"Tolkien did repeatedly insist that his works were not an allegory of any kind, and even though his thoughts on the matter are mentioned in the introduction of the book, there has been heavy speculation about the Ruling Ring being an allegory for the atom bomb. However, these comparisons do not withstand a careful look at the facts. Before atomic weapons were first detonated on August 6 and August 9, 1945, Tolkien had already completed most of the book, and planned the ending in entirety – an atom bomb had certainly never been the basis for the Ring. However there is a strong theme of despair in front of new mechanized warfare that Tolkien himself had experienced in the trenches of World War One. The development of a specially bred orc army, and the destruction of the environment to aid this have modern resonances. Nevertheless, the author's own opinion on the matter of allegories was that he disliked them, and it would be irresponsible to dismiss such direct statements on these matters lightly."

"A Quantum group G is at the present a purely mythtical being ... It is supposed that if G were to exist it would have ..."