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We prove that every set of  n  points in   $\mathbb{R}^{3}$   spans  O ( n  295/197+ε ) unit distances. This is an improvement over the previous bound of  O ( n  3/2 ), which was a natural barrier for this problem. A key ingredient in the proof is a new result for cutting circles in   $\mathbb{R}^{3}$   into pseudo-segments.

Breaking the 3/2 Barrier for Unit Distances in Three Dimensions