Title: Formalised definition of communicational spaces

Authors: Gilbert Ahamer

Addresses: Interfaculty Department of Geoinformatics ZGIS, Salzburg University, Schillerstrasse 30, Salzburg, Austria

Abstract: This article deals with the concept of communicational spaces and tries to renew, clarify and formalise it from mathematical, geographical and philosophical standpoints. Starting from the concept that space is constituted by communication, a mathematical formulation of space is sought. In a similar manner to quantum mechanics, the present deliberation attempts to provide more generalised theories of reality than did preceding theories of space. In some approaches, spaces are intrinsically constituted by metrics, mainly by definitions of distance. The triangle inequality seems to be constitutive for space; however, it might no longer be applicable in spaces mediated by internet communication. The recent shift to virtual spaces and recent redefinitions of thirdspaces in human geography lead to a fundamental reconsideration of what space is at all, including drawing on distant philosophies. Concluding, this paper posits not that manifoldness is embedded in space, but conversely, that space is a product of manifoldness.

Keywords: metrics; geometry; triangle inequality; paradigms; evolution; internet space; virtual communication; human geography; formalisation; communicational space.

DOI: 10.1504/IJCONVC.2014.063756

International Journal of Convergence Computing, 2014 Vol.1 No.2, pp.167 - 198

Received: 19 Nov 2013
Accepted: 23 Feb 2014

Published online: 30 Aug 2014 *

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