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In this paper, we give a brute-force proof of the Kastler-Kalau-Walze typetheorem for $7$-dimensional manifolds with boundary about Witten deformation,and give a theoritic explaination of the gravitational action for $7$dimensional manifolds with boundary.

A Kastler-Kalau-Walze Type Theorem for 7-dimensional Manifolds with Boundary about Witten deformation