Big Dipper Cosmic Ray Hotspot Homogeneity question

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The discussion centers on the implications of a cosmic ray hotspot in the Big Dipper, which contributes 25% of the highest energy cosmic rays. It is argued that this does not challenge the isotropic and homogeneous view of the universe, as local anisotropies are anticipated on smaller scales. The detected ultrahigh-energy cosmic rays primarily originate from within 300 million light-years of Earth and are influenced by cosmic microwave background radiation. Ongoing research suggests that the distribution of these cosmic rays correlates with large-scale structures like galaxy clusters, but these do not pose a significant threat to the homogeneity assumption. Overall, some inhomogeneity is expected, and current challenges to the ΛCDM model regarding large objects in the universe have not been substantiated.
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The principles of homogeneity and isotropy [i.e, the Copernican principle] only applies on scales much larger than a galaxy.
 
Ultrahigh-energy cosmic rays stem from outside the Milky Way, but are weakened by interactions with the cosmic microwave background radiation — the leftover fingerprint from the Big Bang that kicked off the universe. As a result, 90 percent of the detected ultrahigh-energy cosmic rays originate within 300 million light-years of Earth.

According to Jui, a separate study currently in progress suggests that the distribution of ultrahigh-energy cosmic rays in the northern sky is related to concentrations of large-scale structures like clusters and superclusters of galaxies.



The article mentions superclusters of galaxies. Are these big enough to be a concern for homogeneity?
 
No. You are suggesting extragalactic sources which are not proven to be an issue.
 
Tanelorn said:
The article mentions superclusters of galaxies. Are these big enough to be a concern for homogeneity?
No. Why would they be?

Some level of inhomogeneity is expected at all size scales. The homogeneous assumption is only ever an approximation.

It is possible to challenge ##\Lambda##CDM if it can be shown that there are far more extremely large objects in the observable universe than we would expect given that model. But so far such challenges haven't held up under scrutiny.
 
https://en.wikipedia.org/wiki/Recombination_(cosmology) Was a matter density right after the decoupling low enough to consider the vacuum as the actual vacuum, and not the medium through which the light propagates with the speed lower than ##({\epsilon_0\mu_0})^{-1/2}##? I'm asking this in context of the calculation of the observable universe radius, where the time integral of the inverse of the scale factor is multiplied by the constant speed of light ##c##.
Why was the Hubble constant assumed to be decreasing and slowing down (decelerating) the expansion rate of the Universe, while at the same time Dark Energy is presumably accelerating the expansion? And to thicken the plot. recent news from NASA indicates that the Hubble constant is now increasing. Can you clarify this enigma? Also., if the Hubble constant eventually decreases, why is there a lower limit to its value?
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