The study of the damped harmonic oscillator shows that dissipation could be seen at the origin of the zero point energy, which is the signature of quantum behavior. This is in accord with ’t Hooft proposal that loss of information in a completely deterministic dynamics would play a rôle in the quantum mechanical nature of our world. We show the equivalence, within quite general conditions, between the pair of a damped oscillator and its time-reversed image and electrodynamics. The ground state of the damped-amplified oscillator pair appears to be a finite temperature coherent two-mode squeezed state with fractal self-similarity properties and the modes are maximally entangled. Temperature is strictly related to the zero point energy.

中文翻译：

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耗散、相干和纠缠

对阻尼谐振子的研究表明，在零点能量的起源处可以看到耗散，这是量子行为的特征。这与't Hooft 的提议一致，即在完全确定的动力学中信息丢失将在我们世界的量子力学性质中发挥作用。我们展示了在非常一般的条件下，一对阻尼振荡器与其时间反转图像和电动力学之间的等价性。阻尼放大振荡器对的基态似乎是具有分形自相似特性的有限温度相干双模压缩态，并且模态被最大程度地纠缠。温度与零点能量严格相关。