The answer to these questions varies wildly, according to the theorist. There is little proof that can be called firm. The theory that appeals to me the most is not Holmlid's but the one of Lawandy. In that theory, there must be a dielectric support for UDH, which is always paired. A larger cluster of pairs is possible with no electrons - instead the charge is balanced by deflated electrons captured in the dielectric. The paper is on the LENR-CANR site. There is no "Rydberg matter" per se, but this dense state can be labeled as IRH or inverted Rydberg hydrogen.
From: Stephen Cooke Oops i meant H(0) of course Some questions about H(1) ultra dense hydrogen: Is it possible for H(1) to exist as only one pair of atoms in dense form or is a layer of additional pairs in a vortex is required to stabilise it? Does anyone know if H(1) matter would contain stable electron orbitals, or would the electrons be freely moving in a conduction band? If it is possible to have a single pair and it has electron orbitals would they look familiar? i.e. I suppose they would be external to the pair of protons, would they there for look like orbitals from Helium atom with some offset due to the different reduced mass due to lack of neutrons, and different spin state of the nucleus? Or would they be more complex due to dynamics of the proton pair? Is there a reason the protons in the pair do not repel each other? is it sufficient that the 2 elections stabilise them somehow or does it require interactions with other pairs in the vortex to remain stable?