I haven’t read this in detail, but a few things stand out. In the write up, you say it compares better than bitwise radix sort. You need to compare against an optimized byte-wise radix sort which is by far the fastest sort for decent sized arrays of integers. The second claim that skyline sort somehow sorts an array of size a faster than two arrays of size n does not make sense. That implies that the time per element goes to zero as the size goes to infinity. That would be faster than O(n), which is what radix sort is, i.e. constant time per element for larger arrays.

It sounds like this is just a variation of counting sort or bucket sort optimized for a small number of unique values.