Dirac Equation on the Schouten Spacetime : Particles and Fields

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概要

• 論文の詳細を見る

• Spacetimes such as Riemann's and Weyl-Cartan's are specially applied forms of the Schouten spacetime. The Dirac equation is formulated on the Schouten spacetime. A spinor theory for the formulation is exploited. The Schouten spacetime admitting the spinor theory has plenty of fundamental geometrical objects. By studying the Dirac equation, some of the objects are shown to be a fermion-number field, the electromagnetic field and a mass field that has relation to particle masses. Another fundamental geometrical object measuring a deviation from the Weyl-Cartan spacetime, called the proper part of the nonmetrical tensor, is shown not to minimally couple not only with scalar particles and vector particles but also with Dirac particles. Nevertheless, it is possible to attach some physical meanings to the proper part. In fact, a gravitational theory called the O_4 gravity relates the proper part to a variable gravitational constant and Hoyle's C-field. We summarize the present status of the gravitational theory.

• 理論物理学刊行会の論文
• 1984-01-25

著者

• OBATA Tsunehiro

  Department of Electrical Engineering, Tohoku University

• Obata Tsunehiro

  Department Of Electrical Engineering Gunma National College Of Technology

• Oshima Hiroshi

  Department Of General Education Toho University

• Oshima Hiroshi

  Deparment Of Chemistry School Of Science Kwansei Gakuin University

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