2012/09/30 by Jacques H. H. Perk
Physics and Astronomy · #cond-mat.stat-mech
published as Bulletin de la Société des Sciences et des Lettres de Łódż, Série: Recherches sur les Déformations 62 no.3 (2012) 45-59, 71-74, 63 no.1 (2013) 89-93 · LaTeX 23 pages using bull.cls (provided). Version 2 has two pages added in reply to arXiv:1209.3247. Version 3 adds publication data. Version 4 adds four pages
arxiv created 2013/06/18 · arxiv updated 2014/08/06
The first paper is an invited comment on arXiv:1110.5527 presented at Hypercomplex Seminar 2012 and on sixteen earlier published papers by Zhidong Zhang and Norman H. March. All these works derive from an erroneous solution of the three-dimensional Ising model published in 2007. A self-contained detailed rigorous proof is presented that the final expressions in this work are wrong and that the conjectures on which they are based consequently fail. Further errors and shortcomings in the follow-up works are also pointed out. The second paper is a comment on the response arXiv:1209.3247 by Zhang and March. The third paper is another follow-up.