Using T-duality, we will argue that a zero point length exists in the low-energy effective field theory of string theory on compactified extra dimensions. Furthermore, if we neglect all the oscillator modes, this zero point length would modify low quantum mechanical systems. As this zero length is fixed geometrically, it is important to analyze how it modifies purely quantum mechanical effects. Thus, we will analyze its effects on quantum erasers, because they are based on quantum effects like entanglement. It will be observed that the behavior of these quantum erasers gets modified by this zero point length. As the zero point length is fixed by the radius of compactification, we argue that these results demonstrate a deeper connection between geometry and quantum effects.

中文翻译：

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紧缩、T对偶和量子擦除器

使用 T 对偶，我们将论证弦理论的低能有效场论中存在紧致额外维度上的零点长度。此外，如果我们忽略所有的振荡器模式，这个零点长度会改变低量子力学系统。由于这个零长度在几何上是固定的，因此分析它如何修改纯量子力学效应非常重要。因此，我们将分析它对量子擦除器的影响，因为它们是基于纠缠等量子效应。可以观察到，这些量子擦除器的行为会被这个零点长度修改。由于零点长度由紧化半径固定，我们认为这些结果证明了几何和量子效应之间的更深层次的联系。