Bill Clark
Nov5-04, 06:10 AM
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no, location=no,scrollbars=yes,resizable=yes,status=no ,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>You are invited to review my Ph.D dissertation at the University of\nTexas at Austin, "A General Solution to the Unrestricted Three Body\nProblem of Celestial Mechanics." There are seven sections with a\ntotal of fifty papers. Individual links and a summary of the whole\nproject are as follows:\n\n\nProject Summary and Introduction\nhttp://celestialmechanics.org/dissertation/index0.html\nan introduction to the Three Body Problem, and applications to\ncosmology\n\nA General Solution to the N - 1 Body Problem\nhttp://celestialmechanics.org/dissertation/index1.html\nuse of the Three Body Problem in Newtonian mechanical explanations for\nRelativistic phenomena such as the precession of Mercury\'s perihelion\nand the bending of light by the sun\'s gravity field on close approach\nto the sun\n\nOptimizing the Earth to Mars Trajectory\nhttp://celestialmechanics.org/dissertation/index2.html\na computer simulation of the Mars trajectory that finds a mission that\nis 30 days faster and uses 25% less fuel\n\nA Theory of F and G Forces\nhttp://celestialmechanics.org/dissertation/index3.html\na study of the Ten Body Problem, or the sun and nine planets of the\nSolar System\n\nA Unified Field Theory\nhttp://celestialmechanics.org/dissertation/index4.html\na look at the Three Body Problem of quantum mechanics, and\napplications in solid state physics in modeling a transistor junction\nand chemical bonds\n\nMathematical Constructs of Singularity\nhttp://celestialmechanics.org/dissertation/index5.html\ninsights into vector mathematics, complex analysis, and linear algebra\nas revealed by the Three Body Problem\n\nConceptual Design of a Constellation Class Starship\nhttp://celestialmechanics.org/dissertation/index6.html\nengineering applications in the study of some of the theories\npresented\n\nThe Grand Unified Field Theory\nby WH Clark\n\nThis short paper summarizes my Ph.D dissertation at the University of\nTexas at Austin in mathematical physics. The research is based on the\nsimple premise that there exists a Three Body Problem in astronomy\n(e.g. the sun-Jupiter-Trojan asteroids system, the three existing at\nthe corners of an equilateral triangle in a rotating coordinate system\n- the Apollo asteroids are at the apex of a second triangle formed by\nthe sun and Jupiter) as well as in subatomic physics, much like the\nBohr Atom of one electron orbiting on proton is a Two Body Problem\nmodel. The reason is that the equations of motion are the same for\ngravity as for electrostatics - Newton\'s Law of Gravity and Coloumb\'s\nLaw, respectively - only differing by a constant of proportionality.\n\nA Unified Field Theory strives to present all the forces of nature in\na single context. The Three Body Problem (3BP) comes close to doing\njust that, as it already represents the forces causing the motion of\nstars and the forces causing the motion of electrons. My research\nsimply develops these ideas further into a comprehensive model of\nenergy and matter at all levels in between these extremes.\n\nThe Theory consists of fifty individual papers, with many cross\nreferences (which are nice on the website because you can follow the\ntrail of hyper links), and gives all the basic ideas on the 3BP that\nanybody - scientist or layman - needs to follow the material. There\nare 150 illustrations that show all the ideas schematically, so that\nit is not even necessary to have a background in mathematics or\nastronomy.\n\nThe centerpiece of the Theory is a computer model of the Earth to Mars\ntrajectory that finds a trajectory that uses 25% less fuel and arrives\nat Mars one month faster than any other mission profile. These\nresults were so dramatic that it was necessary to find a theoretical\nbasis for the algorithm solution.\n\nThe 3BP exists at the atomic and astronomical levels. Fractal Theory\nsays that there is a continuum of repetitions of this fundamental\npattern in between these extremes. The Theory shows this to be the\ncase by modeling chemical bonds on the 3BP, as well the transistor\njunction diode, and other well known phenomena - at increasing orders\nof magnitude.\n\nOn the level of planets there is our Solar System, where two distinct\ngravitational regimes exist. One for the inner planets (e.g. Mercury,\nVenus, Earth, Mars) that are small, solid and close to the Sun. The\nother applies to the outer planets which are all gas giants.\n\nThe Theory shows distinct gravitational regimes exist for the inner\nand outer planets, forming independent gravitational fields. When\nthese fields meet they form a shock wave. This happens in any fluid\nor electromagnetic media. When two wave fronts meet they form a third\nwave front that is faster than either of its constituents.\n\nThe Earth to Mars trajectory follows such a boundary layer region, and\nso it is possible to get to Mars faster than a spacecraft restricted\nto just the regime of the inner planets. The corollary to this super\nfast trajectory on the atomic level is a bonding orbital between atoms\nand molecules. There are several papers on the Mars computer program,\nplus the source code, and complied versions of the program you can\ndownload.\n\nThe Theory fits nicely into existing work. These boundaries between\ngravitational regimes are Gravity Strings, in an intergalactic frame\nof reference. The Theory shows Relativistic phenomena, as in the\nprecession of Mercury\'s perihelion and the distortion of space-time in\nnear the Sun. It even supports Stephen Hawking\'s conjectures this\npast summer, about black holes having "degrees of blackness" so they\nare not always as extreme, and sometimes allow some "information" to\nescape.\n\nAll of these correlations are carried out at two levels -\nmathematically, and using geometry. The results offer profound\ninsights not only into gravitational and intermolecular forces, but\nprovide compelling revelations in many fundamental mathematical fields\n- most notably, linear algebra and complex analysis.\n\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form"> View this Usenet post in original ASCII form </a></div><P></jabberwocky>You are invited to review my Ph.D dissertation at the University of
Texas at Austin, "A General Solution to the Unrestricted Three Body
Problem of Celestial Mechanics." There are seven sections with a
total of fifty papers. Individual links and a summary of the whole
project are as follows:
Project Summary and Introduction
http://celestialmechanics.org/dissertation/index0.html
an introduction to the Three Body Problem, and applications to
cosmology
A General Solution to the N - 1 Body Problem
http://celestialmechanics.org/dissertation/index1.html
use of the Three Body Problem in Newtonian mechanical explanations for
Relativistic phenomena such as the precession of Mercury's perihelion
and the bending of light by the sun's gravity field on close approach
to the sun
Optimizing the Earth to Mars Trajectory
http://celestialmechanics.org/dissertation/index2.html
a computer simulation of the Mars trajectory that finds a mission that
is 30 days faster and uses 25% less fuel
A Theory of F and G Forces
http://celestialmechanics.org/dissertation/index3.html
a study of the Ten Body Problem, or the sun and nine planets of the
Solar System
A Unified Field Theory
http://celestialmechanics.org/dissertation/index4.html
a look at the Three Body Problem of quantum mechanics, and
applications in solid state physics in modeling a transistor junction
and chemical bonds
Mathematical Constructs of Singularity
http://celestialmechanics.org/dissertation/index5.html
insights into vector mathematics, complex analysis, and linear algebra
as revealed by the Three Body Problem
Conceptual Design of a Constellation Class Starship
http://celestialmechanics.org/dissertation/index6.html
engineering applications in the study of some of the theories
presented
The Grand Unified Field Theory
by WH Clark
This short paper summarizes my Ph.D dissertation at the University of
Texas at Austin in mathematical physics. The research is based on the
simple premise that there exists a Three Body Problem in astronomy
(e.g. the sun-Jupiter-Trojan asteroids system, the three existing at
the corners of an equilateral triangle in a rotating coordinate system
- the Apollo asteroids are at the apex of a second triangle formed by
the sun and Jupiter) as well as in subatomic physics, much like the
Bohr Atom of one electron orbiting on proton is a Two Body Problem
model. The reason is that the equations of motion are the same for
gravity as for electrostatics - Newton's Law of Gravity and Coloumb's
Law, respectively - only differing by a constant of proportionality.
A Unified Field Theory strives to present all the forces of nature in
a single context. The Three Body Problem (3BP) comes close to doing
just that, as it already represents the forces causing the motion of
stars and the forces causing the motion of electrons. My research
simply develops these ideas further into a comprehensive model of
energy and matter at all levels in between these extremes.
The Theory consists of fifty individual papers, with many cross
references (which are nice on the website because you can follow the
trail of hyper links), and gives all the basic ideas on the 3BP that
anybody - scientist or layman - needs to follow the material. There
are 150 illustrations that show all the ideas schematically, so that
it is not even necessary to have a background in mathematics or
astronomy.
The centerpiece of the Theory is a computer model of the Earth to Mars
trajectory that finds a trajectory that uses 25% less fuel and arrives
at Mars one month faster than any other mission profile. These
results were so dramatic that it was necessary to find a theoretical
basis for the algorithm solution.
The 3BP exists at the atomic and astronomical levels. Fractal Theory
says that there is a continuum of repetitions of this fundamental
pattern in between these extremes. The Theory shows this to be the
case by modeling chemical bonds on the 3BP, as well the transistor
junction diode, and other well known phenomena - at increasing orders
of magnitude.
On the level of planets there is our Solar System, where two distinct
gravitational regimes exist. One for the inner planets (e.g. Mercury,
Venus, Earth, Mars) that are small, solid and close to the Sun. The
other applies to the outer planets which are all gas giants.
The Theory shows distinct gravitational regimes exist for the inner
and outer planets, forming independent gravitational fields. When
these fields meet they form a shock wave. This happens in any fluid
or electromagnetic media. When two wave fronts meet they form a third
wave front that is faster than either of its constituents.
The Earth to Mars trajectory follows such a boundary layer region, and
so it is possible to get to Mars faster than a spacecraft restricted
to just the regime of the inner planets. The corollary to this super
fast trajectory on the atomic level is a bonding orbital between atoms
and molecules. There are several papers on the Mars computer program,
plus the source code, and complied versions of the program you can
download.
The Theory fits nicely into existing work. These boundaries between
gravitational regimes are Gravity Strings, in an intergalactic frame
of reference. The Theory shows Relativistic phenomena, as in the
precession of Mercury's perihelion and the distortion of space-time in
near the Sun. It even supports Stephen Hawking's conjectures this
past summer, about black holes having "degrees of blackness" so they
are not always as extreme, and sometimes allow some "information" to
escape.
All of these correlations are carried out at two levels -
mathematically, and using geometry. The results offer profound
insights not only into gravitational and intermolecular forces, but
provide compelling revelations in many fundamental mathematical fields
- most notably, linear algebra and complex analysis.
Texas at Austin, "A General Solution to the Unrestricted Three Body
Problem of Celestial Mechanics." There are seven sections with a
total of fifty papers. Individual links and a summary of the whole
project are as follows:
Project Summary and Introduction
http://celestialmechanics.org/dissertation/index0.html
an introduction to the Three Body Problem, and applications to
cosmology
A General Solution to the N - 1 Body Problem
http://celestialmechanics.org/dissertation/index1.html
use of the Three Body Problem in Newtonian mechanical explanations for
Relativistic phenomena such as the precession of Mercury's perihelion
and the bending of light by the sun's gravity field on close approach
to the sun
Optimizing the Earth to Mars Trajectory
http://celestialmechanics.org/dissertation/index2.html
a computer simulation of the Mars trajectory that finds a mission that
is 30 days faster and uses 25% less fuel
A Theory of F and G Forces
http://celestialmechanics.org/dissertation/index3.html
a study of the Ten Body Problem, or the sun and nine planets of the
Solar System
A Unified Field Theory
http://celestialmechanics.org/dissertation/index4.html
a look at the Three Body Problem of quantum mechanics, and
applications in solid state physics in modeling a transistor junction
and chemical bonds
Mathematical Constructs of Singularity
http://celestialmechanics.org/dissertation/index5.html
insights into vector mathematics, complex analysis, and linear algebra
as revealed by the Three Body Problem
Conceptual Design of a Constellation Class Starship
http://celestialmechanics.org/dissertation/index6.html
engineering applications in the study of some of the theories
presented
The Grand Unified Field Theory
by WH Clark
This short paper summarizes my Ph.D dissertation at the University of
Texas at Austin in mathematical physics. The research is based on the
simple premise that there exists a Three Body Problem in astronomy
(e.g. the sun-Jupiter-Trojan asteroids system, the three existing at
the corners of an equilateral triangle in a rotating coordinate system
- the Apollo asteroids are at the apex of a second triangle formed by
the sun and Jupiter) as well as in subatomic physics, much like the
Bohr Atom of one electron orbiting on proton is a Two Body Problem
model. The reason is that the equations of motion are the same for
gravity as for electrostatics - Newton's Law of Gravity and Coloumb's
Law, respectively - only differing by a constant of proportionality.
A Unified Field Theory strives to present all the forces of nature in
a single context. The Three Body Problem (3BP) comes close to doing
just that, as it already represents the forces causing the motion of
stars and the forces causing the motion of electrons. My research
simply develops these ideas further into a comprehensive model of
energy and matter at all levels in between these extremes.
The Theory consists of fifty individual papers, with many cross
references (which are nice on the website because you can follow the
trail of hyper links), and gives all the basic ideas on the 3BP that
anybody - scientist or layman - needs to follow the material. There
are 150 illustrations that show all the ideas schematically, so that
it is not even necessary to have a background in mathematics or
astronomy.
The centerpiece of the Theory is a computer model of the Earth to Mars
trajectory that finds a trajectory that uses 25% less fuel and arrives
at Mars one month faster than any other mission profile. These
results were so dramatic that it was necessary to find a theoretical
basis for the algorithm solution.
The 3BP exists at the atomic and astronomical levels. Fractal Theory
says that there is a continuum of repetitions of this fundamental
pattern in between these extremes. The Theory shows this to be the
case by modeling chemical bonds on the 3BP, as well the transistor
junction diode, and other well known phenomena - at increasing orders
of magnitude.
On the level of planets there is our Solar System, where two distinct
gravitational regimes exist. One for the inner planets (e.g. Mercury,
Venus, Earth, Mars) that are small, solid and close to the Sun. The
other applies to the outer planets which are all gas giants.
The Theory shows distinct gravitational regimes exist for the inner
and outer planets, forming independent gravitational fields. When
these fields meet they form a shock wave. This happens in any fluid
or electromagnetic media. When two wave fronts meet they form a third
wave front that is faster than either of its constituents.
The Earth to Mars trajectory follows such a boundary layer region, and
so it is possible to get to Mars faster than a spacecraft restricted
to just the regime of the inner planets. The corollary to this super
fast trajectory on the atomic level is a bonding orbital between atoms
and molecules. There are several papers on the Mars computer program,
plus the source code, and complied versions of the program you can
download.
The Theory fits nicely into existing work. These boundaries between
gravitational regimes are Gravity Strings, in an intergalactic frame
of reference. The Theory shows Relativistic phenomena, as in the
precession of Mercury's perihelion and the distortion of space-time in
near the Sun. It even supports Stephen Hawking's conjectures this
past summer, about black holes having "degrees of blackness" so they
are not always as extreme, and sometimes allow some "information" to
escape.
All of these correlations are carried out at two levels -
mathematically, and using geometry. The results offer profound
insights not only into gravitational and intermolecular forces, but
provide compelling revelations in many fundamental mathematical fields
- most notably, linear algebra and complex analysis.