The degree doubling conjecture for braid monodromy factorizations

Let $X$ be a complex algebraic manifold, and let $k$ be a positive integer for which the degree doubling formula is defined. A braid factorization is considered up to Hurwitz equivalence and global conjugation. Degree doubling conjecture. When $X$ is a complex algebraic manifold, the degree doubling formula is valid up to Hurwitz equivalence and global conjugation. The conjecture asks whether the algebraic degree doubling construction produces the usual braid monodromy invariant without requiring pair creation operations between nodal intersections; this issue is unresolved in the stated context.