论文标题
变化越多，它们保持不变：最小长度具有不变的不确定性原则和分散关系
The more things change the more they stay the same: Minimum lengths with unmodified uncertainty principle and dispersion relation
论文作者
论文摘要
广泛的论点表明，量子重力应具有最小的长度尺度。在本文中，我们通过概括时间位置和能量操作员来构建最小长度模型，同时保持量子力学和相对性完整的大部分结构：标准位置 - 摩托米人交换器，特殊的相对论时间位置以及能量摩托明的关系都保持不变。由于修改后的运算符的时间位置和能量摩托车关系保持不变，因此我们保留了Lorentz对称形式。这避免了对这些理论的限制，这些理论来自缺乏光子分散体，同时保持了超高能宇宙射线的Greisen-Zatsepin-Kuzmin（GZK）拼图。
Broad arguments indicate that quantum gravity should have a minimal length scale. In this essay we construct a minimum length model by generalizing the time-position and energy-momentum operators while keeping much of the structure of quantum mechanics and relativity intact: the standard position-momentum commutator, the special relativistic time-position, and energy-momentum relationships all remain the same. Since the time-position and energy-momentum relationships for the modified operators remains the same, we retain a form of Lorentz symmetry. This avoids the constraints on these theories coming from lack of photon dispersion while holding the potential to address the Greisen-Zatsepin-Kuzmin (GZK) puzzle of ultra high energy cosmic rays.
