Systems and methods for eliminating carbon dioxide and capturing solid carbon are disclosed. By eliminating carbon dioxide gas, e.g., from an effluent exhaust stream of a fossil fuel fired electric power production facility, the inventive concepts presented herein represent an environmentally-clean solution that permanently eliminates greenhouse gases while at the same time producing captured solid carbon products that are useful in various applications including advanced composite material synthesis (e.g., carbon fiber, 3D graphene) and energy storage (e.g., battery technology). Capture of solid carbon during the disclosed process for eliminating greenhouse gasses avoids the inefficiencies and risks associated with conventional carbon dioxide sequestration. Colocation of the disclosed reactor with a fossil fuel fired power production facility brings to bear an environmentally beneficial, and financially viable approach for permanently capturing vast amounts of solid carbon from carbon dioxide gas and other greenhouse gases that would otherwise be released into Earth's biosphere.