Voyage by Catamaran: Effecting Semantic Network "Bricolage" via Infinite-Dimensional Zero-Divisor Ensembles
| dc.creator | de Marrais, Robert P. C. | |
| dc.date | 2008-04-21 | |
| dc.date | 2008-08-27 | |
| dc.date.accessioned | 2026-07-07T12:22:20Z | |
| dc.date.available | 2026-07-07T12:22:20Z | |
| dc.description | 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 recursive basis for all ZD ensembles. Each is a potential waystation for alien-ensemble infiltration in the large, or metaphor-like jumps in the small. Cowbirding models what evolutionary biologists [4], and structural mythologist Claude Levi-Strauss before them [5], term bricolage: the opportunistic co-opting of objects designed for one purpose to serve others unrelated to it. Such arguments entail switching focus, from the octahedral box-kite's four triangular "sails," to its trio of square "catamarans" and their box-kite-switching "twist products." | |
| dc.description | 30 pages, 6 figures, 2 tables, 20 references; V1 split into two parts, published separately: this longer will appear in "Complex Systems," where originally submitted (but with changed title); the shorter, in IEEE proceedings volume for October 18-20 ICNC-FSKD (Jinan, China), as "Natural Numbers, Natural Language: Architecting the Semantic Web." | |
| dc.identifier | https://arxiv.org/abs/0804.3416 | |
| dc.identifier | http://arxiv.org/abs/0804.3416 | |
| dc.identifier | Complex Systems 18:1 (2008) 75-102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213618 | |
| dc.subject | General Mathematics | |
| dc.subject | Other Nonassociative rings and algebras (17D99); Semantic Networks (I.2.4) | |
| dc.title | Voyage by Catamaran: Effecting Semantic Network "Bricolage" via Infinite-Dimensional Zero-Divisor Ensembles | |
| dc.type | text |