Inter-universal geometry と ABC予想 (応援スレ) 65at MATH
Inter-universal geometry と ABC予想 (応援スレ) 65 - 暇つぶし2ch529:132人目の素数さん
22/04/23 12:58:59.81 MU2asfqc.net
>>497
つづき
That is to say, it is precisely this sort of situation that is referred to by the term
“inter-universal”. Put another way,
a change of universe may be thought of [cf. the discussion of §2.7, (i)] as
a sort of abstract/combinatorial/arithmetic version of the classical notion
of a “change of coordinates”.
In this context, it is perhaps of interest to observe that, from a purely classical point of
view, the notion of a [physical] “universe” was typically visualized as a copy of Euclidean
three-space. Thus, from this classical point of view,
a “change of universe” literally corresponds to a “classical change of the coordinate system ? i.e., the labelling apparatus ? applied to label points in
Euclidean three-space”!
(引用終り)


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