Previous work has demonstrated that the MPAC formalism provides a rigorous framework for bridging wavefunction-based and density-functional approaches by mapping HF density and orbital features to the wavefunction-defined correlation energy E c . A crucial missing ingredient in extending this success to real-space (i.e., pointwise/local) approximations is a well-defined local correlation energy density e c (r), which serves as the local counterpart of E c . In the present work, we develop a gauge strategy for correlation energy densities, which we then combine with the MPAC formalism to construct e c (r). The resulting e c (r) is the analogue of its DFT counterpart e DFT c (r), since both arise from a common gauge strategy and share additional features discussed in the manuscript, see Appendix A for a summary of the global and local quantities. After defining e c (r), we implement it by using λ-dependent FCI and analyze its behavior for representative closed-shell systems. We also derive the explicit small-λ (MP2) limit of e c (r) on HF orbitals, thereby facilitating future approximations for e c (r).