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arXiv math-ph/0306045math-phmath.MP
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量子可观测结构的布尔覆盖:一个抽象微分几何机制的设定

Boolean Coverings of Quantum Observable Structure: A Setting for an Abstract Differential Geometric Mechanism

Elias Zafiris

摘要:

我们开发的想法,采用本地化系统的布尔覆盖,与测量的情况下,为了理解量子可观测的结构。以这种方式,布尔域可观测量构成了坐标化系数的结构层,试图探索量子世界。解释方面的建议计划进行了讨论相对于函制定的信息交换,以及量子逻辑的考虑。最后,层理论的建设提出了一个opearationally直观的方法来发展微分几何概念的量子制度。

英文摘要:

We develop the idea of employing localization systems of Boolean coverings, associated with measurement situations, in order to comprehend structures of Quantum Observables. In this manner, Boolean domain observables constitute structure sheaves of coordinatization coefficients in the attempt to probe the Quantum world. Interpretational aspects of the proposed scheme are discussed with respect to a functorial formulation of information exchange, as well as, quantum logical considerations. Finally, the sheaf theoretical construction suggests an opearationally intuitive method to develop differential geometric concepts in the quantum regime.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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