Planck's uncertainty principle and the saturation of Lorentz boosts by Planckian black holes

Understand

A basic inconsistency arises when the Theory of Special Relativity meets with quantum phenomena at the Planck scale.

• Specifically, the Planck length is Lorentz invariant and should not be affected by a Lorentz boost.
• We argue that Planckian relativity must necessarily involve the effect of black hole formation.
• Recent proposals for resolving the noted inconsistency seem unsatisfactory in that they ignore the crucial role of gravity in the saturation of Lorentz boosts.