Re: fine structure constant and gravity
From: Alejandro (arivero_at_posta.unizar.es)
Date: 11/18/04
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Date: Thu, 18 Nov 2004 18:52:48 +0000 (UTC)
alistair@goforit64.fsnet.co.uk (alistair) wrote in message news:<861c1b21.0411081550.47b8533@posting.google.com>...
> As a virtual photon approaches an electron,it will be blueshifted by
> the gravity of the electron.This blue shift will become infinite in
> magnitude if gravity gets stronger and stronger, the closer the
> virtual photon gets to the electron.So the probability that an
> electron will absorb photons of infinite energy must be zero.Is there
> a link between gravity and the fine structure constant,alpha, in
> quantum field theory, that reflects this?
It could be a link coming from the infrared catastrophe. When calculating
self energy, we have a term
[tex] (\alpha/3\pi) (q^2/m_e^2) (\ln(m_e/ \lambda_{min}) -3/8 )[/tex]
There, \lambda_min is the infrared cutoff, a fictituious photon mass
that is driven to zero. What you are telling is that the consistency
of this calculation must be weigth against gravitational blueshift. I can
not see how. But if it could, there is an infamous approximation for
alpha, namely alpha= - 3/8 ln(m_e/m_plank), that perhaps could be obtained
by retorting the above formulae with your arguments.
Yours,
Alejandro
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