Cantorian spacetime and Hilbert space: Part I—Foundations

G. Iovane

Chaos, Solitons & Fractals, 2006, vol. 28, issue 4, 857-878

Abstract: We are going to show the link between the ε(∞) Cantorian space and the Hilbert spaces H(∞). In particular, El Naschie’s ε(∞) is a physical spacetime, i.e. an infinite dimensional fractal space, where time is spacialized and the transfinite nature manifests itself. El Naschie’s Cantorian spacetime is an arena where the physics laws appear at each scale in a self-similar way linked to the resolution of the act of observation. By contrast the Hilbert space H(∞) is a mathematical support, which describes the interaction between the observer and the dynamical system under measurement.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:4:p:857-878

DOI: 10.1016/j.chaos.2005.08.074

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