论文标题

如何量化重力以及如何不量化重力

How to quantize gravity and how not to quantize gravity

论文作者

Mannheim, Philip D.

论文摘要

以电磁为范式的量化为范式,我们展示了该过程如何适用于爱因斯坦重力。但是,它确实适用于保形重力,这是Bender和Mannheim证明是无鬼魂的第四阶衍生,可重新分布的重力理论。我们表明,在任何重力理论中,都不能按规范进行量化。相反,由于重力的零点能量与物质源的相互作用,重力纯粹是通过其与量化物质源的耦合量化的,重力本质上是量子机械的。以这种方式处理零点能量为宇宙常数问题提供了解决方案。由于标准爱因斯坦重力忽略了重力零点能量问题,因此无法解决标准重力中的宇宙学恒定问题,因为没有零点的贡献重力不知道零能量在哪里。

Taking the quantization of electromagnetism as the paradigm, we show how this procedure cannot work for Einstein gravity. However, it does work for conformal gravity, a fourth-order derivative, renormalizable theory of gravity that Bender and Mannheim have shown to be ghost free. We show that in any gravity theory gravity cannot be quantized canonically. Rather, because of an interplay between the zero-point energy of gravity and that of its matter source, gravity is quantized purely by its coupling to a quantized matter source, with gravity being intrinsically quantum mechanical. Treating the zero-point energy this way provides a solution to the cosmological constant problem. With the gravitational zero-point energy issue having been ignored in standard Einstein gravity, it is not possible to solve the cosmological constant problem in standard gravity, since without the zero-point contribution gravity does not know where the zero of energy is.

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