论文标题
超越量子重力的出生规则
Beyond the Born rule in quantum gravity
论文作者
论文摘要
我们最近对量子重力的概率有了新的了解。在本文中，我们概述了这种新方法及其含义。采用de Broglie-bohm的量子物理学试点波制剂，我们认为在量子重力的基本水平上没有出生的规则，具有不可差的Wheeler-Dewitt Wave Wave功能$ψ$。取而代之的是，宇宙处于量子非平衡的永久状态，概率密度$ p \ neq \ left \ vertψ\ right \ vert \ vert ^{2} $。天生规则的动态放松只有在早期宇宙出现在半经典或schrödinger近似之后，对于经典的时空背景上的非重力系统，具有时间依赖于时间依赖和正常的波功能$ψ$。在这种制度中，概率密度$ρ$可以放松$ \ weft \ vertψ\ right \ vert ^{2} $（在粗粒级别上）。因此，引力的飞行波理论支持原始量子非平衡的假设，并在大爆炸后不久就会放松出生的规则。我们还表明，对schrödinger近似的量子重新校正允许量子notum nonquilibium $ρ\ neq \ left \ left \ vertψ\ right \ right \ vert ^{2} $由以前的平衡创建（$ρ= \ left \ left \ weft \ welet \ vert \ pertψ\ right \ right \ vert \ vert ^{2} $）。这种效果在实践中很小，难以观察。
We have recently developed a new understanding of probability in quantum gravity. In this paper we provide an overview of this new approach and its implications. Adopting the de Broglie-Bohm pilot-wave formulation of quantum physics, we argue that there is no Born rule at the fundamental level of quantum gravity with a non-normalisable Wheeler-DeWitt wave functional $Ψ$. Instead the universe is in a perpetual state of quantum nonequilibrium with a probability density $P\neq\left\vert Ψ\right\vert ^{2}$. Dynamical relaxation to the Born rule can occur only after the early universe has emerged into a semiclassical or Schrödinger approximation, with a time-dependent and normalisable wave functional $ψ$, for non-gravitational systems on a classical spacetime background. In that regime the probability density $ρ$ can relax towards $\left\vert ψ\right\vert ^{2}$ (on a coarse-grained level). Thus the pilot-wave theory of gravitation supports the hypothesis of primordial quantum nonequilibrium, with relaxation to the Born rule taking place soon after the big bang. We also show that quantum-gravitational corrections to the Schrödinger approximation allow quantum nonequilibrium $ρ\neq\left\vert ψ\right\vert ^{2}$ to be created from a prior equilibrium ($ρ=\left\vert ψ\right\vert ^{2}$) state. Such effects are very tiny and difficult to observe in practice.
