A Slinky® Analogy For Panassociative Functions In A HOP Model
by Ron Blue
Abstract: A simple neuro net with gaussian connections to CORE processors
allows holographic opponent processes to form in the entanglements of
electrons stored in charge coupled attractor basins.
Keywords: gaussian, attractors, wavelets, holographic opponent processing,
Slinky®, Panassociative, coptheory, CORE, HOP model, oscillons.
The Correlational Opponent Processing model of how the brain works
illustrates panassociative functions. The word holographic is suggested as
a replacement for correlational. Holographic implies correlational,
wavelet, interference memory, and Panassociative entanglements.
The Holographic Opponent Processing model of the brain can be easily
duplicated in an electronic circuit by combining multiple charge coupled
string memory CORE or "Correlational Oppositional Ratio Enhanced" processors
working at different functional analog speeds with a circular panassociative
gaussian transistor network. The advantage is that the total systems is a
global entangled memory system forming local gaussian analog panassociative
attractor states at certain time phase intervals. The system is redundant,
entangled, and self repairing.
This circuit allows self programming, backpropagation waves, reciprocal
feedback, fixed preprogrammed action patterns, attractor states, and
The attractor states forms as a harmonic dichotomy of one/many.
By analogy imagine a Slinky® where the top ring is correlated with the
bottom ring at a +.99 level. By twisting the top ring and holding the other
constant an associative function is observable as a standing wave form in
the global/local memory system. By modulating the twisting of the top ring
in one direction then in the another direction the standing wave forms
locally, disappears, then reappears. The local wave form modulates. The
association is observable horizontally and fluctuates as a reciprocal sine
To understand attractor states by analogy imagine a pan or bowl with steel
balls moving like a super fluid. Under the right circumstance they will act
as if they were one because they are attracted to lowest energy level
possible in the basin. Using a Slinky® again if you pick both sides and
allow the middle to fall to the table, the parts of the Slinky® on the table
is an attractor basin.
As a Slinky® walks down a step it has momentum, memory, analog behavior,
global/local attractor basins.
Electrons have spin and obey the Pauli exclusion principle. To understand
this relationship by analogy, take your Slinky® and connect the two ends.
Twist one of the ends until two donuts are formed that have holes that are
perpendicular to each other. This observable relations is very similar to
the opposite oscillon pairs formed in the oscillon model. This models the
Panassociative quantum entanglement can be illustrated by using multiple
Slinky®s by horizontally hanging and balancing a wagon wheel from the center
and welding one end of multiple Slinky®s to the outer ring and the other end
to either the ceiling or the floor. When you oscillate a Slinky®, it
creates an entangled connection to the others. The memory is global/local
and is observable during certain time phases as a special one/many
Blue, Ronald C. & Blue, Wanda E. (November, 1998). Correlational Opponent
Processing: A Unifying Principle. The Noetic Journal
Blue, Ronald C. (January, 2002). Basics of Learning in Conscious AI and
email conversations with Steven R. Grimm (April 2002): srgrimm at lycos.com