arXiv quant-ph/01120472001-12-07quant-ph

三维量子真空的随机模拟

Stochastic Simulation of The Three Dimensional Quantum Vacuum

J. G. Gilson

备注：: 16 pages

摘要：

对薛定谔量子理论建立在标准随机理论基础上这一长期存在的问题给出了一个完整的解决方案。该解决方案涵盖了所有的“单”粒子三维薛定谔理论的线性或非线性和任何外部的潜力。该系统是经典的，设置在一个六维空间，并涉及真空极化作为背景过程。基本的真空极化能量特征的振荡器被确定，然后在组件中的能量发生频率进行分析。给出了极化单极子在子空间曲面上的椭圆轨道。基本过程以光速发生，具有统计学上的“zitterbewegung”特征。正统的量子概率密度双线性二次型是从角动量考虑系统内，这是一个概括的通常的量子结构。确定了两个统计组件，一个与本征函数的叠加相关的线性组件和一个与本征态之间的相互作用相关的二次组件。这表明，这种双层概率系统将消除一些可能的悖论困扰着正统的理论。本文讨论了真空极化与它在其它物理背景下的出现以及与“自旋”的关系。

英文摘要：

A complete solution to the long standing problem of basing Schroedinger quantum theory on standard stochastic theory is given. The solution covers all "single" particle three-dimensional Schroedinger theory linear or nonlinear and with any external potential present. The system is classical, set in a six-dimensional space and involves vacuum polarization as the background process. Basic vacuum polarization energy characterised oscillators are identified and then in assemblies are analysed in terms of energy occurrence frequencies. The orbits of polarization monopoles are given and shown to be elliptical on subspaces surfaces. The basic process takes place at the speed of light and is of a statistical "zitterbewegung" character. The orthodox quantum probability density bilinear quadratic form is derived from angular momentum consideration within the system which is shown to be a generalisation of the usual quantum structure. Two statistical assemblies are identified, a linear one associated with superposition of eigenfunctions and a quadratic one associated with interactions between eigenstates. It is suggested that this two-tier probabilistic system will remove some possible paradoxes that plague the orthodox thoory. The relation of vacuum polarization in this work with its occurrence in other physical contexts and a connection with "spin" is discussed.

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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