A measurable physical theory of hyper-correlations beyond quantum mechanics
whose non-local character exceeds the bounds allowed by quantum mechanics. Motivated by our observation that an extension of the Schroedinger equation with non-linear terms is directly linked to a relaxation of Born's rule, an axiom of quantum mechanics, we derive a physical theory that account...
| Main Authors: | , , |
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| Format: | Journal article |
| Sprog: | English |
| Udgivet: |
IOP Publishing
2020
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| Summary: | whose non-local character exceeds the bounds allowed by quantum mechanics. Motivated by our observation that an extension of the Schroedinger equation with non-linear terms is directly linked to a relaxation of Born's rule, an axiom of quantum mechanics, we derive a physical theory that accounts for such hyper-correlated states and modifies Born's rule. We model correlated particles with a generalized probability theory whose dynamics are described with a non-linear version of Schr\"odinger's equation and demonstrate how that deviates from the standard formulation of quantum mechanics in experimental probability-prediction. We show also that the violation of the Clauser-Horn-Shimony-Holt inequality, the amount of non-locality, is proportional to the degree of non-linearity, which can be experimentally tested. |
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