Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: It is possible to reproduce the quantum features of quantum states, starting from a classical statistical theory and then limiting the amount of knowledge that an agent can have about an individual system [5, 18].These are so called epistemic restrictions. Such restrictions have been recently formulated in terms of the symplectic geometry of the corresponding classical theory [19]. The purpose of this note is to describe, using this symplectic framework, how to obtain a C*-algebraic formulation for the epistemically restricted theories. In the case of continuous variables, following the groupoid quantization recipe of E. Hawkins,  obtain a twisted group C*-algebra which is the usual Moyal quantization of a Poisson vector space [12].
['Ivan Contreras', 'Ali Nabi Duman']
I am writing a research paper on a idea Geometric Quantization and Epistemically Restricted Theories: The Continuous Case
[{"from": "human", "value": "I am writing a research paper on a idea Geometric Quantization and Epistemically Restricted Theories: The Continuous Case"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: It is possible to reproduce the quantum features of quantum states, starting from a classical statistical theory and then limiting the amount of knowledge that an agent can have about an individual system [5, 18].These are so called epistemic restrictions. Such restrictions have been recently formulated in terms of the symplectic geometry of the corresponding classical theory [19]. The purpose of this note is to describe, using this symplectic framework, how to obtain a C*-algebraic formulation for the epistemically restricted theories. In the case of continuous variables, following the groupoid quantization recipe of E. Hawkins,  obtain a twisted group C*-algebra which is the usual Moyal quantization of a Poisson vector space [12]."}]