论文标题
花粉和电子：随机研究
The pollen and the electron: a study in randomness
论文作者
论文摘要
一杯水中花粉谷物的随机运动显然是如此。它是由基本的确定性运动 - 与谷物碰撞的水分子的粗糙确定性运动所致。在较小的尺度上观察到的自由度无法使确定性进化在较大的尺度上显得不确定。在本文中，我们试图使量子不确定性以类似的方式产生，这是由于在普朗克量表上的确定性（但非独立）进化而产生的。痕量动力学理论描述了潜在的进化，这是一种确定性的矩阵动力学，量子理论及其不确定性是出现的。该理论的结果之一是karolyhazy的不确定性关系，这意味着与其他研究人员所指出的那样，它与计算速度的普遍性结合。
The random motion of a pollen grain in a glass of water is only apparently so. It results from coarse-graining an underlying deterministic motion - that of the molecules of water colliding with the grain. Not observing degrees of freedom on smaller scales can make deterministic evolution appear indeterministic on larger scales. In this essay we attempt to make the case that quantum indeterminism arises in an analogous manner, from coarse-graining a deterministic (but non-unitary) evolution at the Planck scale. The underlying evolution is described by the theory of trace dynamics, which is a deterministic matrix dynamics from which quantum theory and its indeterminism are emergent. One consequence of the theory is the Karolyhazy uncertainty relation, which implies a universal upper bound to the speed of computing, as noted also by other researchers.
