Quantum Physics

    

On Lorentz Invariant Non-Locality Described by Differential Equations with Derivatives of Infinite Order

Authors: R. K. Salimov, T. R. Salimov

The paper considers Lorentz invariant equations with infinite-order derivatives with solitonsolutions. Within the framework of the Lagrangian formalism for fields description and when describing point particles in the form of probability amplitudes, such equations are not considered. If the axiomatic nature of these approaches is abandoned and we limit ourselves only to the requirement of Lorentz invariance of differential equations, then the consideration of such equations allows for non-locality. The paper discusses some general features of nonlocality described by such equations and their differences from the description of nonlocality in the Copenhagen interpretation of the quantum mechanical description. In particular, it is shown that in such a model the question of paradoxes of the Einstein - Podolsky - Rosen type is removed.

Comments: 3 Pages.

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[v1] 2025-01-10 19:38:30

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