四维空间电子谐振的几何和物理解释
Geometrical and Physical Interpretations of Electronic Harmonic Oscillations in Four Space Dimensions
摘要：
本文从氖壳层电子轨道的四元时空命题出发，描述了电子在四元空间维内作谐振运动的几何过程，给出了几何与满足勾股定理的三角波函数之间的具体联系。通过将四维四元空间与微积分学中常用的笛卡尔坐标系相结合，从旋转操作和时空对称性原理出发，利用麦克斯韦方程和广义斯托克斯定理解释了电子的运动。与以前的报告一起，我们有效地建立了四位一体时空作为一个成功的理论，在阐明惰性原子，如氦和氖的轨道形状和运动的电子。我们再次指出，2px，2py和2pz轨道具有不同的几何形状以及正交取向，与传统的2p轨道模型相反。
英文摘要：
Following a previous proposition of quaternity spacetime for electronic orbitals in neon shell, this paper describes the geometrical course each electron takes as it oscillates harmonically within a certain quaternity space dimension and provides the concrete connections between geometries and trigonometric wavefunctions that observe Pythagorean theorem. By integrating four quaternity space dimensions with conventional Cartesian coordinate systems in calculus, we explain electronic motions by the Maxwell equation and general Stokes theorem from the principles of rotation operation and space and time symmetry. Altogether with the previous reports, we have effectively established quaternity spacetime as a successful theory in elucidating the orbital shapes and motions of electrons within inert atoms such as helium and neon. We point out once again that 2px, 2py, and 2pz orbitals have different geometrical shapes as well as orthogonal orientations, contrary to the traditional 2p orbital model.
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