This sealed preprint develops the Mirror Fredholm Duality within the geometric branch of the Conservative Motion Theory (CMT). Mirror symmetry between Calabi–Yau manifolds is reformulated as a Fredholm reflection between dual Hodge structures. Each mirror pair (X, \hat X) corresponds to reflection–positive Fredholm operators whose determinants satisfy \Xi_X(\kappa) = \Xi_{\hat X}(\kappa). This realizes mirror symmetry as a geometric conservation law and establishes Hodge–Fredholm energy invariance across mirror pairs. This sealed version is archived as part of the CMT geometric series and is not intended for public release until journal acceptance.