论文标题
对真空中磁性双折射的最小长度校正
Minimal length corrections to magnetic birefringence in vacuum
论文作者
论文摘要
储层计算是预测湍流的有力工具，其简单的架构具有处理大型系统的计算效率。然而，其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间，然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用，该系统模拟了湍流的若干特征。我们表明，使用径向基函数作为非线性投影器，即使只有部分观测并且不知道控制方程，也能稳健地捕捉复杂的系统非线性。最后，我们表明，当测量稀疏、不完整且带有噪声，甚至控制方程变得不准确时，我们的网络仍然可以产生相当准确的预测，从而为实际湍流系统的无模型预测铺平了道路。
We consider the modification to Kruglov's non-linear electrodynamics in the presence of minimal length ($l_p$), by considering a specific formulation of generalized uncertainty principle (GUP). The presence of minimal length has been motivated by several candidate theories of quantum-gravity (both perturbative and non-perturbative). We show that, such minimal length modifications could lead to momentum dependent bounds on zero-point electric field strength, for the aforementioned non-linear model of electrodynamics. We further show that, the existence of minimal length modifies the measure of vacuum birefringence $Δn$ in a constant and uniformly strong, external magnetic field. We therefore suggest, the presence of a frictional mechanism of fundamental origin, acting in the parallel direction of polarization of photons (in the presence of strong magnetic field), as an additional effect of quantized background.
