- #1
Helios
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I have found the relativistic mechanical index of refraction which I think is
n = [tex]\sqrt{[( E - V + mc^{2})^{2}- (mc^{2})^{2}]/[( E + mc^{2})^{2}- (mc^{2})^{2}][/tex]
Follow the same procedure as this thread
https://www.physicsforums.com/showthread.php?t=176081&highlight=optico-mechanical
You will have to know that
mv[tex]^{2}[/tex]/[tex]\sqrt{1 - ( v/c )^{2}}[/tex] = [( E - V + mc[tex]^{2}[/tex] )[tex]^{2}[/tex] - (mc[tex]^{2}[/tex])[tex]^{2}[/tex] ]/( E - V + mc[tex]^{2}[/tex] )
Also the relativistic centripetal force is
mv[tex]^{2}[/tex]/R[tex]\sqrt{1 - ( v/c )^{2}}[/tex]
.
n = [tex]\sqrt{[( E - V + mc^{2})^{2}- (mc^{2})^{2}]/[( E + mc^{2})^{2}- (mc^{2})^{2}][/tex]
Follow the same procedure as this thread
https://www.physicsforums.com/showthread.php?t=176081&highlight=optico-mechanical
You will have to know that
mv[tex]^{2}[/tex]/[tex]\sqrt{1 - ( v/c )^{2}}[/tex] = [( E - V + mc[tex]^{2}[/tex] )[tex]^{2}[/tex] - (mc[tex]^{2}[/tex])[tex]^{2}[/tex] ]/( E - V + mc[tex]^{2}[/tex] )
Also the relativistic centripetal force is
mv[tex]^{2}[/tex]/R[tex]\sqrt{1 - ( v/c )^{2}}[/tex]
.