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I've found several articles discussing experimental evidence of a deuterium state of densities over $140 \textrm{ kg}/\textrm{cm}^3$:

  • F. Winterberg. Ultradense Deuterium. arXiv.

  • Shahriar Badiei, Patrik U. Andersson, Leif Holmlid. High-energy Coulomb explosions in ultra-dense deuterium: Time-of-flight-mass spectrometry with variable energy and flight length. International Journal of Mass Spectrometry, Volume 282, Issues 1–2, 15 April 2009, Pages 70-76. DOI.

  • Patrik U. Andersson, Leif Holmlid. Superfluid ultra-dense deuterium D(−1) at room temperature. Physics Letters A, Volume 375, Issue 10, 7 March 2011, Pages 1344-1347. DOI.

Have these super-dense states been replicated by third parties?

Have these super-dense states yet to be replicated by third-parties?

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Have these super-dense states been replicated by third parties?

No, I don't think there has been anything published in any reputable journal claiming to have reproduced Holmlid's supposed experimental discovery of ultradense deuterium. If there had been, it would have been big news.

He is active in the cold fusion community, so it would not be surprising if other cold-fusion kooks did similar experiments and presented them at true-believer conferences, etc. Holmlid is basically a one-man echo chamber who tirelessly pushes his crackpottery in online venues such as Wikipedia and physics.SE. Although he has managed to get his articles published in journals, a literature search showed that out of 2154 references to his papers, 1863 were self-citations.

Extraordinary claims require extraordinary evidence. Holmlid's claims, about both "Rydberg matter" and "ultradense deuterium," are extraordinary, and there is no evidence for them from any reputable experimentalist.

By the way, he has another, more recent paper claiming laser-induced fusion in ultradense deuterium: http://arxiv.org/abs/1302.2781

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I follow the publications of Holmlid since two years. His explanation of p(-1) and D(-1) as "inverted" Rydberg matter seemed strange to me too. But in his latest publication (http://dx.doi.org/10.1016/j.ijms.2013.08.003) he explains these hyperdense forms of protium and deuterium as Bose-Einstein Condensates and he refers to the theory of Jorge Hirsch about superconductivity and the Meissner effect (arXiv:0908.1577v1 [cond-mat.supr-con] 12 Aug 2009).