Deriving Multiplication Factor for Geometrized Units: Help Needed!

[ofeyrpf]

Geometrized units use the multiplication factor to convert for example mass to length, in this case the factor would is G/C^2. I know this is to do with setting c=G=1. How does one derive the multiplication factor from this?

Any help greatly appreciated.

Shane

 

[Ich]

You have
c = 1 = 3e8 m/s, therefore 1 s = 3e8 m
G = 1 = 6.67e-11 m³/(kg*s²) = 6.67e-11/(3e8)² m/kg, therefore 1 kg = 6.67e-11/(3e8)² m

 

[ofeyrpf]

Thank you Ich. I now see where G/c^2 comes from.

Similarily would you be able to show me where \sqrt(G/(4\pi\epsilon_0))^{1/2}/c^2 come from for converting Coulombs to length? I presume it has soemthing to do with the equation for either electric field or electric force as both these contain 4\pi\epsilon_0.

Thanks for your help so far.

 

[robphy]

Have you seen
http://en.wikipedia.org/wiki/Geometrized_unit_system ?

 

[ofeyrpf]

Yes I have checked out wiki. Thank you. But there they only gave the multiplication factors but not where they came from. But I know where the factor for converting from Coulumbs to length comes from now. Thanks