Accuracy of reconstruction in recovering intrinsic void shapes

Determine whether cosmological reconstruction techniques designed to mitigate redshift-space distortions accurately recover the intrinsic, isotropic three-dimensional geometric shapes of cosmic voids identified in galaxy surveys, particularly given the sparse tracer density within void interiors.

Background

Redshift-space distortions introduce anisotropies in observed void shapes by smearing galaxy positions along the line of sight. Reconstruction methods aim to infer real-space clustering and recover intrinsic void geometry, but the fidelity of these techniques for voids is uncertain due to sparse sampling within void interiors.

Assessing whether reconstruction restores isotropic void shapes is critical for using void morphology in precision cosmology, and is a central objective of the study through comparisons of redshift space, real space, and reconstructed ELUCID volumes.