Title: Using Cosmology to Establish the Quantization of Gravity
Authors: Lawrence M. Krauss and Frank Wilczek
First Author’s Institution: Department of Physics, Arizona State University
The prevailing description of the early universe involves a period of exponential expansion, known as inflation, beginning about 10-36 seconds after the Big Bang. During this expansion, which lasted just a tiny fraction of a second, the volume of the Universe increased by at least a factor of 1078, making microscopic density fluctuations astronomically large. This rapid expansion solves several problems with the standard cosmological picture, including the near-perfect uniformity of the CMB temperature and the Universe’s nearly flat spatial geometry. Astronomers have strong evidence for the occurrence of inflation; all relevant observations are consistent with the predictions of inflation, but they do not yet provide direct, conclusive evidence for inflation.
The “smoking gun” for inflation would come from a measurement of the gravitational waves that are believed to be generated during the inflationary expansion. These waves are ripples in space-time and are a standard prediction of the theory of general relativity. They are believed to be composed of gravitons, just as electromagnetic waves are composed of photons. Gravitational waves are also produced during the merging of extremely massive objects (like black holes or neutron stars), and the prospects for measuring the waves from a merging event in the coming decade are promising. However, it is believed that such a gravitational wave detector would be unable to detect a single graviton, as the sensitivity required is well beyond practical limits. This is where the CMB comes in handy.
Inflationary gravitational waves leave a distinct imprint on the photons of the CMB by changing the polarization of the radiation. CMB light waves do not oscillate in a random direction (known as unpolarized), but rather with specific patterns, known as E-modes and B-modes (see the figure to the left). The E-mode pattern arises from the Thomson scattering between the CMB photons and electrons in the early universe, while B-modes can arise from two effects: either inflationary gravitational waves or the gravitational lensing of the CMB. Recently, the B-mode polarization of the CMB caused by lensing was detected for the first time (see this astrobite for a quick summary). Several experiments are currently hunting for the inflationary B-mode signal, and it is one of the most exciting experimental areas in astronomy today. Such a detection would not only provide the smoking gun for inflation but also for the quantization of gravity.How exactly would the detection of inflationary gravitational waves prove the quantization of gravity? The key point is that inflation involves quantum-mechanical density fluctuations that are stretched to astronomical scales, and these quantum fluctuations give rise to the gravitational waves. Thus, the production of inflationary gravitational waves is a quantum-mechanical phenomenon, meaning that gravity must be quantized. The authors cleverly argue this to be true using dimensional analysis, a common tool that relies on matching units of physical quantities. They show that the production of gravitational waves during an inflationary epoch is proportional to the square of Planck’s constant. As this constant only arises in quantum mechanics, its appearance in the analysis of early-universe gravitational waves implies that gravity must ultimately be quantizedTo be clear, the authors emphasize that their analysis presents no new results, but rather raises a key point that had been overlooked in previous discussions of inflation and gravitational waves. Their fundamental thesis is that because inflationary gravitational waves are inherently a quantum-mechanical phenomenon, any detection of these waves proves the quantization of gravity. Major efforts are underway to measure these waves, but the predicted amplitude of the signal is relatively uncertain and could be below current experimental sensitivity limits. Nevertheless, astronomers are optimistic that a detection will come in time, proving the existence of inflation, and as a bonus, the quantization of gravity. 1Compare the electromagnetic force between two electrons to the gravitational attraction. The electrostatic repulsion is roughly 1042 times stronger than the gravitational force.