I need some public opinion

Posted Aug19-12 at 01:59 AM by Strongart (Young mathematician Strongart in China)

Hi, I am Strongart, I am a young mathematician in China. I think everyone should tell the truth, if only a few people can discover the truth, they have more moral obligations to do this. But most of Chinese keep silent, some of them are lying, so I need some public opinion from other countries, maybe you can treat me as a world citizen.

As you seen, I make some lectures to teach commutative algebra、functional analysis and other topics and write a lot of maths notes discussing...
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The Mysterious Box, Part 1

Posted Aug17-12 at 10:06 AM by ZapperZ
Updated Aug18-12 at 06:44 AM by ZapperZ

You like to take walks and often explore new paths. During one of these walks, you either decide to try a new path, or you accidentally stumble upon a path you did not notice before. So you take it.

As you walk along this path, as you turn around a corner, you suddenly see this "thing" on the side of the road. It is an unexpected sight, and certainly something you haven't seen before in all of the walks that you had taken. So out of curiosity, you decide to take a closer look....
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Why EM wave equation does not conform to relativity?

Posted Aug15-12 at 04:57 PM by pengkuan (Anomalies in Electromagnetism)

Why EM wave equation does not conform to relativity?
1 August 2012

This question is not about real electromagnetic wave. Physical wave does not violate relativity principle and always travel at constant speed c. It is the electromagnetic wave equation that does not conform to relativity. By computing the speed of the solution of the wave equation, we find that its velocity is faster than that of light and varies with distance and frequency. This result proves...
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Maxwell's Equations for a static, spherically symmetric spacetime

Posted Aug15-12 at 02:35 PM by PeterDonis
Updated Mar17-13 at 03:50 PM by PeterDonis

Following on from my previous post, here is a quick reference for Maxwell's Equations in a static, spherically symmetric spacetime.

The electromagnetic field tensor is given in general by

$$F_{ab} = \partial_b A_a - \partial_a A_b$$

where $A_a$ is the electromagnetic 4-potential.

In covariant form, Maxwell's Equations in general are:

$$\partial_c F_{ab} + \partial_b F_{ca} + \partial_a F_{bc} = 0$$...
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First, we are talking about spacetimes which can be described by the following line element, written in standard Schwarzschild coordinates (i.e., coordinates in which a 2-sphere at radial coordinate $r$ has area $4 \pi r^2$):...