韦伯望远镜进一步加深了宇宙学中的哈勃张力争议
The Webb Telescope further deepens the Hubble tension controversy in cosmology

原始链接: https://www.quantamagazine.org/the-webb-telescope-further-deepens-the-biggest-controversy-in-cosmology-20240813/

天文学家已经使用较新的仪器詹姆斯·韦伯太空望远镜(Webb)证实了哈勃测量宇宙膨胀率(称为 H0)的准确性。 他们通过分析位于星系外部区域、远离拥挤区域的“红巨星分支尖端”(TRGB)恒星来实现这一目标。 与众所周知的“造父变星”不同,使用 TRGB 测量距离需要使用各种波长滤波器了解其亮度对其颜色的依赖性。 此外,他们还研究了一种新出现的距离指标——属于 J 区渐近巨星分支 (JAGB) 的富碳巨星。 为了确保可靠性,他们比较了三种方法:造父变星、TRGB 和 JAGB,涵盖 11 个星系,所有星系都拥有某些类型的爆炸恒星(称为超新星)。 虽然最初显示的距离相似,误差在 3% 以内,但进一步的检查发现了一些问题,例如 TRGB 测量中的大误差条以及在某些造父变星中双重应用拥挤校正,导致其 H0 计算之间存在差异。 因此,虽然他们似乎解决了“哈勃张力”,但经过更仔细的调查,他们发现了不一致之处,因此哈勃张力仍然存在。

文本讨论了循环十进制数的概念,特别是 0。9999。。。,并认为尽管人们普遍认为这些数字会收敛到一个特定值,而不是持续振荡。 为了证明这一点,作者解释了如何将 0。9999。。。 视为代表小数点后每个数字的分数的无限和(例如,0。9 = 0*1+9*0。1, 0。99 = 0*1+9*0。1+ 9*0。01等)。 作者证明了这个无穷和可以写成序列的极限(即通过一系列越来越接近的近似来逼近的结果),并使用单调收敛定理和几何级数等数学概念来证明该极限的存在。 Finally, the author proves that the limit of 0。9999。。。 is equal to 1 through a simple argument involving the interpolation of values between real numbers。
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原文

When they compared their new numbers to the distances calculated from Hubble telescope data, “we saw phenomenal agreement,” said Gagandeep Anand, a member of the team based at the Space Telescope Science Institute. “That tells us, basically, that the work that has been done with Hubble is still good.”

Their latest results with Webb reaffirm the H0 value that they measured with Hubble a few years ago: 73.0, give or take 1.0 km/s/Mpc.

Given the crowding concern, though, Freedman had already turned to alternative stars that could serve as distance indicators. These are found in the outskirts of galaxies, far from the madding crowd.

One type is “tip-of-the-red-giant-branch,” or TRGB, stars. A red giant is an elderly star with a puffed-up atmosphere that glows brightly in red light. As it ages, a red giant will eventually ignite the helium in its core. At that moment, both the star’s temperature and its brightness suddenly drop off, said Kristen McQuinn, an astronomer at the Space Telescope Science Institute who led a Webb telescope project to calibrate distance measurements with TRGBs.

A typical galaxy has many red giants. If you plot the brightness of these stars against their temperatures, you’ll see the point at which their brightness drops off. The population of stars right before the drop is a good distance indicator, because in every galaxy, that population will have a similar spread of luminosities. By comparing the observed brightness of these stellar populations, astronomers can estimate relative distances.

(With any method, the physicists must deduce the absolute distance of at least one “anchor” galaxy in order to calibrate the whole scale. For their anchor, Riess, Freedman and other groups use an unusual nearby galaxy whose absolute distance has been determined geometrically through a parallax-like effect.)

Using TRGBs as distance indicators is more complex than using Cepheids, however. McQuinn and her colleagues used nine of the Webb telescope’s wavelength filters to understand precisely how their brightness depends on their color.

Astronomers are also beginning to turn to a new distance indicator: carbon-rich giant stars that belong to what’s called the J-region asymptotic giant branch (JAGB). These stars also sit away from a galaxy’s bright disk and emit a lot of infrared light. The technology to observe them at great distances wasn’t adequate until the Webb era, said Freedman’s graduate student Abigail Lee.

Freedman and her team applied for Webb telescope time to observe TRGBs and JAGBs along with the more established distance indicators, the Cepheids, in 11 galaxies. “I am a strong proponent of different methods,” she said.

On March 13, 2024, Freedman, Lee and the rest of their team sat around a table in Chicago to reveal what they had been hiding from themselves. Over the previous months, they had split into three groups. Each was tasked with measuring the distance to the 11 galaxies in their study using one of three methods: Cepheids, TRGBs or JAGBs. The galaxies also hosted the relevant kinds of supernovas, so their distances could calibrate the distances of supernovas in many more galaxies farther away. How fast these farther galaxies are receding from us (which is easily read off from their color) divided by their distances gives H0.

The three groups had calculated their distance measurements with a unique random offset added to the data. When they met in person, they removed each of the offsets and compared the results.

All three methods gave similar distances, within 3% uncertainty. It was “sort of jaw-dropping,” Freedman said. The team calculated three H0 values, one for each distance indicator. All came within range of the theoretical prediction of 67.4.

At that moment, they appeared to have erased the Hubble tension. But when they dug into the analysis to write up the results, they found problems.

The JAGB analysis was fine, but the other two were off. The team noticed that there were large error bars on the TRGB measurement. They tried to shrink them by including more TGRBs. But when they did so, they found that the distance to the galaxies was smaller than they first thought. The change yielded a larger H0 value.

In the Cepheid analysis, Freedman’s team uncovered an error: In about half the Cepheids, the correction for crowding had been applied twice. Fixing that significantly increased the resulting H0 value. It “brought us more into agreement with Adam [Riess], which ought to make him a little happier,” Freedman said. The Hubble tension was resurrected.

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