Department of Physics, Syracuse University, Syracuse, New York 13244-1130, USA.
Phys Rev Lett. 2010 Jul 30;105(5):051601. doi: 10.1103/PhysRevLett.105.051601. Epub 2010 Jul 26.
The consideration of noncommutative spacetimes in quantum theory can be plausibly advocated from physics at the Planck scale. Typically, this noncommutativity is controlled by fixed "vectors" or "tensors" with numerical entries like θμν for the Moyal spacetime. In approaches enforcing Poincaré invariance, these deform or twist the method of (anti)symmetrization of identical particle state vectors. We argue that the Earth's rotation and movements in the cosmos are "sudden" events to Pauli-forbidden processes. This induces (twisted) bosonic components in state vectors of identical spinorial particles. These components induce non-Pauli transitions. From known limits on such transitions, we infer that the energy scale for noncommutativity is ≳10(24) TeV. This suggests a new energy scale beyond the Planck scale.
在量子理论中考虑非对易时空,可以从普朗克尺度的物理上得到合理的支持。通常,这种非对易性是由固定的“向量”或“张量”控制的,例如 Moyal 时空中的θμν。在强制满足庞加莱不变性的方法中,这些方法会改变或扭曲相同粒子态矢量的(反)对称化方法。我们认为,地球的自转和在宇宙中的运动对保罗禁止的过程来说是“突然”的事件。这会在相同旋量粒子的态矢量中引入(扭曲的)玻色分量。这些分量会引起非保罗跃迁。从已知的这种跃迁的限制中,我们推断出非对易性的能量标度≳10(24) TeV。这表明存在一个超越普朗克尺度的新能量标度。