Epsilon=One
08-06-2005, 03:27 AM
The Elliptical Constant (EC)
(If no image appears below, "Click" your browser "Refresh" icon.)
http://i.g2d.us/Euclid_comp.jpg
This post is in memoriam:
Euclid of Alexandria (www.CQthus.com/Euclid) [ca. 325 - ca. 265 B.C.E.]
There is a constant for ellipses, more so than "pi" is a constant for circles, such that the relationship of every structural part, for any ellipse to a similar structural part of any other ellipse, is always the same ratio as expressed by the same simple equation. This constant, often expressed as a difference or the radius of Infinity (ROI), is true for ellipses of any size . . . from smaller than a Planck quantum to larger than the orbits of galactic stars.
The Elliptical Constant (EC), εpsilon, “ε,” is, Naturally, directly related to Pi (www.CQthus.com/ECandPi), “π.”
It is the EC, a heuristic definition of the Conceptual Unit (CU) (www.101123.com/CU), that makes Pulsoid Theory (www.101123.com/PT) "work." Seminal motion (www.101123.com/SM), Pure motion, is interrupted by the resultant harmony and resonance of seminal motion (www.101123.com/SM) that is created when the CU is found among the chaos of hyper-relativistic motion of dynamic, emergent separation (www.101123.com/DES) (DES) when a dimensionless point separates from a dimensionless sphere.
In accordance with the principles of Unimetry's (1.Unimetry.com) Brunardot Theorem (www.101123.com/BT ) and Conceptual Ellipses (www.101123.com/CE), all salient structural values of any elliptical shape are Natural integers (www.101123.com/NI), which are multiples of the EC.
The Brunardot Theorem (www.101123.com/BT) describes every ellipse; and, every elliptical shape is a Conceptual Ellipse (www.101123.com/CE) when the EC, εpsilon, equals One.
Thus, it is the EC, as a common denominator that equals One, that fundamentally establishes the integers of all number systems. Thus, every number system is fundamentally derived from the ellipsoids of seminal motion (www.101123.com/SM) as they are the fundamental basis of elliptic structures.
Thus, numbers because
they occur from the internal structure
of the ellipsoids of seminal motion
can be considered as analogous to
other dimension that so evolve;
such as the simultaneous occurrence of time;
which is preceded by the concepts of
orthogonality and the Inverse Square Law (www.101123.com/ISL).
The discovery of the EC and its significance is a most important milestone in the history of mathematics.
It is the EC that reconciles, with one another: the spin of fermions and bosons; accelerating, galactic recession; and, Natural integers.
The Proof of One (www.101123.com/e=1), which “One” is the Elliptical Constant, ε = One.
It is the EC that sets the “beat” of the metronome of Reality (www.101123.com/metro), which adds the “pulse” to Triquametric motion (www.101123.com/TM). It is this constant pulse that is the “clock” effect referred to as fundamental, intrinsic time (www.101123.com/FIT) (FIT).Every elliptical shape (which is the fundamental construct of all of the phenomena that exists) is related by the Elliptical Constant (EC); if otherwise, how else could there be the resonance within a Pulsoid (www.101123.com/P)? This resonance results in the perfection of the Resoloid (www.101123.com/R-loid) from which all observed phenomena is derived.
It is the geometry of the EC, which underlies the Conceptual Unit (www.101123.com/CU). It is the Conceptual Unit (www.101123.com/CU) that sets the resonance of seminal motion (www.101123.com/SM) (SM) that creates the "escapement effect" that creates the "clock" that measures fundamental, intrinsic time (www.101123.com/FIT) (FIT) that synchronizes the pulse of the Pulsoid (http://www.101123.com/P).
The Elliptical Constant is the Rosetta Stone for all Knowledge and Wisdom; as, it is the EC that supports the logic of the universal Proof of One (www.101123.com/PoO), which rationalizes the concepts of the Pulsoid Theory (www.101123.com/OV) as a significant candidate for the theory of everything (TOE).
Some other corollaries of the Elliptical Constant (EC), in addition to the universal Proof of One (www.101123.com/PoO), are: Conceptual Ellipses (www.101123.com/CE), the Brunardot Series (www.101123.com/BS), the revised Fibonacci sequence (www.101123.com/rFS), the orthogonal dimensions (www.101123.com/D), the Inverse Square Law (www.101123.com/ISL), and the internal geometry of a light wave (www.101123.com/Lightg).
It is the Pulsoid Theory (www.101123.com/PT) that: 1.) Redefines Pure Mathematics (www.101123.com/PM), which is a foundation for all physical theory; 2.) Explains the amazing mathematics of: the photon effect; subatomic and chemical bonds; “dark” energy (www.101123.com/DE); and “dark” matter (www.101123.com/DM); etc.; 3.) And, thus, ultimately unites Science, Theology, and Philosophy.
Despite the keen logic (www.CQthus.com/GIT) of Kurt Gödel (www.CQthus.com/gonas), the Elliptical Constant demonstrates that it is possible to determine the value of any element of a system, including One, within the system itself, by establishing One as per the universal Proof of One (www.101123.com/PoO). The significance of this observation concerning the Elliptical Constant and the universal Proof of One (www.101123.com/PoO) is that every physical manifestation evolves from the ellipse.
(If no image appears below, "Click" your browser "Refresh" icon.)
http://i.g2d.us/let610.gif
The power of the Elliptical Constant is demonstrated by the vector radius, “oV,” of the above inscribed circle, CDH, which is an integer that equals one-half the sum of the amplitude (Line CF) minus the perigee (Line EB) for any Pulsoidal Ellipse (www.101123.com/PE) (PE). And, of course, similarly, the hypotenuse radius, "Hr," is equal to the Key (Line oP), which is an integer multiple of the Elliptical Constant (h - w, 2p - r, etc.).
The Elliptical Constant (εpsilon = One)
can be expressed in many ways such as:
from the Brunardot Theorem, c² = 2v² – s²,
for any ellipse when v = εP²,
ε = v / P².
(ε = εpsilon; c = chord; s = soliton; v = vector; and P = Pulse)
Also, ε = P – K;
ε = h – w;
ε = 2P – r;
ε = v – r';
ε = h' – v
ε = w' – r; etc.
(K = Key; h = hypotenuse; h' = hypotenuse, acute; r = radius;
r' = radius, acute; w= wave; w' = wave, acute.)
Pulse Three Emergent Ellipse (Acute and Obtuse)
(If no image appears below, "Click" your browser "Refresh" icon.)
http://i.g2d.us/ee2-350.gif
©Copyright 2006-2008 by Brunardot. All rights reserved.
Terms: PhysicsMathForums.com, Brunardot, and Pulsoid Theory must be cited.
Sorry! This Thread has not been completed.
Please Bookmark and return to this site often.
If there is an immediate need for information,
please e-mail directly at the below "Click" link.
Please note that any private correspondence
may be edited and anonymously posted unless
requested otherwise.
Every effort will be made to expedite a reply
with the requested information.Please ask questions. :)
With questions it’s possible to know if
comments are logical and convincing;
or whether clarification is required.
http://1.g2d.us/e.gifhttp://2.g2d.us/e.gifhttp://3.g2d.us/e.gifhttp://4.g2d.us/e.gifhttp://5.g2d.us/e.gif
http://6.g2d.us/e.gif
If images don’t display, "click" the Refresh Icon.
(If no image appears below, "Click" your browser "Refresh" icon.)
http://i.g2d.us/Euclid_comp.jpg
This post is in memoriam:
Euclid of Alexandria (www.CQthus.com/Euclid) [ca. 325 - ca. 265 B.C.E.]
There is a constant for ellipses, more so than "pi" is a constant for circles, such that the relationship of every structural part, for any ellipse to a similar structural part of any other ellipse, is always the same ratio as expressed by the same simple equation. This constant, often expressed as a difference or the radius of Infinity (ROI), is true for ellipses of any size . . . from smaller than a Planck quantum to larger than the orbits of galactic stars.
The Elliptical Constant (EC), εpsilon, “ε,” is, Naturally, directly related to Pi (www.CQthus.com/ECandPi), “π.”
It is the EC, a heuristic definition of the Conceptual Unit (CU) (www.101123.com/CU), that makes Pulsoid Theory (www.101123.com/PT) "work." Seminal motion (www.101123.com/SM), Pure motion, is interrupted by the resultant harmony and resonance of seminal motion (www.101123.com/SM) that is created when the CU is found among the chaos of hyper-relativistic motion of dynamic, emergent separation (www.101123.com/DES) (DES) when a dimensionless point separates from a dimensionless sphere.
In accordance with the principles of Unimetry's (1.Unimetry.com) Brunardot Theorem (www.101123.com/BT ) and Conceptual Ellipses (www.101123.com/CE), all salient structural values of any elliptical shape are Natural integers (www.101123.com/NI), which are multiples of the EC.
The Brunardot Theorem (www.101123.com/BT) describes every ellipse; and, every elliptical shape is a Conceptual Ellipse (www.101123.com/CE) when the EC, εpsilon, equals One.
Thus, it is the EC, as a common denominator that equals One, that fundamentally establishes the integers of all number systems. Thus, every number system is fundamentally derived from the ellipsoids of seminal motion (www.101123.com/SM) as they are the fundamental basis of elliptic structures.
Thus, numbers because
they occur from the internal structure
of the ellipsoids of seminal motion
can be considered as analogous to
other dimension that so evolve;
such as the simultaneous occurrence of time;
which is preceded by the concepts of
orthogonality and the Inverse Square Law (www.101123.com/ISL).
The discovery of the EC and its significance is a most important milestone in the history of mathematics.
It is the EC that reconciles, with one another: the spin of fermions and bosons; accelerating, galactic recession; and, Natural integers.
The Proof of One (www.101123.com/e=1), which “One” is the Elliptical Constant, ε = One.
It is the EC that sets the “beat” of the metronome of Reality (www.101123.com/metro), which adds the “pulse” to Triquametric motion (www.101123.com/TM). It is this constant pulse that is the “clock” effect referred to as fundamental, intrinsic time (www.101123.com/FIT) (FIT).Every elliptical shape (which is the fundamental construct of all of the phenomena that exists) is related by the Elliptical Constant (EC); if otherwise, how else could there be the resonance within a Pulsoid (www.101123.com/P)? This resonance results in the perfection of the Resoloid (www.101123.com/R-loid) from which all observed phenomena is derived.
It is the geometry of the EC, which underlies the Conceptual Unit (www.101123.com/CU). It is the Conceptual Unit (www.101123.com/CU) that sets the resonance of seminal motion (www.101123.com/SM) (SM) that creates the "escapement effect" that creates the "clock" that measures fundamental, intrinsic time (www.101123.com/FIT) (FIT) that synchronizes the pulse of the Pulsoid (http://www.101123.com/P).
The Elliptical Constant is the Rosetta Stone for all Knowledge and Wisdom; as, it is the EC that supports the logic of the universal Proof of One (www.101123.com/PoO), which rationalizes the concepts of the Pulsoid Theory (www.101123.com/OV) as a significant candidate for the theory of everything (TOE).
Some other corollaries of the Elliptical Constant (EC), in addition to the universal Proof of One (www.101123.com/PoO), are: Conceptual Ellipses (www.101123.com/CE), the Brunardot Series (www.101123.com/BS), the revised Fibonacci sequence (www.101123.com/rFS), the orthogonal dimensions (www.101123.com/D), the Inverse Square Law (www.101123.com/ISL), and the internal geometry of a light wave (www.101123.com/Lightg).
It is the Pulsoid Theory (www.101123.com/PT) that: 1.) Redefines Pure Mathematics (www.101123.com/PM), which is a foundation for all physical theory; 2.) Explains the amazing mathematics of: the photon effect; subatomic and chemical bonds; “dark” energy (www.101123.com/DE); and “dark” matter (www.101123.com/DM); etc.; 3.) And, thus, ultimately unites Science, Theology, and Philosophy.
Despite the keen logic (www.CQthus.com/GIT) of Kurt Gödel (www.CQthus.com/gonas), the Elliptical Constant demonstrates that it is possible to determine the value of any element of a system, including One, within the system itself, by establishing One as per the universal Proof of One (www.101123.com/PoO). The significance of this observation concerning the Elliptical Constant and the universal Proof of One (www.101123.com/PoO) is that every physical manifestation evolves from the ellipse.
(If no image appears below, "Click" your browser "Refresh" icon.)
http://i.g2d.us/let610.gif
The power of the Elliptical Constant is demonstrated by the vector radius, “oV,” of the above inscribed circle, CDH, which is an integer that equals one-half the sum of the amplitude (Line CF) minus the perigee (Line EB) for any Pulsoidal Ellipse (www.101123.com/PE) (PE). And, of course, similarly, the hypotenuse radius, "Hr," is equal to the Key (Line oP), which is an integer multiple of the Elliptical Constant (h - w, 2p - r, etc.).
The Elliptical Constant (εpsilon = One)
can be expressed in many ways such as:
from the Brunardot Theorem, c² = 2v² – s²,
for any ellipse when v = εP²,
ε = v / P².
(ε = εpsilon; c = chord; s = soliton; v = vector; and P = Pulse)
Also, ε = P – K;
ε = h – w;
ε = 2P – r;
ε = v – r';
ε = h' – v
ε = w' – r; etc.
(K = Key; h = hypotenuse; h' = hypotenuse, acute; r = radius;
r' = radius, acute; w= wave; w' = wave, acute.)
Pulse Three Emergent Ellipse (Acute and Obtuse)
(If no image appears below, "Click" your browser "Refresh" icon.)
http://i.g2d.us/ee2-350.gif
©Copyright 2006-2008 by Brunardot. All rights reserved.
Terms: PhysicsMathForums.com, Brunardot, and Pulsoid Theory must be cited.
Sorry! This Thread has not been completed.
Please Bookmark and return to this site often.
If there is an immediate need for information,
please e-mail directly at the below "Click" link.
Please note that any private correspondence
may be edited and anonymously posted unless
requested otherwise.
Every effort will be made to expedite a reply
with the requested information.Please ask questions. :)
With questions it’s possible to know if
comments are logical and convincing;
or whether clarification is required.
http://1.g2d.us/e.gifhttp://2.g2d.us/e.gifhttp://3.g2d.us/e.gifhttp://4.g2d.us/e.gifhttp://5.g2d.us/e.gif
http://6.g2d.us/e.gif
If images don’t display, "click" the Refresh Icon.