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The Principle of Incommensurability is the most important principle of The-OM-Particle theory. If you can understand this principle, then you should be able to understand the rest of what I am trying to say. First of all, we need to define the two terms, “principle” and “incommensurability”.
Principle:[prinsəpəl]: A fundamental truth or proposition that serves as the foundation for a system of belief or behaviour or for a chain of reasoning.
Incommensurability: [In-kuh-men-ser-uh-bill-uh-tee]: Having nothing in common, impossible to compare.
The Principle of Incommensurability is the foundation with which I am basing the whole of my cosmology. There is one and only one Principle of Incommensurability. Within it, there are two fundamentals or domains. Each domain is distinct and dissimilar from the other (i.e., they have nothing in common). Whatever “one” IS, the “other” IS NOT and vice versa. What “one” HAS, the “other” HAS NOT and vice versa. For example, a Christian might say, “In the beginning was darkness, and god said, let there be light”. Darkness and light are incommensurate principles. Darkness is not light and light is not darkness. In a similar manner, a Buddhist might say, “In the beginning was silence, and god said, let there be sound”. Silence and sound are incommensurate principles. Silence is not sound and vice versa. The Principle of Incommensurability involves two dissimilar principles or domains that are, for all intents and purposes, the inverse of or reciprocals of each other. But this is only one aspect of the principle. The other aspect involves the conjugate nature of two incommensurate principles.
Conjugate:/ˈkänjəˌɡāt/: joined together, especially in pairs; opposite, inverse or reciprocal yet coupled, connected, or related in some manner.
So the Principle of Incommensurability includes the conjugate nature (or pairing) of two distinct or dissimilar principles that are conceptually related. Incommensurate principles are either inverses or reciprocals of each other. For example, expansion and contraction are incommensurate principles. Expansion is not contraction and contraction is not expansion, but expansion and contraction are conceptually related. The pairing of expansion and contraction allows for the phenomenon we call breathing, for example. Why is “the breath” so important in Buddhism? Because the expansion and contraction of the breath (breathing) encapsulates the Principle of Incommensurability. The Principle of Incommensurability is, for all intents and purposes, a Buddhist teaching.
The goal of The-OM-Particle is to unify physics by defining all observables (in the universe) in terms of the Principle of Incommensurability. In the cosmology that I am proposing, the “Principle of Incommensurability” is the rule, not the exception. This is what “drives” the universe to behave the way it does. All “phenomenon” in the universe can be explained and understood in terms of the Principle of Incommensurability or PI for short. Many mysteries of the universe can be explained and/or intuited using PI. To that end, the Principle of Incommensurability is a unifying principle.
Below is a summary of many of the incommensurate principles that will be discussed in The-OM-Particle. Here, I will be using “In the beginning…” as a teaching to tool to help you remember the concepts. Each of these concepts will elaborated on further, in future sections of the book.
Counter-space, Space, Fractal
In the beginning was counter-space, and god said “let there be space”. Space and counter-space are incommensurate principles. Counter-space is not space and space is not counter-space. Space is the absence of counter-space and vice versa. Counter-space and space form a conjugate relationship which is responsible for the phenomenon known as fractal. In nature, fractals appear BETWEEN the domains of space and counter-space. Counter-space is what is missing from the language of modern physics. Counter-space is the missing piece of the puzzle. Without the concept of counter-space, unification is impossible.
Darkness, Light, Colour
In the beginning was darkness, and god said “let there be light”. Darkness and light are incommensurate principles. Light is not darkness and darkness is not light. Darkness is the absence of light, and vice versa. Darkness and light form a conjugate relationship resulting in phenomenon we perceive as colour. Every colour of light oscillates at a different frequency. Frequency is BETWEEN darkness and light. Light oscillates BETWEEN space and counter-space.
Silence, Sound, Music
In the beginning was silence, and god said, “let there be sound”. Silence and sound are incommensurate principles. Sound is not silence and silence is not sound. Silence is the absence of sound and vice versa. Silence and sound form a conjugate relationship resulting in phenomenon such as music and rhythm.
Stillness, Motion, Dance
In the beginning was stillness, and god said, “let there be motion”. Stillness and motion are incommensurate principles. Stillness is not motion and motion is not stillness. Stillness is the absence of motion and vice versa. Stillness and motion form a conjugate relationship resulting in phenomenon such as dance and transportation.
Emptiness, Fullness, Fulfillment.
In the beginning was emptiness, and god said, “let there be fullness”. Emptiness and fullness are incommensurate principles. Emptiness is not fullness and vice versa. Emptiness and fullness form a conjugate relationship creating the phenomenon we perceive as as fulfillment. Fulfillment is between emptiness and fullness. This is how the Principle of Incommensurability can be used as a Buddhist teaching.
Zero, One, Binary
In the beginning was zero, and god said, “let there be one”. Zero and one are incommensurate principles. Zero is not one and vice versa. Zero and one work together in a conjugate fashion in the creation of the binary system.
Bound, Unbound, Coupled
In the beginning were bound states, and god “let there be unbound states”. Bound and unbound are incommensurate principles. Bound is not unbound and vice versa. The conjugate of bound and unbound are coupled states corresponding to links and connections that can be broken and reformed.
Connected, Disconnected, Interconnected
In the beginning was connected, and god said “let there be disconnected”. Connected and disconnected are incommensurate principles. The conjugate of these two principles is interconnected. Interconnection is a play between connected states and disconnected states.
Dark Matter, Dark Energy, Visible Matter
In the beginning was dark matter, and god said, “let there be dark energy”. Dark matter and dark energy are incommensurate principles. Dark matter is the absence of dark energy and vice versa. Visible matter is the conjugate of dark matter and dark energy. Visible matter is BETWEEN these two incommensurate principles.
Black Hole, Photon Sphere, Event Horizon
In the beginning was black hole, and god said, let there be photon sphere. Black holes and photon spheres are incommensurate principles. The conjugate of these two incommensurate principles is the event horizon. Event horizons are BETWEEN black holes and photon spheres. Event horizons are fractal in nature. This is what the Mandelbrot Set taught me.
Deterministic, Unpredictable, Chaos
In the beginning was deterministic, and god said “let there be unpredictable”. Deterministic and unpredictable are incommensurate principles. Deterministic is not unpredictable and vice versa. Chaos, as in chaos theory, is the conjugate of determinism and unpredictability. In mathematics, chaotic systems are both unpredictable and deterministic. Although the output of a chaotic equation is completely determined by its input parameters, the output value cannot be predicted with any certainty. Chaos is BETWEEN these two incommensurate principles. This is why chaos is closely related to fractal geometry. Fractals appear BETWEEN incommensurate states.
Absorption, Emission, Light
In the beginning was absorption, and god said “let there be emission”. Absorption and emission are incommensurate principles. Between absorption and emission, we have light energy. In order for light energy to exist, it must be “emitted”. In order for light to be perceived, it must be “absorbed”.