The present invention may provide various improvements over conventional cross connectors. For example, the present invention may provide various types of Real-X cross connectors, which may have an arch shape X-bridge that curves above the spinal bone segments of the patient. As such, the Real-X cross connectors may be more adaptive to the patients spinal provide and provide better protect for the patients the spinal bone segments. Moreover, the Real-X cross connectors may incorporate a complementary pivot joint configuration for smoothening the stress distribution and reducing the stress concentration around the center of the arch shape X-bridge. Advantageously, the complementary pivot joint configuration may enhance the rigidity and stability of the Real-X cross connectors.