Quantum Interference and the Limits of Separability

Quantum theory implies, and empirical evidence confirms, that while particles $\mathit{\text{can}}$ exhibit wave-like behavior in interferometric experiments, this behavior is so limited as $\mathit{\text{not}}$ to allow for third- and higher-order interference. The article at hand shows that this possibility-impossibility structure suggests the universal validity of a principle that regulates statistical correlations between spatiotemporally localized events, $\mathit{\text{independently}}$ of the nature of the objects that may or may not partake in these events. Roughly, the said principle mandates that $\mathit{\text{any}}$ joint influence of $m$ mutually spacelike separated events on $\mathit{\text{another}}$ event, be such, that it can be separated by $\mathit{\text{at}}\mathit{\text{least}}$ $\lceil \frac{m}{2}\rceil$ mediating events, and in some cases, by $\mathit{\text{no}}\mathit{\text{more}}$ than $\lceil \frac{m}{2}\rceil$ mediating events. The structure of quantum interference thus teaches us that events can influence each other in a non-separable fashion, but that this non-separability has a certain exactly quantifiable limit.