Positive-energy linear diameter growth
= Positive-energy linear diameter growth
{title2=$\liminf_{t\to\infty}R(t)/t\geq\sqrt{E/(2A_1)}$}
For an isolated Newtonian point-mass system, $\ddot I=T+E\geq E>0$. Twice integrating gives a quadratic lower bound on $I$. The <maximum-separation inertia bounds> then give at-least-linear asymptotic growth of the diameter $R$ for a trajectory existing for arbitrarily large times. The bound does not assert instantaneous monotonicity or escape of every particle.