Theoretical Foundations of Instantaneous Connectivity (P2) : From Bell's Inequality to the Basal Structure

Instantaneous Connectivity (P2) is one of the four core properties of the ITC framework. It asserts that there are no distance or delay constraints between basal nodes—they are instantaneously connected. While this property is motivated by the violation of Bell's inequality, its necessity must be established on more fundamental grounds. This paper systematically demonstrates the solid theoretical basis of P2 from five perspectives: experimental evidence, derivation from first principles, compatibility with causality, feasibility of statistical detection, and resonance with other theories. First, the robust experimental violation of Bell's inequality unequivocally demonstrates the existence of quantum nonlocality, providing the empirical cornerstone for P2. Second, from the ITC first principle (zero‑latency transmission between any two points in the universe), the instantaneous connectivity of the basal structure follows as a logical necessity. Third, the existence of absolute time guarantees causal order, while Manifestation Finiteness (P4) prevents single‑shot information transmission, rendering P2 compatible with relativistic causality. Fourth, experiments such as the recoiling‑slit experiment demonstrate that statistical distributions can be controlled, offering a practical pathway to test P2. Finally, P2 resonates deeply with theories such as quantum entanglement and the ER=EPR conjecture, all pointing toward a deeper reality. Through these five levels of argumentation, we conclude that instantaneous connectivity is an inherent attribute of the basal structure and a crucial element for the logical self‑consistency of the ITC framework.