论文标题
量子Euler角度和代理依赖的时空
Quantum Euler angles and agency-dependent spacetime
论文作者
论文摘要
量子重力有望将量子方面引入参考帧的描述。在这里，我们为探索量子重力引起的经典对称性变形如何改变有效制度中参考框架之间的转换定律的阶段奠定了基础。我们调用量子组$ su_q（2）$作为变形空间旋转的描述，并解释其代数的表示状态为描述两个参考帧之间的相对方向。这导致了一个欧拉角之一的量化和代理依赖性的新范式：空间被重建为模糊点的集合（每个代理都独有），这取决于其参考框架的选择。每个代理只能选择一个方向，在哪个方向上可以是尖锐的，而所有其他方向的点都以取决于此选择的方式变得模糊。因此，两个做出不同选择的代理将以不同程度的模糊性观察相同的点。
Quantum gravity is expected to introduce quantum aspects into the description of reference frames. Here we set the stage for exploring how quantum gravity induced deformations of classical symmetries could modify the transformation laws among reference frames in an effective regime. We invoke the quantum group $SU_q(2)$ as a description of deformed spatial rotations and interpret states of a representation of its algebra as describing the relative orientation between two reference frames. This leads to a quantization of one of the Euler angles and to the new paradigm of agency-dependence: space is reconstructed as a collection of fuzzy points, exclusive to each agent, which depends on their choice of reference frame. Each agent can choose only one direction in which points can be sharp, while points in all other directions become fuzzy in a way that depends on this choice. Two agents making different choices will thus observe the same points with different degrees of fuzziness.
