Redshift of Star Light: Proportionality to Distance & Other Theories

In summary: Ken Croswell, pages 75-76, on the tired-light theory In summary, the redshift of star light being proportional to the star's distance from us has been a topic of debate since it was first observed. One of the competing explanations was the tired-light theory, which suggests that light loses energy/frequency slowly over large distances. However, this theory has been ruled out by two observations: the time dilation of exploding stars in distant galaxies and the disagreement with the observed spectrum of the cosmic microwave background. These observations support the currently accepted explanation of expansion of space. For more information, refer to The Universe at Midnight by Ken Croswell, specifically pages 75-76.
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A question regarding the redshift of star light being proportional to the star's distance from us. I suppose there were other, competing explanations for this when it was first observed (e.g. that light somehow loses energy/frequency extremely slowly over large distances), in addition to the currently accepted expansion explanation. Is this true? Any reference (or short explanation) of how other theories were ruled out?
 
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You can start by having a look at the Wikipedia page for Tired light
 
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See The Universe at Midnight by Ken Croswell, pages 75-76, on the tired-light theory:

The tired-light theory is not new. It was first proposed by maverick scientist Fritz Zwicky in 1929, a few months after Hubble discovered the distance-redshift relation. But two observations rule it out. First, astronomers see that exploding stars in distant galaxies brighten and fade more slowly than those nearby. This time dilation arises from the expansion of space. To see how, imagine that a star in a far-off galaxy emits one pulse of light toward Earth on January 1 and a second pulse on February 1. Initially, the two pulses are separated by a distance of one light-month. As they travel toward Earth, though, the space between them expands, perhaps doubling; so astronomers receive them two months apart. In the tired-light theory, this should not happen–the pulses of light weaken but do not separate. In fact, astronomers do observe that distant supernovae wax and wane more slowly than nearby ones, agreeing with the idea that space expands and contradicting the tired-light theory.

Second, the tired-light theory disagrees with the observed spectrum of the cosmic microwave background, the big bang's afterglow. This has a specific shape which physicists call a blackbody: it is most intense at one particular wavelength, falls off slowly at longer wavelengths, but rapidly at shorter wavelengths. The universe's expansion degrades the cosmic microwave background's spectrum, stretching it to longer wavelengths, but in a way that preserves the blackbody shape. In contrast, the tired-light theory predicts that as the light composing the cosmic microwave background loses energy, the spectrum ceases to remain a blackbody, contrary to observations.
--from The Universe at Midnight by Ken Croswell. Link: The Universe at Midnight
 
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1. What is redshift of star light?

Redshift of star light is a phenomenon where the wavelengths of light from distant stars appear to be longer, or "shifted" towards the red end of the light spectrum. This occurs because the objects emitting the light are moving away from us at high speeds.

2. How is redshift of star light related to distance?

The redshift of star light is directly proportional to the distance between the object emitting the light and the observer. This means that the farther away a star is, the greater its redshift will be.

3. What are some other theories that explain redshift of star light?

In addition to the Doppler effect, which explains redshift through the relative motion of the emitting object and the observer, there are other theories such as the cosmological redshift and the gravitational redshift. The cosmological redshift is caused by the expansion of the universe and the gravitational redshift is caused by the distortion of space-time near massive objects.

4. How is redshift of star light measured?

Redshift of star light is typically measured using a spectrometer, which separates the different wavelengths of light and allows scientists to calculate the amount of redshift. This can also be done through spectroscopic observations, where the absorption or emission lines of elements in the star's spectrum are compared to their known wavelengths to determine the redshift.

5. Can redshift of star light be used to determine the age of the universe?

Yes, the redshift of star light can be used in conjunction with other cosmological data to estimate the age of the universe. This is done by measuring the redshift of distant galaxies and using it to calculate the expansion rate of the universe, which can then be used to determine its age.

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