I have been doing independent work on Planck Particles, the general idea's can be found here(adsbygoogle = window.adsbygoogle || []).push({});

http://www.physicsgre.com/viewtopic.php?f=11&t=4765&p=42139#p42139

Now, I decided to begin with the relativistic (but not manifestly relativistic equation)

[tex]\frac{dP}{dt} = e(B \times v)[/tex]

multiplying through by [tex]dt[/tex] gives

[tex]dP = e(B \times vdt)[/tex]

I will take [tex]vdt = ds[/tex] which will be a displacement.

The relativistic momentum [tex]Pc[/tex] can be written in another form, I believe that form is

[tex]GM^2 \vec{\sigma} \cdot \nabla_{\chi} = e(B \times ds)[/tex]

Dividing through by [tex]GM^2[/tex] gives

[tex]\vec{\sigma} \cdot \nabla_{\chi} = \frac{(B \times ds)}{\sqrt{G}M}[/tex]

Does anything seem wrong with this result, I keep looking at it but something just seems a bit off about it... Was hoping for some suggestions or any mistakes that could be pointed out by someone.

Thanks!

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# A question - needing a second opinion on an equation

Can you offer guidance or do you also need help?

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