Gopi wrote:
bperet wrote:
Thus, the simplest motions should demonstrate the most chaotic linkages.
Yes, appears to make sense. Sort of like the concepts of entropy and inverse entropy in the material and cosmic sectors. As the effects of the linkages manifest themselves, we get the increased interconnections along with the inverse entropy. Hence, in other words, we 'evolve'.
Here's another thought on linkages, inspired by Gopi's comment on connections and evolution:
We know from Larson's work that only the net magnitude of motion can be transmitted across the unit boundary. Directional information is lost in the crossing. For example, the coordinate time structure inside the time region is perceived only as a single magnitude, the atomic number. All the temporal orientation is lost.
Linkages, being the inverse of "motion", should therefore have reciprocal properties to motion. As we have seen with space and counterspace, where "out" becomes "in" and "bounded" becomes "unbounded", the linkage should therefore have the property of
transmitting direction across the unit boundary, and losing all "magnitude" information.
So we have found yet another type of geometric "reciprocal relationship":
Motion: transmits magnitude, blocks direction = "local" structure.
Linkage: transmits direction, blocks magnitude = "non-local" structure.
Starts to make a lot of sense when you think about how non-locality works. Its effect is "infinite"--no loss of magnitude, because "magnitude" is not a transmitted property of linkage. And only the orientation is affected.
The books Dan sent me on counterspace included works on the "plant" being a linkage between the material and cosmic sectors, namely Larson's "life unit." The basic shapes of plant structures, seeds, flowers, leaf patterns and branches can be derived using the intersection of rectangular and polar geometries -- the geometric conjugates between the material and cosmic sectors.
For the system to work, it required "linkages" to map directional information between the two geometries, producing a recursive heirarchy of structure. The authors would just pick points, and demonstrate how the patterns would be extracted.
Now we see that the linkages, which transmit direction only, are therefore
scale variant, since there is no "magnitude"--the same patterns can be used at any scale, and would easily produce recursive heirarchies--scaled versions of the same pattern, like a Mandelbrot set.
It will take me a while to work out the projective invariants of the non-local (polar) strata, but a quick look at the Euclidean version:
Euclidean (local): scale invariant, fixed at unity; length and direction variant.
Polar Euclidean (non-local): scale variant; length and direction invariant.
Thus, the non-local form of linkage would appear locally as a series of fixed "patterns", to which life units (being a connection between the local and non-local) would conform to, more commonly known as "archetypal" patterns--molds or templates for manifestation.
This is probably the basis of the "3rd world" that Anthroposophy and I believe Theosophy speaks of, that contains the "molds" to form the shapes we see, here in the 1st world.
This also brings up an interesting philosophical point. If non-locality is, indeed, infinite, then the life patterns we see here on Earth will be available EVERYWHERE in the Universe, and any planet with similar conditions where life can form, will produce the SAME living structures we see here on Earth, slightly adjusted for differences in the environment.
So any Earth-type planet should have Earth-type archetypal life: oak trees, elephants, whales... and even humans. Interesting thought, isn't it?