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arXiv 1408.0941quant-ph
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基本粒子的内禀螺旋性与自旋统计定理的证明

The intrinsic helicity of the elementary particles and the proof of the spin-statistics theorem

Enrico Santamato, Francesco De Martini

摘要:

传统的标准量子力学无法解决自旋统计问题,即无法证明极其重要的泡利不相容原理。我们表明,这是由于不完整的标准理论,由于一个可解释的概念的自旋作为一个向量表征的旋转性质的基本粒子。本文基于共形量子几何动力学理论,给出了自旋统计问题的一个完整而直接的解决方案,该理论已被证明成功地再现了基于狄拉克或薛定谔方程的标准量子力学的所有相关过程,包括海森堡测不准关系和非定域EPR关联。当应用于由许多相同粒子组成的系统时,所有基本粒子的一个附加性质自然地发挥作用:内禀螺旋度。此属性确定在自然中观察到的正确自旋统计连接。

英文摘要:

The traditional Standard Quantum Mechanics is unable to solve the Spin-Statistics problem, i.e. to justify the utterly important Pauli Exclusion Principle. We show that this is due to the non completeness of the standard theory due to an arguable conception of the spin as a vector characterizing the rotational properties of the elementary particles. The present Article presents a complete and straightforward solution of the Spin-Statistics problem on the basis of the Conformal Quantum Geometrodynamics, a theory that has been proved to reproduce successfully all relevant processes of the Standard Quantum Mechanics based on the Dirac or Schrödinger equations, including Heisenberg uncertainty relations and nonlocal EPR correlations. When applied to a system made of many identical particles, an additional property of all elementary particles enters naturally into play: the intrinsic helicity. This property determines the correct Spin-Statistics connection observed in Nature.

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