Alvim Yuri J, Céleri Lucas C
QPequi Group, Institute of Physics, Federal University of Goiás, Goiânia 74690-900, Goiás, Brazil.
Entropy (Basel). 2024 Jul 22;26(7):613. doi: 10.3390/e26070613.
The problem of formulating thermodynamics in a relativistic scenario remains unresolved, although many proposals exist in the literature. The challenge arises due to the intrinsic dynamic structure of spacetime as established by the general theory of relativity. With the discovery of the physical nature of information, which underpins Landauer's principle, we believe that information theory should play a role in understanding this problem. In this work, we contribute to this endeavour by considering a relativistic communication task between two partners, Alice and Bob, in a general Lorentzian spacetime. We then assume that the receiver, Bob, reversibly operates a local heat engine powered by information, and seek to determine the maximum amount of work he can extract from this device. As Bob cannot extract work for free, by applying both Landauer's principle and the second law of thermodynamics, we establish a bound on the energy Bob must spend to acquire the information in the first place. This bound is a function of the spacetime metric and the properties of the communication channel.
尽管文献中有许多提议，但在相对论情形下构建热力学的问题仍未得到解决。这一挑战源于广义相对论所确立的时空固有动力学结构。随着支撑兰道尔原理的信息物理本质的发现，我们认为信息论应在理解这一问题中发挥作用。在这项工作中，我们通过考虑在一般洛伦兹时空里两个参与者爱丽丝和鲍勃之间的相对论通信任务，为这一努力做出贡献。然后我们假设接收者鲍勃可逆地操作一个由信息驱动的局部热机，并试图确定他能从该装置提取的最大功量。由于鲍勃不能免费提取功，通过应用兰道尔原理和热力学第二定律，我们首先确定了鲍勃为获取信息必须花费的能量界限。这个界限是时空度规和通信信道特性的函数。
