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arXiv quant-ph/0510123quant-ph
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描述洛仑兹不变性短期违反的不确定关系:超光速现象,粒子变换

Uncertainty relations describing the short-term violations of Lorentz invariance: superluminal phenomena, particles transformations

M. E. Perel'man

摘要:

时间-能量不确定性关系的细化和规范表明,实验观察到的超光速信号现象可以用以下形式描述:$ΔEΔτ\geqπ\hbar$,其中两个标准差都是负的。当$Δτ<0$时,这些瞬逝光子会立即从一个光锥隧穿到距离为$c| Δτ| $的另一个光锥。(This断言,先前通过色散关系证明,在这里由过程的时间参数描述。在$K^{0}$和$B^{0}$的情况下,以及在$ν$的嬗变中,这些关系的特殊形式描述了粒子嬗变成质量更大的伙伴。因此,倏逝粒子对相对论因果关系的破坏可以被认为是隧道效应,类似于虚跃迁时对守恒定律的短期破坏。在这种跃迁中没有洛仑兹不变性,很可能会破坏其他一些对称性。

英文摘要:

The refinement and specifications of time-energy uncertainty relations have shown that the experimentally observed phenomena of superluminal signaling are describable by such their form: $ΔEΔτ\geqπ\hbar$, where both standard deviations are negative. When $Δτ<0$, these evanescent photons would be instantly tunneling from one light cone into another on the distance $c| Δτ| $. (This assertion, previously proved via dispersion relations, is described here by the temporal parameters of process.) Special forms of these relations describe the transmutation of particles into their partners of bigger mass, in $K^{0}$ and $B^{0}$ cases and at the $ν$'s transmutations. Thus, the violations of relativistic causality by evanescent particles can be considered as the tunneling, as an analog of the short-term violation of conservation laws at virtual transitions. The absence of Lorentz invariance at such transitions can, probably, allow violations of some other symmetries.

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