Hunting quanta

Hunting quanta
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狩猎量子

DOI:
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发表时间:
1974
期刊:
Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences
影响因子:
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通讯作者:
D. Kendall
D. Kendall
中科院分区:
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文献类型:
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作者:
D. Kendall

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Thom 认为巨石遗址的许多尺寸都可以用 6.44 英尺(1.66 m)的量来表示。 Broadbent (1955, 1956) 在先驱论文中研究了在事先未知量子大小的情况下检测量子的问题。随着现在可用的证据数量大大增加,似乎需要对这个问题进行新的攻击,并且这里将概述一种基于傅里叶分析的新方法。对于足够大小的样本,测试量子的存在相当于测试高斯随机过程的实现的一部分,在时移下保持静止,是否存在过大的上界。如果测试不会受到先前有关“鸡蛋”、“风扇”等配件的决定的影响,则只能使用来自圆直径的数据。这减少了样本量,因此渐近理论必须通过模拟数据(有或没有内置量子效应)运行的“蒙特卡罗”来补充。似乎已经很清楚,对分析中使用的数据集达成一致是对量子假设进行决定性检验的重要先决条件。
Thom considers that many of the dimensions of megalithic sites can be expressed in terms of a quantum of 6.44 ft (1.66 m). The problem of detecting a quantum when its size is not known in advance has been studied in pioneer papers by Broadbent (1955, 1956). With the greatly increased volume of evidence now available, a renewed attack on this problem seems called for, and a new approach, based on a Fourier analysis, will be outlined here. With samples of sufficient size, testing for the presence of a quantum is equivalent to testing a section of a realization of a Gaussian stochastic process, stationary under time shifts, for an unduly large supremum. If the test is not to be prejudiced by prior decisions about the fittings of ‘eggs’, ‘fans’, etc., then only data from circle-diameters can be used. This reduces the sample size, and so the asymptotic theory has to be supplemented by ‘ Monte Carlo ’ runs with simulated data (with and without a built-in quantum effect). It already seems clear that agreement on the data-set to be used in the analysis is the vital prerequisite for a decisive test of the quantum hypothesis.