posts: 2,224
Default Running of the fine structure constant - how exactly?

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
  #6  
Old June 30th 08 posted to sci.physics,sci.physics.particle,sci.physics.electromag
tnlockyer@aol.com
external usenet poster
 
Posts: 256
Default Running of the fine structure constant - how exactly?

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
  #7  
Old July 1st 08 posted to sci.physics,sci.physics.particle,sci.physics.electromag
John C. Polasek
external usenet poster
 
Posts: 2,224
Default Running of the fine structure constant - how exactly?

On Mon, 30 Jun 2008 09:47:23 -0700 (PDT), "
wrote:

http://members.aol.com/tnlockyer/CHARGESPIN.pdf

Nope: did not recognize the link
  #8  
Old July 1st 08 posted to sci.physics,sci.physics.particle,sci.physics.electromag
Sue...
external usenet poster
 
Posts: 9,425
Default Running of the fine structure constant - how exactly?

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


  #9  
Old July 1st 08 posted to sci.physics,sci.physics.particle,sci.physics.electromag
tnlockyer@aol.com
external usenet poster
 
Posts: 256
Default Running of the fine structure constant - how exactly?

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.
  #10  
Old July 1st 08 posted to sci.physics.electromag
John C. Polasek
external usenet poster
 
Posts: 2,224
Default Running of the fine structure constant - how exactly?

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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