If two ultrarelativistic nonrotating black holes of masses \(m_1\) and \(m_2\) approach each other with fixed center-of-momentum (COM) total energy \(E = \sqrt{s} \gg (m_1+m_2)c^2\) that has a corresponding Schwarzschild radius \(R = 2GE/c^4\) much larger than the Schwarzschild radii of the individual black holes, here it is conjectured that at the critical impact parameter \(b_c\) between scattering and coalescing into a single black hole, there will be an inspiral of many orbital rotations for \(m_1c^2/E \ll 1\) and \(m_2c^2/E \ll 1\) before a final black hole forms, during which all of the initial kinetic energy will be radiated away in gravitational waves by the time the individual black holes coalesce and settle down to a stationary state. In the massless limit \(m_1 = m_2 = 0\), in which the black holes are replaced by classical massless point particles, it is conjectured that for the critical impact parameter, all of the total energy will be radiated away by the time the two particle worldlines merge and end. One might also conjecture that in the limit of starting with the massless particles having infinite energy in the infinite past with the correct ratio of impact parameter to energy, the spacetime for retarded time before the final worldline merger at zero energy will have a homothetic vector field and hence be self similar. Evidence against these conjectures is also discussed, and if it proves correct, I conjecture that two massless particles can form any number of black holes.

如果质量为\(m_1\)和\(m_2\)的两个超相对论非旋转黑洞以固定动量中心 (COM) 总能量\(E = \sqrt{s} \gg (m_1+m_2)相互接近c^2\)对应的史瓦西半径\(R = 2GE/c^4\)远大于单个黑洞的史瓦西半径，这里推测在临界撞击参数\(b_c\)之间散射并合并成一个黑洞，在最终黑洞形成之前，会出现\(m_1c^2/E \ll 1\)和\(m_2c^2/E \ll 1\)多次轨道旋转的吸气，在此期间，当各个黑洞合并并稳定到静止状态时，所有初始动能都将以引力波的形式辐射出去。在无质量极限\(m_1 = m_2 = 0\)下，黑洞被经典无质量点粒子取代，推测对于临界撞击参数，到碰撞发生时，所有总能量将被辐射走。两条粒子世界线合并并结束。人们也可能推测，在无限过去具有无限能量的无质量粒子以正确的撞击参数与能量比率开始的极限下，在零能量的最终世界线合并之前延迟时间的时空将具有拟似矢量场因此是自相似的。还讨论了反对这些猜想的证据，如果证明是正确的，我猜想两个无质量的粒子可以形成任意数量的黑洞。