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arXiv 0807.0060gr-qc
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规范引力与电弱理论

Gauge Gravity and Electroweak Theory

David Hestenes

摘要:

狄拉克方程在实时空代数(STA)中的重构揭示了隐藏的几何结构,包括单位虚部作为类空平面中旋转生成元的几何作用。STA和真实狄拉克方程在广义相对论(GR)的新规范理论引力(GTG)版本中起着至关重要的作用。除了澄清广义相对论的概念基础和促进复杂的计算外,广义相对论为引力和量子力学的统一规范理论开辟了新的可能性,包括电弱相互作用的时空几何。温伯格-萨拉姆模型完全符合这个几何框架,并制定了一个有前途的变体,取代手征状态与马约拉纳状态纳入zitterbewegung电子状态。

英文摘要:

Reformulation of the Dirac equation in terms of the real Spacetime Algebra (STA) reveals hidden geometric structure, including a geometric role for the unit imaginary as generator of rotations in a spacelike plane. The STA and the real Dirac equation play essential roles in a new Gauge Theory Gravity (GTG) version of General Relativity (GR). Besides clarifying the conceptual foundations of GR and facilitating complex computations, GTG opens up new possibilities for a unified gauge theory of gravity and quantum mechanics, including spacetime geometry of electroweak interactions. The Weinberg-Salam model fits perfectly into this geometric framework, and a promising variant that replaces chiral states with Majorana states is formulated to incorporate zitterbewegung in electron states.

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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