无色散环境中通过时间干涉实现的超声速与超光速能量及信息速度
Supersonic and Superluminal Energy and Speed of Information via Temporal Interference in a Dispersionless Environment
AI总结：
本研究通过数值模拟发现无色散介质中直达与反射声波的时间干涉可产生超声速峰间速度，证明其信息速度不超过光速、不违反相对论，且结果可推广至电磁波并易实验验证。
摘要：
对一项理论的数值实现得到了声波包，由于直达路径与边界反射路径之间的时间干涉，其峰间速度$c_{3d}$在无色散介质中达到超声速。该效应发生在源与接收器相距较近，且至少有一个位于边界的$c\ ilde{δt}/2$范围内时，其中$c$是介质中传播的相速度，$\ ilde{δt}$是首次发生干涉时路径之间的最小时间间隔。这种直达+反射路径效应不同于此前观测到的超光速现象与理论，包括量子隧穿、腔真空涨落以及由反常色散导致的群速度。对于发生时间干涉的直达+反射路径，模拟得到的信息速度小于$c$。来自干涉路径的信息速度可以超过仅沿直达路径传播推导得到的速度。我们推测这些结果也适用于电磁（EM）波传播。若果真如此，我们证明了信息速度小于或等于真空中的光速，因此该效应不违反狭义相对论。这些理论与模拟结果，以及推测的电磁学扩展，应易于通过实验验证。
英文摘要：
Numerical implementation of a theory yields acoustic wave packets whose peak-to-peak speeds, $c_{3d}$, are supersonic in a dispersionless medium due to temporal interference between direct and boundary-reflected paths. The effect occurs when the source and receiver are near each other and at least one is within $c\tilde{δt}/2$ of the boundary, where $c$ is the phase speed of propagation in the medium, and $\tilde{δt}$ is the smallest temporal separation between the paths at which interference first occurs. This direct+reflected path effect is distinct from previously-observed superluminal phenomena and theories including quantum tunneling, cavity vacuum fluctuations, and group speeds due to anomalous dispersion. For temporally interfering direct+reflected paths, simulations yield a speed of information less than $c$. The speed of information from the interfering paths can exceed the speed derived from propagation only along the direct path. We conjecture these results will also hold for electromagnetic (EM) wave propagation. If so, we prove the speed of information is less than or equal to the speed of light in a vacuum, so the effect does not violate special relativity. These theoretical and simulation results, as well as their conjectured EM extension, should be readily accessible to experimental verification.
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