It seems well implicitly understood by law makers and rulers of nations as to what is the crux of democracy (to free or not to free). It seems obvious, but not casually spoken, although silently anticipated, as to what is the crux of prophecy (to fulfill or not to fulfill). For the crux of literacy it is to learn or not; for crux of fluency, to speak or shut up; for crux of policy, to abide or not; the crux of decency, to expose or not; the crux of supremacy, to dominate or not. However, in number theory, the crux is to choose the representations for the whole number zero as ‘0’ or as 1/¥. Clearly for anyone who constantly works with numbers in order to find answers to life’s mysteries, the choice is ‘0’ and not the cumbersome 1/¥. As ‘0’, it lies at the crossing that forms the crotch of the imaginary axis and the real axis. It is absolute. It is neither positive nor negative. It is the identity of all Abelian operators for addition (see http://en.wikipedia.org/wiki/Abelian_group). Yet when it is applied to products of semi-groups (see http://en.wikipedia.org/wiki/Semigroup), it has the power to annihilate everything (numbers not people) into the empty set. It earns the everlasting property of multiplication by itself, yet somehow does not produce anything even if the operations are carried all the way to infinity. In the English language dictionary, it is the last word with the most definitions, before one can decide to close the pages of meanings. The other contenders are the words: ‘zone’ and ‘zoom’. In TQS (theory of quantum space-time or total quality 4-letter word beginning with an “s”), ‘0’ forms elements for infinitely dimensioned null matrices. For all other singular Hadamard matrices of TQS, one zero is enough to signify the value of all determinants. It is the value regardless of the order or dimension or LOE (level of existence) of the matrix.


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