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As metric expansion of space occurs, matter/energy of all forms within it become proportionally smaller in wavelength compared to the total amount of space.
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Actually i do not see the link between metric expansion and shortening the wavelength of a photon for example. It is usually the other way around, take for example the CMB (cosmic microwave background radiation) at the surface of last scattering (~300'000 after the Big Bang) they had a temperature of 3000K and then due to the expansion of space their wavelength increased until they got down to temperature of 2.7 K today...
I'm pretty sure you know all this and I did not understand what you meant (the compared to space part?), but in case you don't I can explain...
