Epsilon=One
07-21-2005, 08:05 AM
Riemann was one of the finest pure mathematicians of his century. ...within his mind burned the desire to understand the nature of the physical world...
Anticipating relativity and modern cosmology, Riemann understood that in order to grasp the meaning of the physical world, one had to develop a deep understanding of...geometry.
Amir D. Aczel [circa 1953- ]
-God's Equation, 1999
The general theory of relativity splendidly justified his (Riemann's) work.
In the mathematical apparatus developed from Riemann's address, Einstein found the frame to fit his physical ideas, his cosmology, and cosmogony: and the spirit of Riemann's address was just what physics needed: the metric structure determined by data.
Hans Freudenthal [1905-1990]
-Dictionary of Scientific Biography, 1970-90
Taisoid is a neologism for Tangent, Integer/Infinity Spheroid.
www.epsilon-1.com/Taisoid (http://www.epsilon-1.com/Taisoid)
A Taisoid is based upon the mathematics of Tini Cirts (a neologism for Tangent, Integer, Infinity Circle Terms).
Taisoid mathematics is one branch of Unimetry, the geometry of the Universe.
Taisoids heuristically describe the internal structure of Ultrons (proto-atoms) that are analogous to “dark” matter.
Tinicir is an acronym for Tangent, Integer, Infinite Circles. Tinicirs have curvatures that are natural Integers; and, Tinicirs are special ellipses that are generated from a series of unending sequences with unending terms that are reciprocals of Natural Integers.
A Tinicir Group contains circles wherein every circle (a circle is a special ellipse) is tangent to its adjacent circles; and, every curvature (the reciprocal of a circle's diameter, 1/d) is an integer.
There is a circle, with a decreasing integer diameter (integers are important because they represent solitons, half waves, which are the most discrete form of energy), that is tangent to all adjacent circles that continues to the infinitesimal, for every open space either between every tangent circle or within every tangent circle; that is:
Within any group of three mutually tangent integer circles that are within any circle, there exists no space, to the infinitesimal, that does not contain an integer diameter circle that is tangent to all of its adjacent group of three mutually tangent circles.
The formula, for four mutually tangent circles (where a, b, c, and d represent the circles' curvature), is:
a^2 + b^2 + c^2 + d^2 = (a + b + c + d)^2 / 2
The curvature (the reciprocal of the diameter) is negative or positive depending upon whether the curvature is concave or convex.
Every integer diameter belongs to an array that contains endless sequences and terms; each array is defined by two, and occasionally only one, integer; these defining integers are referred to as: Tini Cirts. (See above)
There are at least three Tini Cirts that begin with the integer One, 1, for every other Natural Integer, above Zero, there are more Tini Cirts.
The heuristic Pulsoid, a Taisoid , has twelve tangent inner spheres, each of which, represents a solitonic pulse.
These solitonic pulses exchange energy with their adjacent pulses, which balances and sustains each soliton. This exchange of energy between the solitons is referred to as a: Solitonic Bond.
Solitonic Bonds are the fundamental phenomenon that creates the bonds of sub-atomic particles, atoms, and molecules (Linus Pauling liked this idea).
The internal energy is provided from the chain of Tini Circle Spheres generated from the infinitesimal.
I've often wondered how Einstein could...make such a simple assumption... the universe is so simple that we can analyze it in a one-dimensional differential equation--everything a function of time...Einstein...was awfully close to the truth--that's the way the universe looks.
James Peebles [1935- ]
-Origins: The Lives and Worlds of
Modern Cosmologists, 1990,
by A. Lightman and R. Brawer
Researchers have hypothesized that Einstein extended his quest to the entire universe because of an idea of Ernst Mach.
...Mach's law of inertia. ...says that...inertia...is an effect...due to...all other mass in the universe.
Amir D. Aczel [circa 1953- ]
-God's Equation, 1999; and
Max Born [1882-1970]
-Einstein's Theory of Relativity, 1965
Anticipating relativity and modern cosmology, Riemann understood that in order to grasp the meaning of the physical world, one had to develop a deep understanding of...geometry.
Amir D. Aczel [circa 1953- ]
-God's Equation, 1999
The general theory of relativity splendidly justified his (Riemann's) work.
In the mathematical apparatus developed from Riemann's address, Einstein found the frame to fit his physical ideas, his cosmology, and cosmogony: and the spirit of Riemann's address was just what physics needed: the metric structure determined by data.
Hans Freudenthal [1905-1990]
-Dictionary of Scientific Biography, 1970-90
Taisoid is a neologism for Tangent, Integer/Infinity Spheroid.
www.epsilon-1.com/Taisoid (http://www.epsilon-1.com/Taisoid)
A Taisoid is based upon the mathematics of Tini Cirts (a neologism for Tangent, Integer, Infinity Circle Terms).
Taisoid mathematics is one branch of Unimetry, the geometry of the Universe.
Taisoids heuristically describe the internal structure of Ultrons (proto-atoms) that are analogous to “dark” matter.
Tinicir is an acronym for Tangent, Integer, Infinite Circles. Tinicirs have curvatures that are natural Integers; and, Tinicirs are special ellipses that are generated from a series of unending sequences with unending terms that are reciprocals of Natural Integers.
A Tinicir Group contains circles wherein every circle (a circle is a special ellipse) is tangent to its adjacent circles; and, every curvature (the reciprocal of a circle's diameter, 1/d) is an integer.
There is a circle, with a decreasing integer diameter (integers are important because they represent solitons, half waves, which are the most discrete form of energy), that is tangent to all adjacent circles that continues to the infinitesimal, for every open space either between every tangent circle or within every tangent circle; that is:
Within any group of three mutually tangent integer circles that are within any circle, there exists no space, to the infinitesimal, that does not contain an integer diameter circle that is tangent to all of its adjacent group of three mutually tangent circles.
The formula, for four mutually tangent circles (where a, b, c, and d represent the circles' curvature), is:
a^2 + b^2 + c^2 + d^2 = (a + b + c + d)^2 / 2
The curvature (the reciprocal of the diameter) is negative or positive depending upon whether the curvature is concave or convex.
Every integer diameter belongs to an array that contains endless sequences and terms; each array is defined by two, and occasionally only one, integer; these defining integers are referred to as: Tini Cirts. (See above)
There are at least three Tini Cirts that begin with the integer One, 1, for every other Natural Integer, above Zero, there are more Tini Cirts.
The heuristic Pulsoid, a Taisoid , has twelve tangent inner spheres, each of which, represents a solitonic pulse.
These solitonic pulses exchange energy with their adjacent pulses, which balances and sustains each soliton. This exchange of energy between the solitons is referred to as a: Solitonic Bond.
Solitonic Bonds are the fundamental phenomenon that creates the bonds of sub-atomic particles, atoms, and molecules (Linus Pauling liked this idea).
The internal energy is provided from the chain of Tini Circle Spheres generated from the infinitesimal.
I've often wondered how Einstein could...make such a simple assumption... the universe is so simple that we can analyze it in a one-dimensional differential equation--everything a function of time...Einstein...was awfully close to the truth--that's the way the universe looks.
James Peebles [1935- ]
-Origins: The Lives and Worlds of
Modern Cosmologists, 1990,
by A. Lightman and R. Brawer
Researchers have hypothesized that Einstein extended his quest to the entire universe because of an idea of Ernst Mach.
...Mach's law of inertia. ...says that...inertia...is an effect...due to...all other mass in the universe.
Amir D. Aczel [circa 1953- ]
-God's Equation, 1999; and
Max Born [1882-1970]
-Einstein's Theory of Relativity, 1965