| Topic: |
Science > Physics |
| User: |
"Einsteinhoax" |
| Date: |
25 Mar 2005 08:58:53 AM |
| Object: |
Examining Mathematical Approaches |
Examining Mathematical Approaches
"Great spirits have always encountered violent oppositions from mediocre
minds." - A. Einstein
I have received communications from a mathematician who asserted that
my statements about the validity of non-Euclidean Geometry were erroneous.
He apparently objected to the assertion that the definition of a straight
line was faulty for all geometries and that any non-Euclidean Geometry of N
dimensions could be contained in a Euclidean geometry of N+1 dimensions.
(The latter objection might be considered important because it implies that
GR has a responsibility to describe the Euclidean geometry of 4 spatial
dimensions implied by its assertion that our space of three dimensions is
curved. The failure to include a description of such a space does General
Relativists little credit.)
One of the arguments presented is that the geometry represented by a
circle, a mobius strip or a klein bottle cannot be embedded in a three
dimensional Euclidean geometry but can only described isometrically. If I
were to take his arguments literally I, as someone who IS embedded in a
three dimensional Euclidean space, could not draw a circle on a piece of
paper, and could not construct a klein bottle or a mobius strip! Obviously
I, and anyone else, can do so. It is apparent then that the correspondent's
mathematical approach is faulty. What he should be doing is making sure that
his mathematics is sufficient to do the job before asserting that someone
else's understanding is deficient.
To illustrate the second conclusion, that the true definition of a
straight line for any geometry is the shortest distance between two points
WHICH REMAINS WITHIN THE GEOMETRY, consider the distance between New York
and Los Angeles. In the two dimensional geometry which represents the
surface of the Earth, the shortest distance is along a great circle. It will
be noted that this meets the revised definition of the straight line for
that geometry. In terms of the three dimensional geometry represented by the
Earth as a whole, the definition also is valid. The shortest distance which
remains within the three dimensional geometry is though a tunnel which
passes about 200 miles below the Mississippi River. The revised definition
works for all geometries.
It is asserted that the force which we sense as gravity results from
the geometry of space. If one would take the trouble to examine this
conclusion he would recognize that there is no way that this would occur.
Imagine a perfectly smooth spherical planet sufficiently isolated so that
external gravitational effects could be ignored. On this planet are scribed
two great circles at right angle to each other. At the intersection of the
two lines rests a perfectly smooth steel ball and along the first line,
perhaps 30 degrees away, rests an identical ball. To simplify the argument
let us consider that the balls can roll over the planet's surface with zero
friction. If the balls are started rolling in a direction at right angles to
the first line, they will follow great circle paths and will approach each
other. A GR geometer would assert that, due to the curved space represented
by the two dimensional geometry, the balls experienced a force which would
cause them to approach each other since they followed a curved path. There
is a difficulty with this idea however. The balls could be stopped anywhere
along the path and they would remain where they were showing that an
attractive force between them did not exist! The force that caused them to
approach each other is a vector component of the force of gravity which is
at all times normal to the surface and therefore cannot be sensed in the two
dimensional geometry of the surface. To make the statement more forcefully,
THERE IS NO WAY IN @#$% THAT GEOMETRY CAN PRODUCE THE FORCE OF GRAVITY!
The source material for this posting may be found in "Gravity" (1987),
"The Einstein Hoax" (1997), and "Corrections to Residual Errors in Special
Relativity (1999) located at
http://members.isp.com//einsteinhoax/site.htm .
EVERYTHING WHICH WE ACCEPT AS TRUE MUST BE CONSISTENT WITH EVERYTHING ELSE
WE HAVE ACCEPTED AS TRUE, IT MUST BE CONSISTENT WITH ALL OBSERVATIONS, AND
IT MUST BE MATHEMATICALLY VIABLE. PRESENT TEACHINGS DO NOT ALWAYS MEET THIS
REQUIREMENT. THE WORLD IS ENTITLED TO A HIGHER STANDARD OF WORKMANSHIP FROM
THOSE IT HAS GRANTED WORLD CLASS STATUS.
All Newsposts by this Website are available at
http://members.isp.com//einsteinhoax/postinglog.htm
Please make any response via E-mail as Newsgroups are not monitored on
a regular basis. Objective responses will be treated with the same courtesy
as they are presented. To prevent the wastage of time on both of our parts,
please do not raise objections that are not related to material that you
have read at the Website. This posting is merely a summary.
E-mail:-
The material at the Website has been posted continuously for over 5
years. In that time THERE HAVE BEEN NO OBJECTIVE REBUTTALS OF ANY OF THE
MATERIAL PRESENTED. There have only been hand waving arguments by
individuals who have mindlessly accepted the prevailing wisdom without
questioning it. If anyone provides a significant rebuttal that cannot be
objectively answered, the material at the Website will be withdrawn.
Challenges to date have revealed only the responder's inadequacy with one
exception for which a correction was provided.
.
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| User: "Uncle Al" |
|
| Title: Re: Examining Mathematical Approaches |
25 Mar 2005 03:59:59 PM |
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Einsteinhoax wrote:
Examining Mathematical Approaches
[snip 90 lines of ignorant crap]
http://www.freefarts.com/farts.html
Move cursor over blinkers to hear Retic's lecture.
Psychotic ineducable boring spammer retic (Ernest Wittke),
You see yourself this way,
http://www.mazepath.com/uncleal/effete6.jpg
The entire remainder of the planet sees you this way,
http://www.mazepath.com/uncleal/effete3.png
http://www.edu-observatory.org/cranks.html
http://www.pagetutor.com/idiot/idiot.html
http://www.mazepath.com/uncleal/sunshine.jpg
<http://www.albinoblacksheep.com/flash/youare.swf>
http://www.fuckinggoogleit.com/
http://www.meninhats.com/d/20040430.html
http://www.you-moron.com/
http://groups.google.com/groups?q=group%3Asci.physics+author%3Awittke
http://b5.sdvc.uwyo.edu/bab5/snds/argcstpd.wav
http://www.apa.org/journals/psp/psp7761121.html
http://insti.physics.sunysb.edu/~siegel/quack.html
<http://www.firehead.org/~jessh/film/kubrick/Kubrick-Psycho.html>
<http://www.naturalchild.com/elliott_barker/prisons.html>
The source material for this posting may be found in "Gravity" (1987),
"The Einstein Hoax" (1997), and "Corrections to Residual Errors in Special
Relativity (1999)
[snip]
Hey, stooopid spammer Ernest Wittke - Do you want EVIDENCE? Each of
the 24 GPS satellites carries either four cesium atomic clocks or
three rubidum atomic clocks in orbit, with full relativistic
corrections being applied. NAVSTAR Block II GPS satellites (currently
being launched as replacements) have two rubidium and two cesium
atomic clocks.
Internal inconsistencies in SR (meaning inconsistencies of a purely
mathematical logical nature) automatically lead to contradictions in
number theory, itself, and arithmetic, since the mathematics of
Minkowski geometry is equiconsistent with the theory of real numbers
and with arithmetic.
<http://optoelectronics.perkinelmer.com/content/Datasheets/rfs2f.pdf>
<http://math.ucr.edu/home/baez/RelWWW/tests.html>
Mathematics of gravitation
<http://wugrav.wustl.edu/people/CMW/update98.pdf>
<http://www.astro.northwestern.edu/AspenW04/Papers/lorimer1.pdf>
Equivalence Principle testing
http://arXiv.org/abs/hep-th/0111236
Geometric structure of reality
http://arxiv.org/abs/gr-qc/0103044
http://arXiv.org/abs/hep-th/0307140
GR structure, especially Part 4/p. 7
<http://relativity.livingreviews.org/Articles/lrr-2001-4/index.html>
http://arXiv.org/abs/gr-qc/0311039
<http://www.weburbia.demon.co.uk/physics/experiments.html>
Experimental constraints on General Relativity
<http://tycho.usno.navy.mil/ptti/ptti2002/paper20.pdf>
Nature 425 374 (2003)
http://www.eftaylor.com/pub/projecta.pdf
<http://www.public.asu.edu/~rjjacob/Lecture16.pdf>
<http://relativity.livingreviews.org/Articles/lrr-2003-1/index.html>
Relativity in the GPS system
http://arXiv.org/abs/gr-qc/9909014
Amer. J. Phys. 71 770 (2003)
Phys. Rev. Lett. 92 121101 (2004)
falling light
<http://hyperphysics.phy-astr.gsu.edu/hbase/relativ/airtim.html>
<http://metrologyforum.tm.agilent.com/pdf/flying_clock_math.pdf>
http://metrologyforum.tm.agilent.com/cesium.shtml
http://arxiv.org/abs/physics/0008012
Hafele-Keating Experiment
http://www.hawaii.edu/suremath/SRtwinParadox.html
<http://physics.syr.edu/courses/modules/LIGHTCONE/twins.html>
Twin Paradox
Science 303(5661) 1143;1153 (2004)
http://arXiv.org/abs/astro-ph/0401086
http://arxiv.org/abs/astro-ph/0312071
<http://relativity.livingreviews.org/Articles/lrr-2003-5/index.html>
<http://skyandtelescope.com/news/article_1473_1.asp>
Deeply relativistic neutron star binaries
http://arxiv.org/abs/hep-th/0405160
Black hole evaporation
Physics Today 57(7) 40 (2004)
http://physicstoday.org/vol-57/iss-7/p40.shtml
No aether
http://fsweb.berry.edu/academic/mans/clane/
http://physicsweb.org/articles/world/17/3/7
No Lorentz violation
http://arXiv.org/abs/gr-qc/0409089
Spin-2 gravitons have problems
<http://groups-beta.google.com/group/sci.physics.strings/msg/ba31a00f5f26277a>
(so does the proposal)
http://arXiv.org/abs/gr-qc/0411113
<http://www.npl.washington.edu/eotwash/pdf/prl83-3585.pdf>
http://arXiv.org/abs/gr-qc/0301024
Phys. Rev. Lett. 93 261101 (2004)
Nordtvedt Effect
http://map.gsfc.nasa.gov/
http://arxiv.org/abs/astro-ph/0403292
http://arXiv.org/abs/astro-ph/0310723
WMAP + Sloane Digital Sky Survey
http://arxiv.org/abs/hep-ph/0404175
Dark matter candidates
<http://nedwww.ipac.caltech.edu/level5/March01/Carroll/frames.html>
Carroll on what it all means.
Special Relativity is physics on a topologically trivial Lorentzian
manifold with a metric whose curvature tensor is zero. This is a
perfectly diffeomorphism-invariant condition and does not require
any particular coordinate choice. It is invariant under
the full group of diffeomorphisms. The Poincare group is
the group of *isometries* of the metric in special relativity.
The Special Relativity metric is *non-dynamical* (unlike GR). It
defines the coupling *constants* of your theory. If you change the
metric in any nontrivial way you are changing your theory. An
operation can only be called a "symmetry" of a special-relativistic
(non-gravitational) theory if it preserves the metric, and therefore
the symmetry of special-relativistic theories is the Poincare group
only. General Relativity (gravitation) has a dynamic metric.
NIM A 355 537 (1995)
Physics Letters B 328 103 (1994)
Physical Review Letters 64 1697 (1990)
Physical Review Letters 39 1051 (1977)
Physical Review 135 B1071 (1964)
Physics Letters 12 260 (1964)
Europhysics Letters 56(2) 170-174 (2001)
General Relativity and Gravitation 34(9) 1371 (2002)
http://fourmilab.to/etexts/einstein/specrel/specrel.pdf
<http://www.geocities.com/physics_world/sr/ae_1905_error.htm>
<http://www.physics.gatech.edu/people/faculty/finkelstein/relativity.pdf>
Longitudinal and transverse mass
Physics Today 58(3) 34 (2005)
Time passage, equator vs. poles
http://arxiv.org/abs/gr-qc/0306076.pdf
<http://www.metaresearch.org/solar%20system/gps/absolute-gps-1meter-3.ASP>
http://www.navcen.uscg.gov/pubs/gps/gpsuser/gpsuser.pdf
http://www.navcen.uscg.gov/pubs/gps/sigspec/default.htm
http://www.navcen.uscg.gov/pubs/gps/icd200/default.htm
http://www.trimble.com/gps/index.html
http://sirius.chinalake.navy.mil/satpred/
http://www.phys.lsu.edu/mog/mog9/node9.html
http://egtphysics.net/GPS/RelGPS.htm
http://www.schriever.af.mil/gps/Current/current.oa1
http://edu-observatory.org/gps/gps_books.html
<http://www-astronomy.mps.ohio-state.edu/~pogge/Ast162/Unit5/gps.html>
If anyone
provides a significant rebuttal that cannot be objectively answered, the
material at the Website will be withdrawn.
Right, like your head has ever been withdrawn from your ***** - even
when you *****.
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/qz.pdf
.
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| User: "Sam Wormley" |
|
| Title: Re: Examining Mathematical Approaches |
25 Mar 2005 05:14:18 PM |
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Einsteinhoax wrote:
Examining Mathematical Approaches
Observational and Experimental Evidence Bearing on General Relativity
http://math.ucr.edu/home/baez/RelWWW/tests.html
General Relativity Tutorial
John Baez
http://math.ucr.edu/home/baez/gr/gr.html
Relativity on the World Wide Web
http://math.ucr.edu/home/baez/relativity.html
General Relativity and Cosmology FAQs
http://math.ucr.edu/home/baez/physics/
Developments in General Relativity: Black Hole Singularity and Beyond
http://arxiv.org/abs/gr-qc/0304052
Improved Test of General Relativity with Radio Doppler Data from the Cassini Spacecraft
http://arxiv.org/abs/gr-qc/0308010
What is the experimental basis of Special Relativity?
http://math.ucr.edu/home/baez/physics/Relativity/SR/experiments.html
Physics is an experimental science, and as such the experimental basis for
any physical theory is extremely important. The relationship between
theory and experiments in modern science is a multi-edged sword:
1.It is required that the theory not be refuted by any experiment within
the theory's domain of applicability.
2.It is expected that the theory be confirmed by a number of
experiments which cover a significant fraction of the theory's
domain of applicability.
3.It is expected that the theory be confirmed by a number of
experiments which examine a significant fraction of the theory's
predictions.
Special Relativity (SR) meets all of these requirements and expectations.
There are literally hundreds of experiments which have tested SR, with
an enormous range and diversity, and the agreement between theory and
experiment is excellent. There is a lot of redundancy in these experimental
tests. There are also a lot of indirect tests of SR which are not included
here. This list of experiments is by no means complete!
Other than their sheer numbers, the most striking thing about these
experimental tests of SR is their remarkable breadth and diversity. An
important aspect of SR is its universality - it applies to all known physical
phenomena and not just to the electromagnetic phenomena it was
originally invented to explain. In these experiments you will find tests
using electromagnetic and nuclear measurements (including both strong
and weak interactions); gravitational tests are the province of General
Relativity, and are not considered here, see Experimental Tests of GR.
There are several useful surveys of the experimental basis of SR:
Y.Z.Zhang, Special Relativity and its Experimental Foundations,
World Scientific (1997).
G.Holton, "Resource Letter SRT-1 on Special Relativity Theory",
Am. J. Phys., 30 (1962), p462.
D.I.Blotkhintsev, "Basis for Special Relativity Theory Provided by
Experiments in High Energy Physics", Sov. Phys. Uspekhi, 9 (1966),
p405.
Newman et al. Phys. Rev. Lett. 40 no. 21 (1978), p1355.
Zhang's book is especially comprehensive.
Textbooks which have good summaries of the experimental basis of
relativity are:
M.Born, Einstein's theory of Relativity.
Bergmann, Introduction to the Theory of Relativity.
Moller, The Theory of Relativity.
M. von Laue, Die relativitätstheorie (in German).
Crank Information
http://groups.google.com/groups?q=group%3Asci.physics+author%3AGRAVITYMECHANIC
http://groups.google.com/groups?q=group%3Asci.physics+author%3AGRAVITYMECHANIC2
http://www.google.com/search?q=einstein+hoax+site%3Awww.crank.net
http://groups.google.com/groups?q=group%3Asci.physics+author%3Aretic
http://groups.google.com/groups?q=group%3Asci.physics+author%3Aretiche
http://groups.google.com/groups?q=group%3Asci.physics+author%3Areticher
http://groups.google.com/groups?q=group%3Asci.physics+author%3Areticher1
http://groups.google.com/groups?q=group%3Asci.physics+author%3Awittke
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