论文标题
重新审视速旋狄拉克方程
Tachyonic Dirac Equation Revisited
论文作者
论文摘要
在本文中,我们重新审视了速度狄拉克方程式制定的两种理论方法。从洛伦兹不变的拉格朗日(Lorentiant Lagrangian)符合与太空般的四摩托姆(Spacelike)一致的洛伦兹(Lorentz),第一种方法在限制相对论的理论中起作用。第二种方法采用了扩展到静脉运动的相对论理论,并直接通过洛伦兹级转换直接在普通的狄拉克方程上工作。这两种方法产生的方程式显示出大部分不同(即使不是相反)的属性。特别是,第一个方程式违反了平等和指控共轭操作的行动下的不变性。尽管它是描述类似太空粒子的动力学的良好数学工具,但它也表明平均粒子速度是跨膜的。相反,在奇偶校验和电荷共轭对称的作用下,第二个方程是不变的,但是它所描述的粒子与tachyon的经典动力学一致。这项研究表明,当前可用的理论不可能制定协变量方程,该方程相干地描述了Tachyons物理框架中的中微子,并且根据实验,应使用一个方程而不是另一个方程式。
In this paper, we revisit the two theoretical approaches for the formulation of the tachyonic Dirac equation. The first approach works within the theory of restricted relativity, starting from a Lorentz invariant Lagrangian consistent with a spacelike four-momentum. The second approach uses the theory of relativity extended to superluminal motions and works directly on the ordinary Dirac equation through superluminal Lorentz transformations. The equations resulting from the two approaches show mostly different, if not opposite, properties. In particular, the first equation violates the invariance under the action of the parity and charge conjugation operations. Although it is a good mathematical tool to describe the dynamics of a space-like particle, it also shows that the mean particle velocity is subluminal. In contrast, the second equation is invariant under the action of parity and charge conjugation symmetries, but the particle it describes is consistent with the classical dynamics of a tachyon. This study shows that it is not possible with the currently available theories to formulate a covariant equation that coherently describes the neutrino in the framework of the physics of tachyons, and depending on the experiment, one equation rather than the other should be used.