四维超流量子时空中的四元数代数。重力磁学
Quaternion algebra on 4D superfluid quantum space-time. Gravitomagnetism
摘要:
重力磁场方程是将四元数微分算子应用于能量-动量张量的结果。这些方程类似于麦克斯韦电磁方程。这两组方程是同构的改变后,无论是重力磁轨道力或磁感应强度的方向。重力磁场方程是产生以下方程组的父方程:(a)涡度方程给出具有非零涡核和无限寿命的涡的解;(b)量子势加载的Hamilton-Jacobi方程。这个方程与连续性方程相结合,得到描述超流量子介质状态的\Schrodinger方程(旧以太的现代版本);(c)重力磁波方程,由作用在太空上的力加载。这些波服从普朗克辐射定律。
英文摘要:
Gravitomagnetic equations result from applying quaternionic differential operators to the energy-momentum tensor. These equations are similar to the Maxwell's EM equations. Both sets of the equations are isomorphic after changing orientation of either the gravitomagnetic orbital force or the magnetic induction. The gravitomagnetic equations turn out to be parent equations generating the following set of equations: (a) the vorticity equation giving solutions of vortices with nonzero vortex cores and with infinite lifetime; (b) the Hamilton-Jacobi equation loaded by the quantum potential. This equation in pair with the continuity equation leads to getting the \Schrodinger equation describing a state of the superfluid quantum medium (a modern version of the old ether); (c) gravitomagnetic wave equations loaded by forces acting on the outer space. These waves obey to the Planck's law of radiation.
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