惯性 I:全局 MSp-SUSY 诱导的匀速运动

G. Ter-Kazarian
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摘要

在这篇通讯中,我们的主要重点是回顾粒子运动的标准洛伦兹代码(SLC)的基础。为此,我们发展了全局性的所谓 "双空间 "或 "主空间(MSp)"超对称理论,并遵循一定的规则,其中超空间是背景空间 M4⊕ MSp 的直接和的 14D 扩展,加入了额外的 8D 费米子坐标。虽然所有粒子都生活在 M4 上,但它们的超级伙伴可以被视为生活在 MSp 上。这是引入 MSp 的主要理由,MSp 是相关粒子的未显现的个体伴星。超对称变换被定义为超空间中的平移,由具有相应反交参数的群元指定。两个连续变换的相乘会产生运动。作为推论,我们从洛伦兹旋子(θ,¯θ)的全局双 MSp-SUSY 变换的新视角来理解 SLC。这就要求我们彻底重新考虑洛伦兹运动代码的概念,现在我们把它称为粒子的个体代码,定义为粒子的内在属性。在MSp-SUSY理论中,显然与在标准的未破裂SUSY理论中一样,真空零点能问题是摆在M4中任何量子场理论面前的一个难题。M4中的粒子本身可以被视为背景双空间M4⊕MSp的底层量子真空之上的激发态,只要固有频率设定为相等(q20 ≡νb = νf),零点取消就会发生在基态能量上,因为费米子场具有负零点能,而玻色子场具有正零点能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Inertia I: The global MSp-SUSY induced uniform motion
In this communication our main emphasis is on the review of the foundations of standard Lorentz code (SLC) of a particle motion. To this aim, we develop the theory of global, so-called, `double space´- or master space (MSp)-supersymmetry, subject to certain rules, wherein the superspace is a 14D-extension of a direct sum of background spaces M4⊕ MSp by the inclusion of additional 8D fermionic coordinates. The latter is induced by the spinors θ and ¯θ referred to MSp. While all the particles are living on M4, their superpartners can be viewed as living on MSp. This is a main ground for introducing MSp, which is unmanifested individual companion to the particle of interest. Supersymmetry transformation is defined as a translation in superspace, specified by the group element with corresponding anticommuting parameters. The multiplication of two successive transformations induce the motion. As a corollary, we derive SLC in a new perspective of global double MSp-SUSY transformations in terms of Lorentz spinors (θ, ¯θ). This calls for a complete reconsideration of our ideas of Lorentz motion code, to be now referred to as the individual code of a particle, defined as its intrinsic property. In MSp-SUSY theory, obviously as in standard unbroken SUSY theory, the vacuum zero point energy problem, standing before any quantum field theory in M4, is solved. The particles in M4 themselves can be considered as excited states above the underlying quantum vacuum of background double spaces M4⊕ MSp, where the zero point cancellation occurs at ground-state energy, provided that the natural frequencies are set equal (q 2 0 ≡ νb = νf ), because the fermion field has a negative zero point energy while the boson field has a positive zero point energy. On these premises, we derive the two postulates on which the Special Relativity (SR) is based.
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