Elsevier

Physics Letters B

Volume 833, 10 October 2022, 137365
Physics Letters B

Living on the Fermi edge: On baryon transport and Fermi condensation

https://doi.org/10.1016/j.physletb.2022.137365Get rights and content
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Abstract

The transfer function of the baryon power spectrum from redshift z1100 to today has recently been, for the first time, determined from data by Pardo and Spergel. We observe a remarkable coincidence between this function and the transport function of a cold ideal Fermi gas at different redshifts. Guided by this, we unveil an infinite set of critical temperatures of the relativistic ideal Fermi gas which depend on a very finely quantized long-distance cutoff. The sound horizon scale of Baryon Acoustic Oscillations (BAO) seems to set such a cutoff, which dials a critical temperature that is subsequently reached during redshift. At the critical point the Fermi gas becomes scale invariant and may condense to subsequently undergo gravitational collapse, seeding small scale structure. We mention some profound implications including the apparent quantization of Fermi momentum conjugate to the cutoff and the corresponding “gapping” of temperature.

Data availability

No data was used for the research described in the article.

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