Physicist Yoshiki Kuramoto at the University of Kyoto, Japan has created a mathematical oscillator model that has implications to the topic of consciousness. The basic idea is that ALL oscillators respond to or are characterized by a set of differential equations with two components.
The first equation is used to describe what each oscillator would due individually. This can be view as phases or wave pattern traced over a circle.
The second equation is used to describe how oscillators influence each other, i.e. to speed up or slow down other oscillators.
A stability results from the equal and global collective oscillation frequencies. This has been used with Josephson junctions to create extremely accurate timing devices. An array of Josephson junction oscillators model neuro circuits. Mathematical principles and observations emerge with suggestions to neuro processing and consciousness.
A collective system from the two equations would start out chaotic with individual independent oscillations. A phase transition first suggested by Arthur T. Winfree at the University of Arizona in Tucson analogous to phase transition such as the freezing of a liquid results in an intermediate stage in which oscillators are partically synchronized.
Oscillators near the average gaussian frequencies phase lock and cause the collective to emerge as a coherence. This would equal to a THOUGHT or conscious experience. It is important to remember this is a global and individal interaction of neural oscillators.
So one can phase shift any wavelet component in neuro processing and influence other wavelet neuroprocessing systems. For example; running on a treadmill get off quickly and see the room appear to go forward from a gaussian opponent wavelet interaction.
Ron Blue rcb1@lex.lccc.edu
Ref: Science News - April 13, 1996 Correlational Opponent-Processing, (c) 1996
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