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In this work, the quantum fisher information (QFI) and Bell non-locality of a multipartite fermionic system are investigated. Unlike the currently existing research of QFI, we focus our attention on the differences between quantum fisher information and Bell non-locality under the relativistic framework. The results show that although the relativistic motion affects the strength of the non-locality, it does not change the physical structure of non-locality. However, unlike the case of non-locality, the relativistic motion not only influence the precision of the QFI  F   ϕ   but also broke the symmetry of the function  F   ϕ  . The results also show that for a special multipartite system,, the number of particles of a initial state do not affect the  F   θ  . Furthermore, we also find that  F   θ   is completely unaffected in non-inertial frame if there are inertial observers. Finally, in view of the decay behavior of QFI and non-locality under the non-inertial frame, we proposed a effective scheme to battle against Unruh effect.

How the Relativistic Motion Affect Quantum Fisher Information and Bell Non-locality for Multipartite state