De Giuseppe Paradox 3.0: Emergent Retrocausality and Ontological Non-Uniqueness of Matter in Special Relativity

We present an extended formalization of the De Giuseppe Paradox demonstrating that causal order preservation and ontological uniqueness of matter are not logically required by Special Relativity (SR). We rigorously show that apparent paradoxes, including the "double brick'' scenario and wall collisions, emerge from specific spacetime configurations of material objects and observers. By introducing a {spacetime configuration function} (f) and explicitly computing relevant Lorentz intervals, we formalize {emergent retrocausality} and demonstrate that SR imposes no global constraint on the uniqueness of matter. Small perturbations in spacetime positions eliminate retrocausal loops, highlighting the extreme sensitivity of these phenomena to configuration. This work provides a mathematically consistent framework for analyzing retrocausal effects and resolves classical paradoxes without introducing new physics.