|Date: Mon, 14 Apr 2003
Ah, but the fundamental units one chooses and uses, IS an option. Totally an option. One part of physics already uses a physics model with only a single fundamental unit.
Just check out the second and third editions of Jackson's Classical Electrodynamics. He does discuss this sort of thing, and he does rather strongly point it out, for the benefit of electrodynamicists who tend to be too welded to one system of units and one model of physics.
When you make a physics model (perfectly permissible) using just the joule as the only fundamental unit, then indeed time does become totally a function of energy. No different from mass being totally a function of energy. And anything else.