Number theory
By Marinus Jan Marijs
Number theory and Theoretical physics
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9 Octonians principles of String theory
The octonions can be thought of as octets (or 8-tuples) of real numbers Every octonion is a real linear combination of the unit octonions: where
e0 is the scalar or real element; it may be identified with the real number 1.
What is the difference between quaternion and octonion?
Octonions have eight dimensions; twice the number of dimensions of the quaternions, of which they are an extension.
8 Quaternions principles of Quantum field theory
The quotient of two directed lines in a three-dimensional space, or, equivalently as the quotient of two vectors.
7 Complex numbers principles of Quantum physics the combination of real and imaginary numbers
Schrodinger’s equation
principles of general relativity
6 Reals (numbers) principles of Einsteinian physics
number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperatureMinkowski space.
Non-Euclidian geometry
Riemannian geometry
Maxwell’s equation
5 Rationals (numbers) principles of Newtonian physics
Any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number)
Differential and integral Calculus
Euclidian geometry
4 Integers (numbers) principles of comprehensiveness
number that can be positive,
negative, or zero.
3 Whole numbers principles of provability
any positive number
2 Natural numbers principles of counting
1 Units principles of quantity (more or less)
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"A philosophical treatise can be mostly written in object or process language,
but phenomenological descriptions must be by its very nature first person descriptions.
It is for this reason that self-observations, and personal experiences of the author are included."
Marinus Jan Marijs.