通向量子理论的康庄大道
A Royal Road to Quantum Theory (or Thereabouts)
摘要：
这篇论文未能从几个简单的假设导出量子力学。但是它非常接近-而且它没有太多的努力。更确切地说，我得到了一个表示的有限维概率系统的欧几里德约当代数，在一个惊人的简单的方式，从简单的假设。这提供了一个框架，在其中真正的，复杂的和四元数的QM可以愉快地一起玩，并允许一些-但不是太多-更多的异国情调的替代品的空间。(This是一个悠闲的总结，根据最近的讲座，材料从论文arXiv：1206：2897和arXiv：1507.06278，后者与霍华德巴纳姆和马修格雷顿联合工作。还探讨了一些进一步的想法）。
英文摘要：
This paper fails to derive quantum mechanics from a few simple postulates. But it gets very close --- and it does so without much exertion. More exactly, I obtain a representation of finite-dimensional probabilistic systems in terms of euclidean Jordan algebras, in a strikingly easy way, from simple assumptions. This provides a framework within which real, complex and quaternionic QM can play happily together, and allows some --- but not too much --- room for more exotic alternatives. (This is a leisurely summary, based on recent lectures, of material from the papers arXiv:1206:2897 and arXiv:1507.06278, the latter joint work with Howard Barnum and Matthew Graydon. Some further ideas are also explored.)
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。
