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Voyage by Catamaran: Effecting Semantic Network "Bricolage" via Infinite-Dimensional Zero-Divisor Ensembles
[article]
2008
arXiv
pre-print
Continuing arguments presented [1] or announced [2][3] in "Complex Systems," zero-divisor (ZD) foundations for "scale-free" networks (evinced, in particular, in the "fractality" of the Internet) are decentralized. Spandrels, quartets of ZD-free or "hidden" box-kite-like structures (HBKs) in the 2^(N+1)- ions, are "exploded" from (and uniquely linked to) each standard box-kite in the 2^N-ions, N > 3. Any HBK houses, in a "cowbird's nest," exactly one copy of the (ZD-free) octonions, the
arXiv:0804.3416v2
fatcat:zxixb24p2ffxnakpks56n64mlq