PART 2
Fermat's Last Theorem is important in the development of the TRUE unit analysis of quantum data.
“Concerning whole numbers, while certain
squares can be separated into two squares, it is impossible to separate a cube into two cubes or a fourth power
into two fourth powers or, in general any power greater than the second into
two powers of like degree. I have discovered a truly marvelous demonstration,
which this margin is too narrow to contain.”
-
Pierre
de Fermat, circa 1637 [1]
Fermat’s “marvelous” proof was never found and the
theorem remained officially a conjecture
without proof until Andrew Wiles published a lengthy treatment in 1995 that was accepted by number
theorists as a valid proof [3].
Prior to that, however, Edward R. Close completed a proof in 1965 (FLT65), submitted it to the first of many
reviewers in 1966, and published it in 1977 [4]. The Close proof though never refuted, presented difficulties for some reviewers because of
unconventional notation, and at least three reviewers have suggested that the
difference between applying the division algorithm to algebraic polynomial
factors and integer factors of the equation as used in the proof make it
questionable and either incomplete or incorrect. This concern is addressed in
this paper and shown to be unwarranted: There
has been a tendency for reviewers to ignore the uniqueness requirements for the
division algorithm stated in FLT65 while looking for mistakes which they assume
must be there, for reasons explained in this paper. When everything presented
in FLT65 is appropriately considered, the concern over the application of the
division algorithm is eliminated, removing the only serious objections to the
proof.
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