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# Physics# Cosmology and Nongalactic Astrophysics

New Method to Measure Cosmic Expansion

A fresh approach to studying universe expansion using redshift differences from gravitational lensing.

― 8 min read


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The study of the universe and how it expands is a long-standing interest in science. Over the years, scientists have been looking for ways to measure this expansion. One important method is called "redshift drift." This involves watching how light from distant galaxies changes as the universe grows. The problem is that this method needs a lot of time-decades of careful observations with complex instruments-to get good results.

However, a new method offers a different approach that could speed things up. Instead of waiting for years to see the redshift drift in galaxies, this new method looks at the differences in redshift between multiple images of the same object when it is magnified by a massive object, like a galaxy cluster. This effect is known as Gravitational Lensing, and it happens when light from a distant object is bent by the gravity of a massive object in front of it.

When we look at these multiple images, the light has traveled different paths. This means that when we observe these images at the same time, the redshift-the change in light due to expansion-can differ depending on the path the light took. By measuring this difference, researchers can gather useful information about how the universe is expanding.

The Importance of Redshift

Redshift is a key concept in understanding our universe. When we observe distant galaxies, we see that the light they emit appears shifted towards the red end of the spectrum. This redshift tells us that these galaxies are moving away from us, which is a sign that the universe is expanding.

In simple terms, if an object in space is moving away, its light stretches out, shifting to a longer wavelength-the red part of the spectrum. By measuring this shift, scientists can determine how fast the object is moving and, by extension, how fast the universe is expanding.

The Challenge of Measuring Redshift Drift

Traditionally, to measure redshift drift, scientists have needed to look at the same galaxy over and over again over a long period of time. This is not only time-consuming but also requires specially designed instruments to ensure accuracy. Scientists need to ensure that these instruments remain stable over many years, which can be a significant challenge.

This long-term requirement makes it difficult to gather data quickly. Scientists need to carefully plan observations and hope that their instruments don’t experience issues that could affect the data.

A New Method: Redshift Difference Using Gravitational Lensing

The newly proposed method takes advantage of gravitational lensing to overcome the long waiting period involved in traditional redshift drift measurements. By focusing on clusters of galaxies that can bend and magnify the light from distant objects, researchers can see multiple images of the same distant source. Each of these images has traveled different paths through space.

If the light from a distant object, such as a galaxy, is emitted at different times, the different paths taken by the light will show different Redshifts. Therefore, by analyzing these differences in redshift, scientists can gather information about the expansion of the universe without needing to wait for decades for observations.

This new method could provide valuable insights into the nature of the universe and how it is evolving. It could also lead to a better understanding of Dark Energy, which is a mysterious force thought to be driving the accelerated expansion of the universe.

Impact of Cosmology on Redshift Difference

The study of redshift differences also allows scientists to explore the underlying nature of the universe, especially the relationship between matter, dark energy, and expansion. Different models help scientists understand how these elements work together. By using synthetic data generated from realistic lens models, researchers can determine how accurately they can measure cosmic parameters.

The new approach is sensitive to the densities of matter and dark energy in the universe. However, one surprising finding is that the redshift difference does not depend on the value of the Hubble Constant, which is a measure of the universe's expansion rate.

Observational Considerations for Gravitational Lensing

When using this new method to study redshift differences, there are some important observational considerations to keep in mind. One key finding is that researchers believe they can obtain reliable results by analyzing around one thousand lensed sources.

Upcoming telescopes and surveys, like the Euclid mission, are expected to identify enough of these lensed sources, allowing scientists to utilize this method effectively. This increased availability of lensed sources means that researchers can gather significant data to advance our understanding of cosmology.

Historical Context of Cosmological Expansion

The concept of cosmological expansion has been a significant area of study for over a century. The first evidence of this expansion came from the observation that distant galaxies are moving away from Earth. The theoretical foundation for this idea was established over time through various observations, including the cosmic microwave background radiation and the distribution of galaxies.

One of the most surprising discoveries in recent decades is that the expansion of the universe is not just ongoing, but is actually accelerating. This discovery created significant interest in understanding the causes behind this acceleration, particularly the role of dark energy.

Dark Energy and the Universe

Dark energy is still a mystery; it is thought to be a constant energy density that fills space and drives the accelerated expansion of the universe. However, there are alternative theories that suggest dark energy may not be constant over time, which could lead to different scenarios for the universe's structure and behavior.

To help unravel the mysteries surrounding dark energy, researchers often look for different methods to study cosmic expansion. The traditional techniques mainly involve observing supernovae and the large-scale distribution of galaxies.

Advantages of the New Method

The new redshift difference measurement offers several advantages compared to traditional methods. Firstly, it provides a direct measurement of cosmological history without relying on long-term observations. Secondly, it covers a wide range of redshifts, making it versatile in studying different regions of the universe.

This approach also avoids the problems related to instrument instability that can arise when measuring redshift drift over years. Since the redshift difference can be determined in a single observational instance, it circumvents the need for prolonged observational campaigns.

Potential Challenges

However, there are still challenges with the new method. For instance, while a single quasar may yield multiple absorption lines across a wide range of redshift for traditional redshift drift measurements, the redshift difference method relies on clear and distinct lensed images of the same object.

The choice of lens model is another critical factor. If researchers select models that introduce systematic errors, this could affect the accuracy of the measurements.

Practical Steps for Measurement

To implement this new measurement method, researchers first establish the equations needed to calculate redshift differences. They explore how the redshift difference is influenced by factors such as the Hubble function and the angular diameter distances between lens, source, and observer.

By developing lens models and analyzing cosmic data, researchers can work towards more accurate measurements of Cosmological Parameters. Machine learning techniques and computational tools can assist in refining these models and interpreting the data effectively.

The Role of Technology

Upcoming advancements in telescope technology will enable scientists to detect the redshift differences more precisely. Tools designed for high-resolution measurements can help gather data on redshift differences that were previously too small to detect accurately.

The next generation of observatories, like the Extremely Large Telescope (ELT), promises to enhance our ability to measure the redshift differences effectively. With their vast collecting area and advanced instrumentation, these telescopes will be crucial in observing distant cosmic phenomena.

Lens Modeling and Data Analysis

Lens modeling is essential for interpreting the measurements accurately. Researchers can create artificial lenses to demonstrate their models and simulate data to analyze redshift differences. These models help identify the best sources for observation and develop methods for analyzing the differences in redshift.

Details such as the mass of the lens and the angles involved in the light's path play a significant role in lens modeling. By understanding these factors, researchers can improve their predictions and gain a clearer picture of cosmic expansion.

Estimating Cosmic Parameters

After gathering data from analyzed lenses, scientists can use statistical methods to estimate cosmological parameters. Using tools like Markov Chain Monte Carlo (MCMC) simulations, they can sample and evaluate data for various models of the universe.

By comparing observations to models, researchers can constrain the values of parameters such as the densities of matter and dark energy. This allows them to better understand how these components contribute to the universe's expansion.

Future Directions

Looking ahead, researchers plan to conduct further studies using redshift differences to address systematic errors and uncertainties in measurements. Combining redshift difference data with information from other cosmological probes, such as cosmic microwave background and supernova data, will yield tighter constraints on cosmological models.

Additionally, there is potential for using this method to distinguish between different theories of dark energy, including scalar field models or modified gravity theories. Such studies can deepen our understanding of the universe’s history and evolution.

Conclusion

In summary, the new method for measuring redshift differences offers exciting possibilities for studying the expanding universe. With advancements in technology and more available data, researchers have the opportunity to refine our understanding of cosmology significantly. Continued research in this area will pave the way for new discoveries and insights into the nature of our universe.

Original Source

Title: The Redshift Difference in Gravitational Lensed Systems: A Novel Probe of Cosmology

Abstract: The exploration of the redshift drift, a direct measurement of cosmological expansion, is expected to take several decades of observation with stable, sensitive instruments. We introduced a new method to probe cosmology which bypasses the long-period observation by observing the redshift difference, an accumulation of the redshift drift, in multiple-image gravitational lens systems. With this, the photons observed in each image will have traversed through different paths between the source and the observer, and so the lensed images will show different redshifts when observed at the same instance. Here, we consider the impact of the underlying cosmology on the observed redshift difference in gravitational lens systems, generating synthetic data for realistic lens models and exploring the accuracy of determined cosmological parameters. We show that, whilst the redshift difference is sensitive to the densities of matter and dark energy within a universe, it is independent of the Hubble constant. Finally, we determine the observational considerations for using the redshift difference as a cosmological probe, finding that one thousand lensed sources are enough to make robust determinations of the underlying cosmological parameters. Upcoming cluster lens surveys, such as the Euclid, are expected to detect a sufficient number of such systems.

Authors: Chengyi Wang, Krzysztof Bolejko, Geraint F. Lewis

Last Update: 2023-08-14 00:00:00

Language: English

Source URL: https://arxiv.org/abs/2308.07529

Source PDF: https://arxiv.org/pdf/2308.07529

Licence: https://creativecommons.org/licenses/by/4.0/

Changes: This summary was created with assistance from AI and may have inaccuracies. For accurate information, please refer to the original source documents linked here.

Thank you to arxiv for use of its open access interoperability.

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