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Article #5565

Re: LEE SMOLIN AGAINST ISAAC NEWTON

#5565
From: Rock Brentwood
Date: Sun, 10 Feb 2008 10:25
25 lines
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On Feb 6, 10:48 am, "Androcles" <Headmas...@Hogwarts.physics> wrote:
> | Classical Newtonian mechanics predicts that light will bend with
> | twice the angle observed.
>
> How?

Good question. Actually, I think it's 1/2 the angle, not twice. To
come up with refined tests for Newtonian vs. Relativistic gravity;
it's common for people to embody the former in the framework of Newton-
Cartan geometry. This minimizes the differences between the classical
and relativistic theory (a necessity if you want to do experimental
tests), down to their minimal core differences. Newton-Cartan gravity
is a curved spacetime theory compatible with Newtonian physics and the
Galilean symmetry group that presides over Newtonian physics.

If you go with straight classical theory, treating Newtonian gravity
as a field on top of a flat spacetime, then I think Smolin is right --
no bending of light.

On the other hand, if you use the classical version of the Equivalence
Principle, then that would imply light undergoes the same acceleration
near a gravitating body as does everything else. Then, in effect,
you're back to the curved spacetime form of Newtonian gravity -- that
is, the same results follows ... a bending in Newtonian gravity at 1/2
the angle predicted by General Relativity.
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From: Rock Brentwood <markwh04@yahoo.com>
Newsgroups: sci.physics.relativity, sci.physics, fr.sci.physique, 
 fr.sci.maths, fr.sci.philo
Subject: Re: LEE SMOLIN AGAINST ISAAC NEWTON
Date: Sun, 10 Feb 2008 02:25:55 -0800 (PST)
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