6 problems

Generality conjecture. The constructed solution is the general solution at low energies.

Non-integrability conjecture. There are no other integer solutions of the displayed relation with $\lambda_i\in {\mathscr J}_+\cup {\mathscr J}_-$ for $i=1,\ldots,k$ beyond the one…

Integrability conjecture. It seems premature to conjecture that only systems with radial potentials and potentials depending on one variable are integrable.

Asymptotic restoration conjecture. The validity of the no-interaction theorem could be restored by introducing a suitable asymptotic approximation for the $N$-body system dynamics.

Constrained-dynamics conjecture. The limitations imposed by the Currie no-interaction theorem might be avoided by formulating the dynamics with constrained dynamics in a super-abun…

Let a steady-state sequence be a one-parameter family of spherically symmetric static solutions of the Einstein–Vlasov system, and let the fractional binding energy of a steady sta…