By assuming a deterministic evolution of quantum systems and taking realisminto account, we carefully build a hidden variable theory for Quantum Mechanicsbased on the notion of ontological states proposed by 't Hooft. We view theseontological states as the ones embedded with realism and compare them to the(usual) quantum states that represent superpositions, viewing the latter asmere information of the system they describe. Such a deterministic model putsforward conditions for the applicability of Bell's inequality: the usualinequality cannot be applied to the usual experiments. We build a Bell-likeinequality that can be applied to the EPR scenario and show that thisinequality is always satisfied by Quantum Mechanics. In this way we show thatQuantum Mechanics can indeed have a local interpretation, and thus meet withthe causal structure imposed by the Theory of Special Relativity in asatisfying way.
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