Thanks N.Please understand that I am a computer scientist trying to learn higher mathematics by Osmosis. It seems to be working, but slowly: your response is interesting and informative.The question arises out of a need to be able to understand sufficiently so that I can implement the double slit experiment in software (I have some really wierd hobbies) ie set up the crystalline structure of the material containing the slits, discover what a photon really is (if it is anything at all), fire it on its way, and observe the state change of the simulated silver halide observation mechanism. Anton Zeilinger has done the double slit experiment with Fullerenes [Carbon 60 etc] and has observed the interference effect even though the slits are much smaller than the Fullerenes.I have read many thousands of pages of material covering the application of Kawaguchi spaces to everything from the structure of Leptons to the number and location of Fish Fins (Oh yes, really!).Given a Kawaguchi Space K(M,L,N), with L parameters, N Dimensions and M derivatives, there appears to be an equivalence between a Kawaguchi space K(M,3,N) and the elementary particles: Baryons for L=3, Mesons for L=2 and Leptons for L=1. The physical configurations carried by the three/two paramters of K(M,3,N)/K(M,2,N) are identified with the three/two quarks of the baryon/meson.From memory, while I'm at it, there is an important result due to Kawaguchi and Hombu, the KH theorem, where the additional dimensions of higher order Kawaguchi spaces cancel out due to cross-differentiation such that only three dimensions are necessary and sufficient for the representation of complex phenomena, hence our observed three dimensional reality.I was trying to find out the reationship between the simplest Kawaguchi Space and the simplest and first emergent objects ex void, after the work of Bastin and Kilmister et al in the Combinatorial Heirarchy. (As well as expressing annoyance about being harried by menstrual women all the time). I had not realised that a monoid was so well defined, though the paper on the subject I recently read was 50 years old.Regarding the Reimann Conjecture: I rather doubt it would be me. [Get Real Edit Performed]
Last edited by GrenvilleCroll
on November 9th, 2005, 11:00 pm, edited 1 time in total.