(UM)
  • Partially ordered sets, transfinite topology and the dimension of Cantorian-fractal spacetime
    Marek-Crnjac, Leila
    Partially ordered sets or posets were used for the first time in determining the dimensionality of spacetime in a profound paper by British mathematician Geoffrey Hemion. The paper, entitle 'A class ... of partially ordered sets' was published in Chaos, Solitons & Fractals [1]. In this paper Hemion already hinted at a possible connection with El Naschie's E-infinity theory [2]. On a purely intuitive and somewhat nay ve basis the connection seems rather natural. Partial order implies a degree of disorder. Similarly a random triadic Cantor set with a golden mean Hausdorff dimension implies a substantial amount of order in chaos [3,4]. Thus one would rightly suspect that the two fundamental notions behind posets and E-infinity are homomorphic. This conjecture was raised on various occasions in various forms [2,5,6] and is the main subject of the present short paper.
    Vir: Chaos, solitons and fractals (Vol. 42, iss. 3, Nov. 2009, str. 1796-1799)
    Vrsta gradiva - članek, sestavni del
    Leto - 2009
    Jezik - angleški
    COBISS.SI-ID - 13987094
    DOI

vir: Chaos, solitons and fractals (Vol. 42, iss. 3, Nov. 2009, str. 1796-1799)

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