Article View: sci.physics.relativity
Article #724Re: EHRENFEST PARADOX AND OTHER IDIOCIES
From: Pentcho Valev
Date: Sat, 06 Mar 2010 06:26
Date: Sat, 06 Mar 2010 06:26
190 lines
12744 bytes
12744 bytes
Length contraction idiocies are a spectacular consequence of Einstein's 1905 false light postulate but originally the time dilation idiocy was developed: http://www.fourmilab.ch/etexts/einstein/specrel/www/ ON THE ELECTRODYNAMICS OF MOVING BODIES By A. Einstein June 30, 1905: "...light is always propagated in empty space with a definite velocity c which is independent of the state of motion of the emitting body.....From this there ensues the following peculiar consequence. If at the points A and B of K there are stationary clocks which, viewed in the stationary system, are synchronous; and if the clock at A is moved with the velocity v along the line AB to B, then on its arrival at B the two clocks no longer synchronize, but the clock moved from A to B lags behind the other which has remained at B by tv^2/2c^2 (up to magnitudes of fourth and higher order), t being the time occupied in the journey from A to B. It is at once apparent that this result still holds good if the clock moves from A to B in any polygonal line, and also when the points A and B coincide. If we assume that the result proved for a polygonal line is also valid for a continuously curved line, we arrive at this result: If one of two synchronous clocks at A is moved in a closed curve with constant velocity until it returns to A, the journey lasting t seconds, then by the clock which has remained at rest the travelled clock on its arrival at A will be tv^2/2c^2 second slow." Einsteiniana's most pernicious hoax designed to vindicate the original time dilation idiocy is the cosmic-ray muon hoax. It is based on measuring the lifetime of muons "at rest". When cosmic-ray muons bump into an obstacle so that their speed instantly changes from about 300000km/s to zero, their forced and quick disintegration makes Einsteinians sing "Divine Einstein" and go into convulsions. Why? Simply because scientific rationality is so devastated that, when the muon undergoes such a terrible crash, Einsteinians can safely declare that in fact this muon is "at rest" and, being "at rest", disintegrates more quickly than another muon which is not "at rest", in perfect accordance with the predictions of Divine Albert's Divine Theory: http://websci.smith.edu/~pdecowsk/muons.html "The purpose of this experiment is to measure life time of muons decaying at rest. Muons, produced in the atmoshere bombarded by high energy cosmic radiation, are passing through the system of two detectors located one above the other one. A coincidence of signals from these two detectors (signals occuring in both detectors within 100ns) marks a particle entering the muon telescope from above and serves as a filter rejecting many noninteresting signals from background radiation. Some particles, with appropriate energies, will end their flight in the lower detector (proper amount of lead between both detectors ensures that many of them will be muons). If a stopped particle is muon, it will decay after some time producing electron. The time interval between signals from the muon entering the lower detector and the electron emerging after its decay is converted by a time-to-amplitude converter into amplitude of signal fed to the CAMAC analog-to-digital converter (ADC) controlled by the computer. The spectrum of time intervals is displayed in the figure below. The expected distribution should be exponential with the exponential time constant being the average life time of muon. The full range of the spectrum (about channel 2000) corresponds to the time interval of about 25 microsecond. There are not many muons with such energies that they will end their path exactly in the lower detector (usually they will pass both detectors and will be stopped in somewhere in the ground), so counting rate is rather low. To collect a reasonable number of events, the experiment has to be run a number of days." Pentcho Valev wrote: For a century human rationality has been procrusteanized into conformity with Einstein's idea that, for a non-rotating observer, the periphery of a rotating disk is LONGER than the periphery of a non- rotating disk: http://www.bartleby.com/173/23.html Albert Einstein (18791955). Relativity: The Special and General Theory. 1920. XXIII. Behaviour of Clocks and Measuring Rods on a Rotating Body of Reference http://www.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/general_relativity_pathway/index.html John Norton: "If one has a circular disk at rest in some inertial reference system in special relativity, the geometry of its surface is Euclidean. That is quite obvious, but it will be useful to spell out what that means in terms of the outcomes of measuring operations. If the disk is ten feet in diameter, then it means that we can lay 10 foot long rulers across a diameter. Euclidean geometry tells us that the circumference is pi x 10 feet, which is about 31 feet. That means that we can traverse the full circumference of the disk by laying 31 rulers round the outer rim of the disk. What if we have a disk of the same diameter of 10 feet but in rapid uniform rotation with respect to the first disk? Things will go rather differently. Assume that this rotating disk is covered with foot long rulers that move with it. These rulers are just like the ones that were used to survey the non- rotating disk. (That means that an observer moving with the rod on the rotating disk would find it to be identical to one of the rulers used to survey the non-rotating disk.) What will be the outcome of surveying the geometry of this rotating disk with those rods? An observer who is not rotating with the disk would judge all these rulers to have shrunk in the direction of their motion. That means that, according to this new observer, the surveying of the disk would proceed differently. Ten rulers would still be needed to span the diameter of the disk. Since the motion of the disk is perpendicular to the rulers laid out along a diameter, the length of these rulers would be unaffected by the rotation. That is not so for the rulers laid along the circumference. They lie in the direction of rapid motion. As a result, they shorten and more are needed to cover the full circumference of the disk. Thus we measure the circumference of the rotating disk to be greater than 31 feet, the Euclidean value. In other words, we find that the geometry of the disk is not Euclidean. The circumference of the disk is more than the Euclidean value of pi times its diameter." In fact this is a second procrusteanization. Initially human rationality is forced to believe (Paul Ehrenfest was a believer who did not undergo the second procrusteanization) that, for a non- rotating observer, the periphery of the rotating disk should be SHORTER than the periphery of a non-rotating disk, as Einstein's special relativity predicts: http://en.wikipedia.org/wiki/Ehrenfest_paradox "The Ehrenfest paradox concerns the rotation of a "rigid" disc in the theory of relativity. In its original formulation as presented by Paul Ehrenfest 1909 in the Physikalische Zeitschrift, it discusses an ideally rigid cylinder that is made to rotate about its axis of symmetry. The radius R as seen in the laboratory frame is always perpendicular to its motion and should therefore be equal to its value R0 when stationary. However, the circumference (2*pi*R) should appear Lorentz-contracted to a smaller value than at rest, by the usual factor gamma. This leads to the contradiction that R=R0 and R0>R." Recently John Norton informed believers that two different disks should be compared, one of them melted, set into rotation and then solidified, as Einstein found it suitable to explain in a letter to a friend (not elsewhere): http://www.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/general_relativity_pathway/index.html John Norton: "Note what was not said in this account. It did not say that we take the first disk and set it into rotation. The reason is that it is impossible in relativity theory to take a disk made out of stiff material and set it into rotation. If one were to try to do this, the disk would contract in the circumferential direction but not in the radial direction. As a result, a disk made of stiff material would break apart. If we want a rotating disk made of stiff material, we need to create it already rotating. Once in a letter on the subject, Einstein remarked that a way to get a disk of stiff material into rotation is first to melt it, set the molten material into rotation and then allow it harden. The rotating disk problem has created a rather large and fruitless literature that suggests some sort of paradox is at hand. Most of it derives from a failure to recognize that a stiff disk cannot be set into uniform rotation without destroying it." Now John Norton will be able to explain to believers how an 80m long pole can be trapped inside a 40m long barn (the barn is melted and then solidified?) and how a bug can be both dead and alive: http://math.ucr.edu/home/baez/physics/Relativity/SR/barn_pole.html "These are the props. You own a barn, 40m long, with automatic doors at either end, that can be opened and closed simultaneously by a switch. You also have a pole, 80m long, which of course won't fit in the barn. Now someone takes the pole and tries to run (at nearly the speed of light) through the barn with the pole horizontal. Special Relativity (SR) says that a moving object is contracted in the direction of motion: this is called the Lorentz Contraction. So, if the pole is set in motion lengthwise, then it will contract in the reference frame of a stationary observer.....So, as the pole passes through the barn, there is an instant when it is completely within the barn. At that instant, you close both doors simultaneously, with your switch. Of course, you open them again pretty quickly, but at least momentarily you had the contracted pole shut up in your barn. The runner emerges from the far door unscathed.....If the doors are kept shut the rod will obviously smash into the barn door at one end. If the door withstands this the leading end of the rod will come to rest in the frame of reference of the stationary observer. There can be no such thing as a rigid rod in relativity so the trailing end will not stop immediately and the rod will be compressed beyond the amount it was Lorentz contracted. If it does not explode under the strain and it is sufficiently elastic it will come to rest and start to spring back to its natural shape but since it is too big for the barn the other end is now going to crash into the back door and the rod will be trapped in a compressed state inside the barn." http://hyperphysics.phy-astr.gsu.edu/Hbase/Relativ/bugrivet.html "The bug-rivet paradox is a variation on the twin paradox and is similar to the pole-barn paradox.....The end of the rivet hits the bottom of the hole before the head of the rivet hits the wall. So it looks like the bug is squashed.....All this is nonsense from the bug's point of view. The rivet head hits the wall when the rivet end is just 0.35 cm down in the hole! The rivet doesn't get close to the bug....The paradox is not resolved." Pentcho Valev pvalev@yahoo.com
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X-Google-Thread: 237b8ad48,97a819744ad9900c X-Google-Attributes: gid237b8ad48,public,usenet X-Google-NewGroupId: yes X-Google-Language: ENGLISH,ASCII-7-bit Path: arc1-ca.pugleaf.net!g2news1.google.com!postnews.google.com!g11g2000yqe.googlegroups.com!not-for-mail From: Pentcho Valev <pvalev@yahoo.com> Newsgroups: sci.physics.relativity,sci.physics,fr.sci.physique,fr.sci.astrophysique Subject: Re: EHRENFEST PARADOX AND OTHER IDIOCIES Date: Fri, 5 Mar 2010 22:26:00 -0800 (PST) Organization: http://groups.google.com Lines: 190 Message-ID: <ce6f158e-1bbd-4204-bf2c-25f052e2191a@g11g2000yqe.googlegroups.com> References: <9d923082-ca10-4bc3-b5d5-31103ef7a32b@k17g2000yqb.googlegroups.com> <4b8f5ba5$0$27791$c3e8da3@news.astraweb.com> <e3595054-515d-42b0-885d-3c531c22d065@q21g2000yqm.googlegroups.com> NNTP-Posting-Host: 89.215.201.39 Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 X-Trace: posting.google.com 1267856761 15812 127.0.0.1 (6 Mar 2010 06:26:01 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Sat, 6 Mar 2010 06:26:01 +0000 (UTC) Complaints-To: groups-abuse@google.com Injection-Info: g11g2000yqe.googlegroups.com; posting-host=89.215.201.39; posting-account=Lz-LbgoAAABPDavKeW-eYeobwLHD_cvQ User-Agent: G2/1.0 X-HTTP-UserAgent: Mozilla/4.0 (compatible; MSIE 7.0; Windows NT 5.1; AskTB5.5),gzip(gfe),gzip(gfe)