Yes, the phenomenon of redshifting of light can indeed be explained by the principles of relativity and the differences in perceived wavelengths by observers. This effect is known as gravitational redshift.
According to the theory of general relativity, the gravitational field of a massive object can influence the path and frequency of light. When light travels out of a gravitational field, it loses energy as it moves against the gravitational force. As a result, the frequency of the light decreases, causing a shift towards the red end of the electromagnetic spectrum.
Gravitational redshift can be understood in terms of the gravitational time dilation and the energy conservation of photons. As a photon climbs out of a gravitational well, it loses energy due to the work done against gravity. This energy loss corresponds to a decrease in frequency, resulting in a redshift.
The amount of redshift experienced by light depends on the strength of the gravitational field it encounters and the relative motion between the source of light and the observer. In cosmological contexts, redshift is often used to measure the expansion of the universe, where the observed redshift of light from distant galaxies is an indicator of their recessional velocity.
It's important to note that there are other mechanisms that can cause redshift, such as the Doppler effect due to the relative motion between the source and the observer. However, gravitational redshift specifically refers to the redshift caused by the influence of gravity on light.
In summary, the redshifting of light can be attributed to the effects of relativity, including gravitational time dilation and the alteration of photon energy as it traverses a gravitational field.