In a 1-dimensional universe, there'd be no natural units

If you're unfamiliar with the concept, the idea of natural units is that you can create a "natural" system of units, determined by physical constants, by declaring that certain dimensioned physical constants should be equal to 1. E.g., when doing relativity, one often sets c=1, causing length and time to have the same dimensions; the idea is that by extending this convention to other physical…