# How are One-Dimensional Numbers Useful (Coupling Constants)

Gold Member
How would it make any sense to use dimensionless numbers to represent physical things?

From wikipedia:
The coupling constant arises naturally in a quantum field theory. A special role is played in relativistic quantum theories by coupling constants which are dimensionless, i.e., are pure numbers.
If you are comparing the strength of forces, and you are using these numbers to do so, I would have thought that these numbers would represent units of - well, force.

Clearly I must be missing something.

Thanks.