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首页> 外文会议>International Conference on Mathematical Modeling in Physical Sciences >Euclidean Complex Relativistic Mechanics: A New Special Relativity Theory
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Euclidean Complex Relativistic Mechanics: A New Special Relativity Theory

机译：Euclidean复杂相对论力学：一种新的特殊相对论理论

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Relativity Theory (RT) was fundamental for the development of Quantum Mechanics (QMs). Special Relativity (SR), as is applied until now, cancels the transitive attribute in parallelism, when three observers are related, because Lorentz Boost (LB) is not closed transformation. In this presentation, considering Linear Spacetime Transformation (LSTT), we demand the maintenance of Minkowski Spacetime Interval (S~2). In addition, we demand this LSTT to be closed, so there is no need for axes rotation. The solution is the Vossos Matrix (Λ_B) containing real and imaginary numbers. As a result, space becomes complex, but time remains real. Thus, the transitive attribute in parallelism, which is equivalent to the Euclidean Request (ER), is also valid for moving observers. Choosing real spacetime for the unmoved observer (O), all the natural sizes are real, too. Using Vossos Transformation (VT) for moving observers, the four-vectors' zeroth component (such as energy) is real, in contrast with spatial components that are complex, but their norm is real. It is proved that moving (relative to O) human O' meter length, according to Lorentz Boost (LB). In addition, we find Rotation Matrix Vossos-Lorentz (R_(BL)) that turns natural sizes' complex components to real. We also prove that Speed of Light in Vacuum (c) is invariant, when complex components are used and VT is closed for three sequential observers. After, we find out the connection between two moving (relative to O) observers: X" = Λ_(LO"(O)) Λ_(LO(O')) X', using Lorentz Matrix (Λ_L). We applied this theory, finding relations between natural sizes, that are the same as these extracted by Classic Relativity (CR), when two observers are related (i.e. relativistic Doppler shift is the same). But, the results are different, when more than two observers are related. VT of Electromagnetic Tensor (F~(μv)), leads to Complex Electromagnetic Fields (CEMFs) for a moving observer. When the unmoved observer O and a moving observer O' are related, O measures the same Real Electromagnetic Fields (REMFs) as those are given, using LB, but O' measure CEMFs with the same formula. Complex Electromagnetic Tensor (F'_B) turns to Real Electromagnetic Tensor (F') using the formula F' = R_(BLO'(O)) F'_B R_(BLO(O')). When there are two moving (relative to O) observers O' and O", their real electromagnetic tensors are related, using the form F" = Λ_(LO"(O)) Λ_(LO(O')) F' [Λ_(LO"(O)) Λ_(LO(O'))]~T. In addition, we prove that the relation between two moving (relative to O) observers, when they use Real Coordinates (RCs), causes a real rotation between their frames. The turn is opposite to the turn of Thomas and has a little different measure, when the velocities are small. We apply these to the Uniform Circular Motion (UCM) and to the Hydrogen Atom (H), considering that the Proton (p) is the unmoved observer O and the laboratory observer O' has infinitesimal velocity. Using Perturbation Theory (PT) we calculate the position of the fine structure peaks of the atomic spectrum. The result is better not only than this extracted using P. Dirac Theory, but also than that extracted using L. H. Thomas Method.
机译：相对论（RT）是量子力学（QMS）的发展的根本。狭义相对论（SR），当施加到现在为止，取消在并行的过渡属性，当三个观察员是相关的，因为洛伦兹升压（LB）是不封闭的转型。在这个演示中，考虑线性时空变换（LSTT），我们要求闵可夫斯基时空间隔（S〜2）的维护。此外，我们要求这个LSTT被关闭，所以没有必要轴旋转。该溶液是含有实数和虚数的Vossos矩阵（λ_B）。其结果是，空间变得复杂，但时间保持真实。因此，在并行的过渡属性，这相当于欧几里德请求（ER），也适用于移动观察员。选择了无动于衷的观察者（O）真正的时空，所有的自然大小是真实的，太。使用Vossos变换（VT），用于移动观察员，四矢量零组件（如能量）是真实的，在与该复杂空间分量的对比度，但它们的范数是真实的。证明了移动（相对于O）人类O”米长度，根据洛伦兹升压（LB）。此外，我们发现旋转矩阵Vossos - 洛伦兹（R_（BL）），轮流天然大小成分复杂现实。我们也证明了光在真空这样的速度（c）是不变的，当使用复杂的组件和VT关闭了三个连续的观察员。之后，我们发现在两者之间移动（相对于O）观察员连接：X “Λ_（LO =”（O））Λ_（LO（O '））X'，使用洛伦兹矩阵（Λ_L）。我们应用这个理论，发现天然尺寸之间的关系，是相同，因为这些由经典相对论（CR），当两个观察者相关（即相对论多普勒频移是相同的）萃取。但是，结果是不同的，当两个以上的观察员有关。电磁张量的VT（F〜（μV）），导致复杂的电磁场（CEMFs）对于运动的观察者。当观察者无动于衷O和移动观察者O“是相关的，O-措施相同的真实电磁场（REMFs）的那些给出，使用LB，但O”具有相同的公式测量CEMFs。 '使用公式F = R_复杂电磁张量（F'_B）轮流实电磁张量（F）'（BLO '（O））F'_B R_（BLO（O'））。当存在两个移动（相对于O）观察员O”和O “它们的真实电磁张量是相关的，使用的形式F”=Λ_（LO“（O））Λ_（LO（O '））F'[Λ_ （LO“（O））Λ_（LO（O'））]〜吨。此外，我们证明了两个移动（相对于O）观察员，当他们使用真实坐标（RCS）之间的关系，使他们的帧之间的真正的旋转。转向是相反的托马斯之交和有少许不同的措施，当速度非常小。我们运用这些匀速圆周运动（UCM）和用于氢原子（H），考虑到质子（P）是不为所动观察者O和实验室观察员O”有无穷的速度。微扰理论（PT）我们计算的原子光谱的精细结构峰的位置。结果是改善了，不仅比这提取使用P.狄拉克理论，而且比使用L. H.托马斯法提取。

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