Norman
Allan  
page
2  A
discussion of mechanism of "ultradilution" / homeopathic "potentisation":
oscillating dipoles/quantum coherence domains, nanoparticles, and such Some Key Points

page
2 Poincare's Recurrence 
Some
Key Points: in first draft order
The observation that "activity" occurs only at specific dilutions/potencies and that the "activity" is lost at some iterations but then returns, suggests that the dilution/ potentisation process may involve the harmonic(1) overlaying of the signals where we may expect Poincaré's recurrence (4). (For a fuller explanation of this statement see my essay: Allan, "Beyond Substance"1). Poincare's Recurrence … With each dilution iteration changes occur in the "signal". All the information may still be there, implicitly, but the manifest patterns change. To explain this let me pass on an example Ian Stewart (5) gives of "Poincare's recurrence". If
I understand … if we take a picture, say a portrait of Poincare (a nineteenth
century mathematician and a great hero to students of "Chaos Theory"),
if we take this picture and stretch it out diagonally, and then fold it back on
itself, needless to say, we distort the original picture. If we take the new distorted
picture and repeat the process, stretch it out and fold it back on itself, by
now the original picture is indistinguishable. Go on repeating the process, stretching
and folding, until there are just these squashed together diagonal "lines"
like an old out of kilter T.V. set.  
 
fundamental, some iteration 48th interaction iterations 241 iteration  
"If a transformation is applied repeatedly to a mathematical system, and the system cannot leave a bounded region, it must return infinitely often to states near its original state"(4). Meanwhile we see that with each iteration, or with each dilution, we change the pattern, the information, as it is manifested. For example, in one of the DNA dot blots the pattern came back into space/charge congruence with the original pattern at the 18th and 25th "iteration".  
Note: St. Laudy and Belon,
in more than two decades of degranulation work, and in the several Southern
blot of which I am cognicent, the first recurrence of biological/biochemical
activity was seen at the 15th, 16th, 17th, or 18th iteration.


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