The energy of a CMB photon when released is given by Planck constant times frequency; and also at arrival. Therefore, as frequency decreases with expansion, the energy at reception is S times lower, being S the space expansion since then. As S is around 1000, the CMB photons arrive with an energy that is only 1/1000 of their original energy; where is this huge missing energy?

Reasoning in a different way, the energy density of a black body radiation is proportional to the 4th power of temperature, which shifts inversely to space expansion; so the energy density decreases with the 4th power but space expansion only accounts for the 3rd power decrease.

What happens here? Is this a problem of missing energy? Or is this evidence that there is no conservation of energy over time?

Energy conservation is a property of mechanical interactions that was assumed as a fundamental law; truly, we only have evidences of this law in interactions, but not through time with the accuracy required for applying it at cosmic scale.

Conservation laws presume and imply an invariant, static, universe; but the universe is not static.

What do you think? Is energy missing in cosmic radiation or the validity of conservation laws over time needs to be analyzed?

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