What it shows: Fifteen uncoupled simple pendulums of monotonically increasing lengths dance together to produce visual traveling waves, standing waves, beating, and random motion. One might call this kinetic art and the choreography of the dance of the pendulums is stunning! Aliasing and quantum revival can also be shown.
How it works: The period of one complete cycle of the dance is 60 seconds. The length of the longest pendulum has been adjusted so that it executes 51 oscillations in this 60 second period. The length of each successive shorter pendulum is carefully adjusted so that it executes one additional oscillation in this period. Thus, the 15th pendulum (shortest) undergoes 65 oscillations. When all 15 pendulums are started together, they quickly fall out of sync—their relative phases continuously change because of their different periods of oscillation. However, after 60 seconds they will all have executed an integral number of oscillations and be back in sync again at that instant, ready to repeat the dance.
Setting it up: The pendulum waves are best viewed from above or down the length of the apparatus. Video projection is a must for a large lecture hall audience. You can play the video below to see the apparatus in action. One instance of interest to note is at 30 seconds (halfway through the cycle), when half of the pendulums are at one amplitude maximum and the other half are at the opposite amplitude maximum.
Comments: Our apparatus was built from a design published by Richard Berg 1 at the University of Maryland. He claims their version is copied from one at Moscow State University. Dr. Jiri Drabek at Palacky University in the Czech Republic has informed us that it was originally designed and constructed by Ernst Mach, professor of mathematics in Praha and Vienna around the year 1867. The demonstration is used in the Czech Republic under the name "Machuv vinostroj" -- the "Wavemachine of Mach." The apparatus we have was designed and built by Nils Sorensen.
James Flaten and Kevin Parendo2 have mathematically modeled the collective motions of the pendula with a continuous function. The function does not cycle in time and they show that the various patterns arise from aliasing of this function—the patterns are a manifestation of spatial aliasing (as opposed to temporal). Indeed, if you’ve ever used a digital scope to observe a sinusoidal signal, you have probably seen some of these patterns on the screen when the time scale was not set appropriately.
Here at Harvard, Prof Eric Heller has suggested that the demonstration could be used to simulate quantum revival. So here you have quantum revival versus classical periodicity!
Mass Produced Security Robots Introduced in U.S. 2014 08 20
While debate continues to rage about the threat of autonomous "killer robots," the mechanized replacement of humans continues across the workforce. In fact, the robotics industry notched record sales in the first half of 2014 in North America, and there appears to be no indications of a slowdown.
Security robots have become a special area of interest for developers. Britain ...
Is Michael Brown A National Hero? 2014 08 19
From: Brother Nathanael:
I don’t know about you but I revolt against crowning Michael Brown a “national hero.”
Better the crown go to Darren Wilson who according to the Ferguson Police Report shot Brown in self-defense.
Yet there’s already a bounty on his head.
And the media eats it up.
For whether it’s NBC; CNN …or the New York Times; the spin is that ...
Toxoplasmosis – The Revealing Behavior and Effects of Parasites 2014 08 19
A fascinating interview with neurobiologist Robert Sapolsky on toxoplasmosis and the behavior of a seemingly intelligent parasite. The parallels to archonic-type influences are astounding. A must see.
For context, please listen to John Lash on White Genocide & The Archontic Infection
Emmy Awards 2014 - Spoilers! Leaked Clip for Best Psychopath!! 2014 08 19
WARNING SPOILER ALERT!!! Leaked clip from the 66th Annual Emmy Awards scheduled to air August 25th, 2014. Winner announced for best Psychopath of the year!
Video from: youtube.com
Can’t get enough of those warm Zionist in Hollywood.
Joan Rivers: "Palestinians deserve to be dead"
UN calls for tests on passengers in Ebola crackdown 2014 08 19
Health workers wearing protective clothing prepare to carry an abandoned dead body presenting with Ebola symptoms at Duwala market in Monrovia.
Ebola-affected countries should immediately begin exit screening all passengers leaving international airports, sea ports and major ground crossings, the UN health agency urged yesterday.
The risk of the Ebola virus being transmitted during air travel is low because, unlike infections ...