广义Nordström理论的再认识(II):Nordström & Maxwell联合体
Generalized Nordström Theory Revisited Part II: Nordström & Maxwell United
摘要:
爱因斯坦在1945年总结道:“现在的相对论是基于把物理实在分为两部分,一方面是度规场(引力),另一方面是电磁场和物质。在现实中,空间很可能具有统一的性质,而目前的理论仅作为一种限制情况才有效。对于大密度的场和物质,场方程,甚至进入其中的场变量都没有实际意义。".通过引入一个具有实值标量场和复值向量场的复Randers度量来解决二分法,为引力和电磁学提供了一个统一的数学框架,由此产生的理论的预测与广义相对论一致;在引力常量中处于领先地位。因此,相关的实验结果验证了这两个理论;前一个理论的度规解没有虚假奇点,因为它的应力-能量张量包含了引力场的能量和动量;就像麦克斯韦的应力-能量张量包含了电磁场一样。
英文摘要:
In 1945 Einstein concluded that [1]: "The present theory of relativity is based on a division of physical reality into a metric field (gravitation) on the one hand, and into an electromagnetic field and matter on the other hand. In reality space will probably be of a uniform character and the present theory be valid only as a limiting case. For large densities of field and of matter, the field equations and even the field variables which enter into them will have no real significance.". The dichotomy is resolved by introducing a complex Randers metric with a real valued scalar field and complex valued vector field, providing a unified mathematical framework for gravitation & electromagnetism for which the resulting theory's predictions agree with General Relativity; to leading order in the gravitational constant. Hence, the related experimental results validate both theories; and the former theory's metric solutions are free of spurious singularities, because its stress-energy tensor includes the energy & momentum for the gravitational field; like e.g. Maxwell's stress-energy tensor contains the electromagnetic field.
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