QCD/QFT Conference

Apparently, the community of physics is a very nice place to be. I hope I can be one of those people one day and enjoy physics to the full extent.

The question below suggests that how "comfortable" or energetically favorable or mathematically symmetrical is measured by forces proportional 1/r^2. This is because this world is seemingly R^{3}.(Think about the fact that inside of spherical shell, there is no gravitational force.)
Therefore, if we live in a world with n dimension, the analogy suggests that the most natural force is proportional to 1/r^{n-1}.

Now, consider time-space. If it's 4 dimensional, would it not be natural to have 1/r^{3} where the metric is defined in a natural way? (for example, r = \sqrt{x^2 + y^2 + z^2 + (ct)^2} or r= \sqrt{(ct)^2 - {x^2 + y^2 + z^2 } })