The Gravitational Coupling Contant (Visualising Gravity)



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Topic: Science > Physics
User: "Golden Boar"
Date: 30 Apr 2006 04:47:24 AM
Object: The Gravitational Coupling Contant (Visualising Gravity)
The gravitational coupling constant, a_G, can be defined as:
a_G = G.m_e^2 / hbar.c
where
G is the gravitational constant
m_e is the mass of the electron
hbar is Planck's constant over 2pi
c is the speed of light
but there is a much better way of defining it, as follows:
a_G = (2.pi.l_P / lambda_Ce)^2
l_P is the Planck length
lambda_Ce is the electron Compton wavelength
This can be visualized as a circle of circumference 2.pi.l_P acting
upon the Compton wavelength in the xy plane, and a circle of
circumference 2.pi.l_P acting upon the Compton wavelength in the xz (or
yz) plane.
.

User: "Golden Boar"

Title: Re: The Gravitational Coupling Contant (Visualising Gravity) 30 Apr 2006 05:41:27 AM
I've just done a google search on angular wavenumber, and noticed the
following phrase in an article about the CMB (I think):
"The shift in the angular wavenumber l1 at the peak is noteworthy
because l1 is used to infer the space curvature."
Here is a link to the article,
http://www.journals.uchicago.edu/cgi-bin/resolve?id=doi:10.1086/312831
I wonder if there is a link between this angular wavenumber l1 and the
Compton angular wavenumber?
.

User: "Golden Boar"

Title: Re: The Gravitational Coupling Contant (Visualising Gravity) 30 Apr 2006 05:26:12 AM
The gravitational coupling constant, a_G, can also be expressed as:
a_G = l_P^2.k_C^2
where,
l_P is the Planck length
k_C is Compton angular wavenumber
.


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