论量子引力的性质
On the nature of quantum gravity
摘要:
最近有人提出,Unruh效应源于量子时空中的量子场论的研究。将量子时空等同于一种新的量子场--加速场的希尔伯特空间,加速场定义在动量空间中。在这项工作中,我们认为,这些领域之间的相互作用提供了一个明确的区别平坦和弯曲的时空。自由加速场与平坦时空相关联,而相互作用加速场与弯曲时空相关联。我们的直觉,量子引力产生通过场的相互作用,验证了调用量子统计。通过研究加速场的类昂鲁效应,我们证明了任何大质量物体在与其质量成反比的温度下都表现为黑体,辐射时空量子。通过一个启发式的论证,证明了霍金辐射在时空量子化的理论中是自然产生的。最后,在热力学方面,重力可以用热力学第二定律保证的熵力来确定。
英文摘要:
It was recently advanced the argument that Unruh effect emerges from the study of quantum field theory in quantum space-time. Quantum space-time is identified with the Hilbert space of a new kind of quantum fields, the accelerated fields, which are defined in momentum space. In this work, we argue that the interactions between such fields offer a clear distinction between flat and curved space-times. Free accelerated fields are associated with flat spacetime, while interacting accelerated fields with curved spacetimes. Our intuition that quantum gravity arises via field interactions is verified by invoking quantum statistics. Studying the Unruh-like effect of accelerated fields, we show that any massive object behaves as a black body at temperature which is inversely proportional to its mass, radiating space-time quanta. With a heuristic argument, it is shown that Hawking radiation naturally arises in a theory in which space-time is quantized. Finally, in terms of thermodynamics, gravity can be identified with an entropic force guaranteed by the second law of thermodynamics.
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