How hot can things really get?

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Sources:
http://www.seeker.com/lhc-smashes-highest-man-made-temperature-record-1765929082.html
http://aliceinfo.cern.ch/Public/Welcome.html
https://home.cern/about/physics/heavy-ions-and-quark-gluon-plasma
http://www.popularmechanics.com/science/energy/a5015/4340070/
https://arxiv.org/abs/astro-ph/0310557
https://arxiv.org/abs/astro-ph/0602043
https://ned.ipac.caltech.edu/level5/March11/Peterson2/Peterson3.html
https://ned.ipac.caltech.edu/level5/Fabian3/Fabian1_1.html
http://phys.org/news/2014-11-hot-gas-clusters-galaxies.html
http://www.pbs.org/wgbh/nova/physics/absolute-hot.html
http://www.space.com/13347-big-bang-origins-universe-birth.html

Images:
https://commons.wikimedia.org/wiki/File:Rinjani_1994.jpg
https://commons.wikimedia.org/wiki/File:Asymmetric_Ashes_(artist%27s_impression).jpg
https://commons.wikimedia.org/wiki/File:Views_of_the_LHC_tunnel_sector_3-4,_tirage_2.jpg
https://commons.wikimedia.org/wiki/File:CERN_ALICE_Experiment.jpg
https://commons.wikimedia.org/wiki/File:Standard_Model_of_Elementary_Particles.svg
https://commons.wikimedia.org/wiki/File:Quark_structure_proton.svg
https://commons.wikimedia.org/wiki/File:ALICE_pPb_event.jpg
https://commons.wikimedia.org/wiki/File:CERN_Aerial_View.jpg
https://commons.wikimedia.org/wiki/File:Galaxy_cluster_SDSS_J1004%2B4112.jpeg
https://commons.wikimedia.org/wiki/File:Stellar_Fireworks_Finale.jpg
https://commons.wikimedia.org/wiki/File:Milky_Way-100_billion_stars.jpg
https://commons.wikimedia.org/wiki/File:Black_Holes_-_Monsters_in_Space.jpg
https://commons.wikimedia.org/wiki/File:CMB_Timeline75.jpg