The article is based on a popular misconception: The Planck length is Lorentz invariant, so special relativity must break down at Planck length scales. However

The article is based on a popular misconception: The Planck length is Lorentz invariant, so special relativity must break down at Planck length scales. However this is wrong. The Planck length is the minimal length of a 4-vector (a 4-dimensional vector measuring the distance between two events in space-time). But the length of a 4-vector is invariant under Lorentz transformation, so it also doesn't Lorentz contract. So there is no conflict between special relativity and a constant Planck length.