Let's talk about geometrized units

[elegysix]

Is there a reason geometrized units convert everything to length?
Why not time or something else?
This seems odd to me.

 

[Simon Bridge]

There's only three dimensions available for units: length, time, and mass.
You have to pick one so why not length?

It's usually more convenient to convert lengths to time for discussions and time to length for maths.
It would be a bit funny to convert everything to mass (energy) but I suppose you could.

 

[Dale]

Is there a reason geometrized units convert everything to length?
Why not time or something else?
This seems odd to me.

The reason to choose length is in the name: geometrized. The idea comes from relativity, which in its mathematically cleanest form interprets all of the famous relativistic effects as features of the geometry of spacetime. In this geometry it makes sense to use units of length for time. Then, it is merely a matter of carrying that geometric idea through to all the other units.

In the end it is just an arbitrary convention and they could have just as well called it "temporalized" or something else and used time or some other base unit.