"The Paradox of Zeno"



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Topic: Science > Physics
User: "Http"
Date: 21 Aug 2005 10:01:01 AM
Object: "The Paradox of Zeno"
"The Paradox of Zeno"
"Great spirits have always encountered violent oppositions from
mediocre minds." - A. Einstein
The Paradox of Zeno is 2000 years old and its apparent ability
to prove that all motion is impossible was not resolved until the
mathematical
techniques of Calculus became available, even though that technique is not
required. One form of the paradox describes the flight of an arrow which has
been shot at a target. The arrow is shot at a constant velocity, V, to a
target
at a distance, L, and the time of flight is divided into intervals. In the
first
interval, the arrow covers half of the distance to the target and, in each
succeeding interval of time, it covers half of the remaining distance. Under
the
line of reasoning presented, the arrow never reaches the target because,
after
each successive interval of time, one half of the distance to the target
that
existed at the beginning of the interval remains.
The author finds it incredible that this paradox has been
taken seriously by intelligent men for over two millennia and has not been
recognized as a form of trickery. If one accepts that in each successive
interval of time the arrow traveled half of the remaining distance to the
target, he must also accept that each of those successive intervals of time
is
half of the duration of the interval which preceded it. As a result, under
the
Paradox of Zeno, not only does the arrow never reach the target, the elapsed
time of its flight never reaches the time, T, when the arrow would reach the
target.
There is no paradox in the Paradox of the Zeno. As long as one
allows a cheap trick to fool him into considering only those events which
occur
prior to the arrival of the arrow at the target, he most certainly will
believe
that the arrow never reaches the target. The reality is that THE PASSAGE OF
TIME
DOES NOT SLOW AS THE ARROW APPROACHES THE TARGET AND THE ARROW REACHES THE
TARGET WHEN IT SHOULD.
To find the Paradox of Zeno be seriously considered as a topic
which requires a level of mathematics beyond simple arithmetic for its
resolution should lead a reasonable man to have serious doubts as to the
mental
capacity of the individuals who are engaged in the teaching process.
The source material for this posting may be found in
http://einsteinhoax/hoax.htm ("The Einstein Hoax" {1997});
http://einsteinhoax/gravity.htm; ("Gravity" {1987}); and
http://einsteinhoax/relcor.htm ("Corrections to Special Relativity" {1997}).
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 of the Newsposts made by this site may be viewed at
http://einsteinhoax.com/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.
.

User: "Uncle Al"

Title: Re: "The Paradox of Zeno" 21 Aug 2005 06:11:41 PM
Http wrote:


"The Paradox of Zeno"

"Great spirits have always encountered violent oppositions from
mediocre minds." - A. Einstein

Oh the delicious irony of that quotation!
[snip 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>
<http://www.vallis.org/publications/tesidott.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.physics.adelaide.edu.au/~dkoks/Faq/Relativity/SR/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
<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
.

User: "Sam Wormley"

Title: Re: "The Paradox of Zeno" 21 Aug 2005 12:37:28 PM
Http wrote:

"The Paradox of Zeno"

Thanks for registering "The Einstein Hoax" at crank dot net.
http://www.google.com/search?q=einstein+hoax+site%3Awww.crank.net
.


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