Structural Coherence, Entanglement, and Bell-Test Analysis

Quantum entanglement is commonly described as a nonclassical resource enabling protocols such as quantum teleportation and nonlocal correlations. While the operational formalism of these phenomena is well established, their physical interpretation often invokes notions of transmission, transport, or nonlocal influence that are not required by the theory. In this work we analyze entanglement and quantum teleportation from a structural perspective. We argue that entanglement does not constitute a physical channel, but rather reflects the existence of a shared global quantum state whose correlations cannot be reduced to local descriptions. Using the standard formulation of teleportation as a completely positive trace-preserving map implemented via local operations and classical communication, we show that teleportation reconstructs reduced quantum states while necessarily discarding correlations with the environment, excluding any interpretation in terms of physical transport. We further introduce an operational criterion based on environmental reconfiguration, showing that genuine physical transport must induce detectable changes in the local environment. The absence of such reconfiguration falsifies transport-based interpretations of teleportation, in direct analogy with the modern understanding of the double-slit experiment. Finally, we illustrate these structural distinctions both in a minimal theoretical model under decoherence and in the analysis of loophole-free Bell-test data, where nonlinear correlations persist even when standard entanglement witnesses and Bell-inequality violations vanish. Together, these results clarify the physical meaning of entanglement and teleportation without modifying the standard quantum formalism. If you use this material or have questions, comments, or potential extensions, feel free to contact me at: fjmartinezsanchezact@gmail.com