Model mixes in space/time


Liberation of Integration, Universality and Concord (Part #10)


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It is important to recognize that integration can be achieved in space and/or time. For example:

  • a range of models co-existing on different parts of a spatial surface and interacting in historical time.
  • transformation over historical time between a range of models, each successively (periodically) occupying the space.

Note that it is unlikely that these two limiting cases are independent of one another. It is more probable that they engender each other in space- time as do rotation and revolution in any solar system model, for example. In fact such spin and orbital motions are part of a set of six basic motions which also includes: expansion-contraction, torque, involuting- evoluting, and precession (6, point II, 400.654 and II, 986.857); These may suggest other forms of integration in space-time, as well as introducing the less-evident (spiral) evolutionary movements. As a complete set, each of these 'motions' is necessary to the existence of the others.

Further possibilities for integration are indicated by the following:

  • at a particular time, a particular mix of models may be present in space, thus excluding the manifestation of other possible mixes of models which may later emerge (at its expense). The mix need not be a simple agglomeration but may itself be highly integrated (e.g. as a tensegrity).
  • any possible integration (or symmetry) in space can be matched by possible integration over time. (The two possible symmetries may be considered as isomorphic, or as mathematical equivalents). This will be discussed below.