基本的Leggett不等式与量子理论并不矛盾，classical physics
The basic Leggett inequalities don't contradict the quantum theory, neither the classical physics
摘要：
基本的Leggett不等式，即那些尚未引入Leggett隐变量模型（例如Malus定律）的特定假设的不等式，通常使用概率的隐变量分布导出（尽管在某些情况下完全通用，正概率会导致相同的结果）。这一事实有时会造成一种错觉，即这些基本不等式是隐变量理论的一种，必然与量子理论相矛盾。在本文中，基本的Leggett不等式是以最一般的方式导出的，即没有假设概率分布是由某个波函数或某组经典变量产生的。其结果是，只要在计算基本莱格特不等式中出现的所有平均值时使用同一个概率分布，就不会发生矛盾。这些不等式只有当不同的平均值用不同的分布计算时才可能被违反，例如，其中一些平均值用量子形式主义计算，而另一些平均值用经典参数的某种分布计算。
英文摘要：
The basic Leggett inequalities, i.e. those inequalities in which the particular assumptions of Leggett's hidden-variable model (e.g. Malus law) were not yet introduced, are usually derived using hidden-variable distributions of probabilities (although in some cases completely general, positive probabilities would lead to the same result). This fact creates sometimes the illusion that these basic inequalities are a belonging of the hidden-variable theories and are bound to contradict the quantum theory. In the present text the basic Leggett inequalities are derived in the most general way, i.e. no assumption is made that the distribution of probabilities would result from some wave function, or from some set of classical variables. The consequence is that as long as one and the same probability distribution is used in the calculus of all the averages appearing in the basic Leggett inequalities, no contradiction may occur. These inequalities may be violated only when different averages are calculated with different distributions, for example, some of them calculated with the quantum formalism and the others with some distribution of classical parameters.
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