论文标题
天生规则:量子概率为经典概率
Born rule: quantum probability as classical probability
论文作者
论文摘要
我提供了对诞生规则的简单推论,即给出了经典的概率,即系统中有利状态的度量与其总可能状态的量度之比。 在经典系统中,概率是由于以下事实:相同的宏观物质可以作为微晶格以不同的方式实现。尽管量子系统和经典系统之间存在根本差异,但我表明它可以应用于量子系统,结果是出生的规则。 仅当基础是连续的(具有连续光谱的可观察物的特征性)时才起作用,但是所有已知的物理现实测量均涉及连续的基础(位置基础)。 连续的基础不是唯一的,对于子系统而言,它取决于可观察到的。 但是对于整个宇宙来说,有一些连续的基础为所有测量提供了诞生的规则,因为所有测量值都减少了宏观指针状态和宏观观测通勤。这允许为整个宇宙建立独特的基础。 在波功能的公式中,可以选择基础由经典的字段配置组成,并且可以通过将它们吸收到全局u(1)仪表中来实现$ψ[ϕ] $。 对于许多世界的解释,此结果赋予了微分支计数的诞生规则。
I provide a simple derivation of the Born rule as giving a classical probability, that is, the ratio of the measure of favorable states of the system to the measure of its total possible states. In classical systems, the probability is due to the fact that the same macrostate can be realized in different ways as a microstate. Despite the radical differences between quantum and classical systems, I show that the same can be applied to quantum systems, and the result is the Born rule. This works only if the basis is continuous (an eigenbasis of observables with continuous spectra), but all known physically realistic measurements involve a continuous basis (the position basis). The continuous basis is not unique, and for subsystems it depends on the observable. But for the entire universe, there are continuous bases that give the Born rule for all measurements, because all measurements reduce to distinguishing macroscopic pointer states, and macroscopic observations commute. This allows for the possibility of a unique ontic basis for the entire universe. In the wavefunctional formulation, the basis can be chosen to consist of classical field configurations, and the coefficients $Ψ[ϕ]$ can be made real by absorbing them into a global U(1) gauge. For the many-worlds interpretation, this result gives the Born rule from micro-branch counting.