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 going 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 incommensurates.
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 vice versa, but expansion and contraction are conceptually related. The pairing of expansion and contraction allows for concepts such as breathing to exist. Why is “the breath” so important in Buddhism? Because breathing encapsulates the Principle of Incommensurability, which is technically 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. For example, convergence and divergence, emission and absorption, empty and full, stillness and motion, day and night, asleep and awake are all considered as incommensurate principles. I could go on. 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” that exist in the universe can be explained and understood in terms of the Principle of Incommensurability. To that end, the Principle of Incommensurability is a unifying principle.
Below is an exhaustive list of all the incommensurate principles along with their conjugates. Each of these concepts will be discussed in greater detail in The OM Particle.
Darkness, Light, Illumination
Silence, Sound, Music
Stillness, Motion, Dance
Zero, One, Binary
Dimensionless, Dimensional, Fractal
Same, Different, Similar
Counter-space, Space, Universe
Unobservable, Observable, Illusive
Continuous, Discrete, Quantized
Contraction, Expansion, Oscillation
Attraction, Repulsion, Neutral
Balanced, Unbalanced, Equilibrium
Bound, Unbound, Contained
Closed, Open, Circuit.
Emptiness, Fullness, Form
Tension, Pressure, Force
Dielectric, Magnetic, Electromagnetic
Potential, Kinetic, Energy
Absorption, Emission, Energy
Capacitor, Inductor, Resonance
Sink, Source, Vortex
Longitudinal, Transverse, Wave
Centripetal, Centrifugal, Spin
Resistance, Conductance, Flow
Void, Occupied, Transition
Incoherent, Coherent, Polarized
Real, Imaginary, Complex
Charge, Discharge, Current
Voltage, Current, Power
Permittivity, Permeability, Medium
Dark matter, Dark energy, Visible matter
Black hole, Photon sphere, Event horizon
Deterministic, Unpredictable, Chaos
Stability, Instability, Chaos
Stasis, Change, Evolution
Connected, Disconnected, Interconnected
Unknowable, Knowable, Uncertainty
Inseparable, Separate, Together
Creation, Destruction, Conservation
Aether, Matter, Medium
Electrons, Atoms, Molecules
Introns, Extrons, DNA
Prokaryotes, Eukaryotes, Life
Asleep, Awake, Dream
Absolute, Relative, Conscious
Inhale, Exhale, Breath
Animal, Divine, Human