Do Lagrange Points Have Similar Corresponding Points in Particle Physics?
Also, how we might go about that in order to build spaceships, giant ones in space, rather than on here on Earth.
Thus, avoiding the cost per pound to reach escape velocity.
There have indeed, been many a science fiction writer discuss this in his novels.
Ben Bova for instance, has written a whole series on Asteroid Wars, which surrounds the commercialization and mining of space rocks of all sorts.
In any case one common theme is the concept of towing the asteroids to lagrange points to do the mining or use Trojan Asteroids which are already parked there, to see if any of them are potentially good mining targets.
As our Think Tank debated this, I asked myself, are there "lagrange points" in Particle Physics - after all, theoretically speaking why not?" Therefore, I emailed one of the main mathematicians on the topic to ask him (1), and stated: I have a couple of questions, abstract questions.
(1) Do Lagrange Points Have Similar Corresponding Points in Particle Physics? "Lagrange Points in Particle Physics - Theoretically speaking why not?" - as there must be something similar? Why you ask, simple because there are forces between all the spinning particles, no gravity is a weak force there of course, BUT - what about magnetic la grange type points, what is the term for this? Where can I find information? It just so turns out that there is a similar thing in particle physics, and there has been research and coherent states found in Rydberg atoms, but only after a "circular polarized microwave field with a perpendicular field is combined.
" The electronic "wave packets" simulate the macro-scenario of Trojan Asteroids at Jupiter's lagrange points.
In fact, I found this to be most rewarding, and indeed, I was correct, such a potential eventuality does lend itself to particle physics as well, which didn't surprise me, but in taking this one step further, while I'll just bet there are applications for this in the binding of molecules for nano-material manufacturing, nano-material recycling, or strengthening of materials - who knows in the future, perhaps even particle assimilation.
Even though such points maybe utterly so small as to be barely measured, the fact that they do exist not only makes perfect sense from a theoretical physics standpoint, but it might even be a potentially important discovery in understanding unstable elements on the periodic table or in finding stable elements which are just beyond those atomic numbers on the periodic table.
Indeed, the research available, which isn't very much, seems to indicate that these "Lagrange equilibria" hosting "Trojan Wavepackets" may "decay due to tunneling a more significant source of dispersion will arise if the tails of the wavepacket penetrate appreciably into the non-linear or chaotic parts of phase space.
In the laboratory frame, if these dispersive factors can be minimized - and this may be accomplished using magnetic fields - the electronic wavepacket will travel along a circular Kepler orbit while remaining localized radially and angularly for a finite - but large - number of Kepler periods.
Additional References: 1.
-Professor John Baez "Lagrange Point" website online; http://math.
-Research in Book; "The Classical Atom: Stabilization of Electronic Trojan Wavepackets D Papenfu, D Lust, WP Schleich, D Farrelly, EA Lee, and T Uzer; Published Online: November 29, 2007; (BC: 10.