Chaos Theory.

Chaos is the science of surprises, of the nonlinear and the unpredictable. It teaches us to expect the unexpected. While most traditional science deals with supposedly predictable phenomena like gravity, electricity, or chemical reactions, Chaos Theory deals with nonlinear things that are effectively impossible to predict or control, like turbulence, weather, the stock market, our brain states, and so on. These phenomena are often described by Fractal Mathematics, which captures the Infinite Complexity of Nature. Many natural objects exhibit Fractal Properties, including landscapes, clouds, trees, organs, rivers etc, and many of the systems in which we live exhibit Complex, Chaotic behavior. Recognizing the Chaotic, Fractal Nature of our world can give us new insight, power, and wisdom. 

Principles of Chaos

The Butterfly Effect: This effect grants the power to cause a hurricane in China to a butterfly flapping its wings in New Mexico. It may take a very long time, but the connection is real. If the butterfly had not flapped its wings at just the right point in space/time, the hurricane would not have happened. A more rigorous way to express this is that small changes in the initial conditions lead to drastic changes in the results. Our lives are an ongoing demonstration of this principle. 

Unpredictability: Because we can never know all the initial conditions of a complex system in sufficient (i.e. perfect) detail, we cannot hope to predict the ultimate fate of a complex system. Even slight errors in measuring the state of a system will be amplified dramatically, rendering any prediction useless. Since it is impossible to measure the effects of all the butterflies (etc) in the world, accurate long-range weather prediction will always remain impossible.

Order / Disorder: Chaos is not simply disorder. Chaos explores the transitions between order and disorder, which often occur in surprising ways.

Mixing: Turbulence ensures that two adjacent points in a complex system will eventually end up in very different positions after some time has elapsed. 

Fractals: A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos. Geometrically, they exist in between our familiar dimensions. Fractal patterns are extremely familiar, since nature is full of fractals. For instance: trees, rivers, coastlines, mountains, clouds, seashells, hurricanes, etc.



The ancient wisdom describes these fields of resonance emanating from
the center as elements. The elements are the vibratory archetypes of
Cosmic Intelligence that underlie creation. Ether, Air, Fire, Water,
and Earth. These five patterns of vibration are at the core of the
sciences of the ancients. Dr. Stone writes: “Patterns are mind energy
fields. [underlined in the original] Each type of energy has a
vibratory speed and wave length which determines its function and
affinity to other similar units of energy functioning in the body, or
outside in the cosmos. They are the fundamental resonances that are
the inner vibrational basis of all phenomena. The elemental harmonics
are understood as four phases of radiation (Air, Fire, Water, and
Earth) from one center (Ether). Each of the elements represents a
progressively denser, more material radiation of a single force, a
harmonic of the underlying singular harmony. The elements are
archetypal harmonics corresponding to the phases of materialization in
the Polarity Evolutionary Cycle.


Ether is the matrix through which thought forms are brought into
etheric patterns which then crystallize into physical expression. Ether
resonates with prana, the life breath of the cosmos and sonic medium of
the Divine will to create. Ether is the principle in consciousness that
draws from the universal medium of prana, cosmic breath, to project
into physicality the intelligent patterns that sustain matter. The
other elements radiate outward from within this all-pervasive subtle
inner medium as they step-down into more and more solid matter. The
potency of the emanation drops as the energy moves away from the center
and steps down from Spirit to matter. The etheric body is a high
vibrational matrix which steps energy down from the subtle universal
elements into materiality. Ether is the womb through which the
subtle inner quintessence of the universal elements combine into the
combination of the five gross elements which sustains matter.