arXiv quant-ph/06120302006-12quant-phhep-phhep-th

耦合振子与费曼的三篇论文

Coupled oscillators and Feynman's three papers

Y. S. Kim

备注：: 31 pages, 6 figures, based on the concluding talk at the 3rd Feynman Festival (Collage Park, Maryland, U.S.A., August 2006), minor corrections
发表信息：: J.Phys.Conf.Ser.70:012010,2007
DOI：: 10.1088/1742-6596/70/1/012010

摘要：

根据理查德·费曼的说法，我们物理科学的冒险是一种不断的尝试，以认识到自然的不同方面实际上是同一事物的不同方面。因此，有趣的是结合一些，如果不是全部，费曼的文件成一个。他的三篇论文中的第一篇是关于“宇宙的其余部分”的，载于他1972年关于统计力学的书中。第二个想法是费曼的部分子图片，他在1969年提出的石溪会议上的高能物理。第三个想法包含在1971年他和他的学生发表的论文中，他们表明Regge轨迹上的强子谱是谐振子简并的表现。在这份报告中，我们制定了这三个想法使用两个耦合振荡器的数学。结果表明，纠缠的思想是包含在他的宇宙的其余部分，并可以扩展到一个时空纠缠。本文还证明了他的部分子模型和静态夸克模型可以合并为一个洛伦兹协变实体。此外，爱因斯坦基于洛伦兹群的狭义相对论也可以在两个耦合振子的数学框架内表述。

英文摘要：

According to Richard Feynman, the adventure of our science of physics is a perpetual attempt to recognize that the different aspects of nature are really different aspects of the same thing. It is therefore interesting to combine some, if not all, of Feynman's papers into one. The first of his three papers is on the ``rest of the universe'' contained in his 1972 book on statistical mechanics. The second idea is Feynman's parton picture which he presented in 1969 at the Stony Brook conference on high-energy physics. The third idea is contained in the 1971 paper he published with his students, where they show that the hadronic spectra on Regge trajectories are manifestations of harmonic-oscillator degeneracies. In this report, we formulate these three ideas using the mathematics of two coupled oscillators. It is shown that the idea of entanglement is contained in his rest of the universe, and can be extended to a space-time entanglement. It is shown also that his parton model and the static quark model can be combined into one Lorentz-covariant entity. Furthermore, Einstein's special relativity, based on the Lorentz group, can also be formulated within the mathematical framework of two coupled oscillators.

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