The non-random fluctuation is one of the central objects in first passage percolation. It was proved in  that for a particular asymptotic direction, it diverges in a lattice first passage percolation with an explicit lower bound. In this paper, we discuss the non-random fluctuation in Euclidean first passage percolations and show that it diverges in dimension $d \geq 2$ in this model also. Compared with the result in , the present result is proved for any direction and improves the lower bound.
Digital Object Identifier: 10.2969/aspm/08710363