Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (2): 99-115.

• 论文 •    下一篇

A NON-DUALISTIC UNIFIED FIELD THEORY OF GRAVITATION,ELECTROMAGNETISM AND SPIN

余燊   

  1. Beijing Astronomical Observatory, Academia Sinica, Beijing
  • 收稿日期:1989-02-01 出版日期:1990-02-18 发布日期:1990-02-18

A NON-DUALISTIC UNIFIED FIELD THEORY OF GRAVITATION,ELECTROMAGNETISM AND SPIN

Yu Xin   

  1. Beijing Astronomical Observatory, Academia Sinica, Beijing
  • Received:1989-02-01 Online:1990-02-18 Published:1990-02-18

摘要: The wisdom of classicalunified field theories in the conceptual framework of Weyl, Eddington, Einstein and Schrodinger has often been doubted and in particular there does not appear to be any empirical reason why the Einstein-Maxwell (E-MJ theory needs to be geometrized.The crux of the matter is, however not whether the E-M theory is aesthetically satisfactory but whether it answers all the modern questions within the classical context.In particular, the E-M theory does not provide a classical platform from which the Dirac equation can be derived in the way Schrodinger's equation is derived from classical mechanics via the energy equation and the Correspondence Principle.The present paper presents a non-dualistic unified field theory (UFT) in the said conceptual framework as propounded by M.A.Tonnelat.By allowing the metric form ds2=gμγdxγdxγ and the non-degenerate two-form F=(1/2t)φμγ dxγΛdxγ; to enter symmetrically into the theory we obtain a UFT which contains Einstein's General Relativity and the Born-Infeld electrodynamics as special cases.Above all, it is shown that the Dirac equation describing the electron in an "external" gravito-electromagnetic field can be derived from the non-dualistic Einstein equation by a simple factorization if the Correspondence Principle is assumed.

关键词: bubble, breakup, narrow flow field, sub-bubble, narrow jet

Abstract: The wisdom of classicalunified field theories in the conceptual framework of Weyl, Eddington, Einstein and Schrodinger has often been doubted and in particular there does not appear to be any empirical reason why the Einstein-Maxwell (E-MJ theory needs to be geometrized.The crux of the matter is, however not whether the E-M theory is aesthetically satisfactory but whether it answers all the modern questions within the classical context.In particular, the E-M theory does not provide a classical platform from which the Dirac equation can be derived in the way Schrodinger's equation is derived from classical mechanics via the energy equation and the Correspondence Principle.The present paper presents a non-dualistic unified field theory (UFT) in the said conceptual framework as propounded by M.A.Tonnelat.By allowing the metric form ds2=gμγdxγdxγ and the non-degenerate two-form F=(1/2t)φμγ dxγΛdxγ; to enter symmetrically into the theory we obtain a UFT which contains Einstein's General Relativity and the Born-Infeld electrodynamics as special cases.Above all, it is shown that the Dirac equation describing the electron in an "external" gravito-electromagnetic field can be derived from the non-dualistic Einstein equation by a simple factorization if the Correspondence Principle is assumed.

Key words: bubble, breakup, narrow flow field, sub-bubble, narrow jet

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