= Mass-radius scaling of confinement energy
{title2=$K\propto(mR^2)^{-1}$}
If <mass> m, confinement radius R and <Planck constant> h are the only dimensional inputs to a nonrelativistic <kinetic energy>, matching <mass>, length and time dimensions gives $K=Ch^2/(mR^2)$. The dimensionless coefficient C depends on the <boundary condition> and state. Ratios of energies therefore scale as inverse <mass> and inverse radius squared only when that dimensionless physics is unchanged. This separates a robust scaling law from a claim about an unspecified confinement spectrum.
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