ITC Framework's Examination of the No-Signaling Theorem: Quantum Information Transfer from the Perspective of Basal Structure

The no-signaling theorem is a cornerstone of standard quantum mechanics, asserting that no matter what local operations Alice performs on an entangled particle, Bob's reduced density matrix remains unchanged, thereby prohibiting superluminal communication. However, the "Instantaneous Teleportation Cosmos (ITC)" framework introduces a basal structure, interpreting entangled particles as dual manifestations of the same basal storage unit. This paper re-examines the scope of the no-signaling theorem from the perspective of the ITC framework. We argue that the existence of the basal structure alters the meaning of "local operations"—Alice's operation modifies the boundary conditions of the shared storage unit at the basal level and, through instantaneous connectivity (P2), affects the entire unit. The reduced density matrix is merely a projection of the basal state onto the manifestation layer and does not contain all basal information. Therefore, the no-signaling theorem holds at the manifestation layer with finite samples, but can be transcended at the basal layer in the infinite sample limit—manifested as a tiny shift ΔP≠0 in the receiver's single-side probability, detectable through statistical accumulation. This perspective provides a theoretical foundation for superluminal communication experiments, while causality is ensured by manifestation finiteness (P4).