对Evans统一场论的评价I
An assessment of Evans' unified field theory I
摘要:
埃文斯在时空服从黎曼-嘉当几何的背景下发展了引力和电磁的经典统一场论。这种几何可以用一个标准正交余标架θ和一个(度量相容的)洛伦兹连接γ来表征。这两个势产生场强挠率T和曲率R。埃文斯试图通过将上框架θ与四个扩展电磁势A成比例来将电磁性质注入到这个几何框架中;假设这些电磁势在适当的限制下包含传统的麦克斯韦势。可行的爱因斯坦-嘉当(-Sciama-Kibble)引力理论被埃文斯用来描述他的理论中的引力部分。还包括结果的一份附带文件的Obukhov和作者,我们表明,埃文斯的ananeclipse电磁是站不住脚的无法修复无论是从几何以及从物理的角度来看。因此,他的统一理论已经过时了。
英文摘要:
Evans developed a classical unified field theory of gravitation and electromagnetism on the background of a spacetime obeying a Riemann-Cartan geometry. This geometry can be characterized by an orthonormal coframe theta and a (metric compatible) Lorentz connection Gamma. These two potentials yield the field strengths torsion T and curvature R. Evans tried to infuse electromagnetic properties into this geometrical framework by putting the coframe theta to be proportional to four extended electromagnetic potentials A; these are assumed to encompass the conventional Maxwellian potential in a suitable limit. The viable Einstein-Cartan(-Sciama-Kibble) theory of gravity was adopted by Evans to describe the gravitational sector of his theory. Including also the results of an accompanying paper by Obukhov and the author, we show that Evans' ansatz for electromagnetism is untenable beyond repair both from a geometrical as well as from a physical point of view. As a consequence, his unified theory is obsolete.
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