RUI: Impact of Negative Energy in General Relativity and Quantum Field Theory

该奖项支持一项研究项目，该项目旨在研究一种非常不寻常的能源的含义。这种所谓的“负能量”的存在是量子场论定律所允许的，它描述了物质和能量在微观尺度上的行为。负能量也会产生排斥力效应。在实验室中已经产生了涉及负能量的情况，如卡西米尔效应和光的压缩状态。然而，在这些实验中产生的负能量极其微小，因此无法直接测量。然而，如果物理定律没有对负能量施加限制，那么人们可能会创造出大量的负能量，从而产生奇怪的宏观效应。这样的影响可能包括：可穿越的虫洞(连接其他遥远的空间和时间区域的隧道)，曲速驱动器(用于超光速旅行)，穿越过去的时间机器，违反热力学第二定律(例如，冰箱不需要电源)，以及黑洞的破坏(坍塌的死亡恒星的遗骸)。然而，L.Ford(塔夫茨大学)的研究。十多年来的PI表明，量子场论确实对负能量施加了一些相当强的限制。这些限制被称为“量子不平等”，对上面提到的可能的宏观效应产生了严重的限制，因为它们意味着大的负能量只能在很短的时间内存在。到目前为止所获得的理论结果表明，在空间中，负能量一定与正能量微妙地交织在一起。一个悬而未决的问题是，总的来说，这必须在多大程度上是正确的。部分研究将集中在缩小负能量分布之间的差距，这些负能量分布是可以排除的，也是肯定允许的。主要的重点将是研究涉及负能量的量子态，这种量子态可以用量子光学技术产生。这项研究的一个相关但规模较小的部分将致力于研究负能量、能量守恒和黑洞蒸发和可能的破坏之间的联系。这项工作位于三个重要物理学领域的交叉点，并对其产生深刻影响：量子场论、爱因斯坦的引力理论(广义相对论)和热力学。这项研究的一个主要目标是在这项关于负能量的工作和迅速发展的量子光学领域之间建立更紧密的联系。这两个物理学领域之间的这种联系可能会允许对负能量的间接影响进行实验测试。在过去的十年里，一个规模不大但非常活跃的关于负能量主题的国际研究小组正在成长。计划让本科生参与这个项目。

This award supports a research project to study the implications of a very unusual form of energy. The existence of this so-called ``negative energy'' is allowed by the laws of quantum field theory, which describe the behavior of matter and energy on microscopic scales. Negative energy would also have repulsive gravitational effects. Situations involving negative energy, such as the Casimir effect and squeezed states of light, have been produced in the laboratory. However, the amounts of negative energy generated in these experiments are extremely tiny and hence not directly measurable. However, if the laws of physics impose no constraints on negative energy, then one might be able to create large amounts of it and thereby produce bizarre macroscopic effects. Such effects could include: traversable wormholes (tunnels connecting otherwise distant regions of space and time), warp drives (for faster-than-light travel), time machines for travel into the past, violations of the second law of thermodynamics (e.g., refrigerators requiring no power sources), and the destruction of black holes (the remains of collapsed dead stars). However, research by L. Ford (Tufts U.) and the PI over more than a decade has shown that quantum field theory does impose some rather strong restrictions on negative energy. These constraints have come to be known as ``quantum inequalities,'' and yield severe limitations on the possible macroscopic effects mentioned above because they imply that large negative energies can exist for only short periods of time. The theoretical results obtained to date indicate that negative energy must be subtly intertwined with positive energy in space. An unanswered question is to what extent this must be true in general. Part of the research will be focused on narrowing the gap between distributions of negative energy which can be ruled out and those which are definitely allowed. The primary emphasis will be on a study of quantum states which involve negative energy and which can be produced using the techniques of quantum optics. A related, but smaller, part of the research will aim to study the connections between negative energy, energy conservation, and the evaporation and possible destruction of black holes.This work lies at the intersection of, and deeply impacts, three important areas of physics: quantum field theory, Einstein's theory of gravity (general relativity), and thermodynamics. A primary goal of this research is to establish closer ties between this work on negative energy and the rapidly growing field of quantum optics. Such a link between these two areas of physics might allow experimental tests of at least the indirect effects of negative energy. The last ten years have seen the growth of a small but very active international group of researchers on the subject of negative energy. It is planned to involve undergraduates in this project.