Wednesday, November 4, 2009
Rolling Rigid Dice (and other Abstractions of Abstractions)
L. Edgar Otto
*1. That a point and all connecting edges from it in an Euclidean honeycomb (delta n) removed results in a finite structure is too rigid a principle to distinguish a space as finite or infinite. For the process can result in other indefinite models of space.
*2. These removed elements may remain ambiguously “substantial” although can be hidden. Style this also the concept of a virtual field or vacuum default.
*3. The designated virtual elements (collapsed or oriented) may not necessarily reconnect in the some complex or ordering.
*4. Invariant light rays can also be described by this quasi-transfinite (QsX) spatial model.
*5. Alternatively, we can have virtual mirrors as quasi-substantial principles of reflection (perhaps also in a consciousness sense).
*6. The accentuation, attenuation, of virtual systems as a phenomenological dynamic and substantial may appear meaningless or neutral, in itself. Alternatively, a false relation within a self contained or projected outside system.
*7. Both principles of space can make a dynamic evolution of state within some potential of expressed boundaries and actualization of organized perceived time and entropy directions. In this mode or “interval” of an existing system we resolve sub-system decay and merger of system modes and directions.
*8. This model can have global (and sub-regional) economic relevance as the explanation, model and method of implementation as Non-Linear Market Economics and social relations.