量子实在、复数与气象蝴蝶效应
Quantum Reality, Complex Numbers and the Meteorological Butterfly Effect
摘要：
这篇论文的一个不太技术性的版本：“一个基于颗粒置换的复数和四元数表示：现实量子理论的元素“-Proc。A（2004）460，1039-1055。引入“气象蝴蝶效应”这一短语是为了说明，不是在低维混沌中常见的可预测性损失，而是在某些多尺度系统中与不确定性的高档转移相关的有限时间可预测性视界的不太熟悉和更激进的范式。这激发了一种新的重新解释单位复数（和四元数）的家庭自相似置换算子。一个现实的确定性运动学的基础上的量子理论的重新表述，使用这种重新解释的复数。利用物理学中通常不会遇到的余弦函数的性质，即对于0和π/2之间的所有二元有理角都是无理的，这种重新表述被证明具有反事实不确定性的涌现性质，因此不是非局部因果的。
英文摘要：
A not-too-technical version of the paper: "A Granular Permutation-based Representation of Complex Numbers and Quaternions: Elements of a Realistic Quantum Theory" - Proc. Roy. Soc.A (2004) 460, 1039-1055. The phrase "meteorological butterfly effect" is introduced to illustrate, not the familiar loss of predictability in low-dimensional chaos, but the much less familiar and much more radical paradigm of the finite-time predictability horizon, associated with upscale transfer of uncertainty in certain multi-scale systems. This motivates a novel reinterpretation of unit complex numbers (and quaternions) in terms of a family of self-similar permutation operators. A realistic deterministic kinematic reformulation of the foundations of quantum theory is given using this reinterpretation of complex numbers. Using a property of the cosine function not normally encountered in physics, that it is irrational for all dyadic rational angles between 0 and pi/2, this reformulation is shown to have the emergent property of counterfactual indefiniteness and is therefore not non-locally causal.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
