The paper's goal is to describe how the combined structure and dynamics of all gravitational and Standard Model particle fields are part of the E8 Lie algebra.
[4] Scientific American reported in March 2008 that the theory was being "largely but not entirely ignored" by the mainstream physics community, with a few physicists picking up the work to develop it further.
[5] In July 2009, Jacques Distler and Skip Garibaldi published a critical paper in Communications in Mathematical Physics called "There is no 'Theory of Everything' inside E8",[6] arguing that Lisi's theory, and a large class of related models, cannot work.
Lisi states the theory is young and incomplete, requiring a better understanding of the three fermion generations and their masses, and places a low confidence in its predictions.
Lisi made a further presentation for the International Loop Quantum Gravity Seminar on November 13, 2007,[13] and responded to press inquiries on an FQXi forum.
In this paper, Distler and Garibaldi offer a proof that it is impossible to embed all three generations of fermions in E8, or to obtain even the one-generation Standard Model.
[25] Addressing the one generation case, in June 2010 Lisi posted a new paper on E8 Theory, "An Explicit Embedding of Gravity and the Standard Model in E8",[26] eventually published in a conference proceedings, describing how the algebra of gravity and the Standard Model with one generation of fermions embeds in the E8 Lie algebra explicitly using matrix representations.
[27] Roberto Percacci's "Mixing internal and spacetime transformations: some examples and counterexamples"[28] addresses a general loophole in the Coleman–Mandula theorem also thought to work in E8 Theory.
[29] In a joint paper with Lee Smolin and Simone Speziale,[30] published in Journal of Physics A, Lisi proposed a new action and symmetry-breaking mechanism.
In December 2011, in a paper for a special issue of the journal Foundations of Physics, Michael Duff argued against Lisi's theory and the attention it has received in the popular press.