论文标题

对海森堡原则的相对论纠正的理论和现象学

Theory and phenomenology of relativistic corrections to the Heisenberg principle

论文作者

Amelino-Camelia, Giovanni, Astuti, Valerio

论文摘要

海森伯格位置 - 摩托明不确定性原则与等效原则分享了我们当前对自然描述的主要支柱的作用。但是,在其最初的表述中,它与特殊的相对性不一致,在近一个世纪的调查中,对重新进行的重新重新制定并没有取得太大的进展。在超高速度方面已经获得了一些部分洞察力,但仍缺少完整的描述,特别是我们对颗粒的中间状态没有任何线索,这些颗粒的中间状态比光速远小得多,但仍然足够高,无法与Heisenberg公式有形地出现。当我们在这里强调时,中级政权也是我们通过实验测试我们对特殊相对性对不确定性原理的含义的理解的最佳机会。我们在这里引入了一种针对这些挑战的新方法,主要是基于这样的观察结果:在给定时间,粒子的唯一手术概念涉及该粒子的世界线与测试粒子的世界线交叉。我们发现,全世界的透视视角为不确定性原理的特殊相关版本打开了一条途径,这确实可以在实验中进行测试。

The Heisenberg position-momentum uncertainty principle shares with the equivalence principle the role of main pillar of our current description of nature. However, in its original formulation it is inconsistent with special relativity, and in nearly a century of investigation not much progress has been made toward a satisfactory reformulation. Some partial insight has been gained in the ultra-high-velocity regime but a full description is still missing and in particular we have no clue about the intermediate regime of particles whose speeds are much smaller than the speed of light but still high enough for tangible departures from the Heisenberg formulation to be present. As we stress here, that intermediate regime is also our best chance for testing experimentally our understanding of the implications of special relativity for the uncertainty principle. We here introduce a new approach to these challenges, based mainly on the observation that the only operative notion of position of a particle at a given time involves the crossing of the worldline of that particle with the worldline of a test particle. We find that the worldline-crossing perspective opens a path toward a special-relativistic version of the uncertainty principle, which indeed could be tested experimentally.

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