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"Matthew Hagston" wrote:
:There's an idea that's been going through my head dealing with creating :artificial gravity, before you think troll just stay with me here. It deals :with two of Einstein's papers; the first stating as an object speed :accelerates closer towards the speed of light, it's mass increases, the :second states mass is directly related to gravity. So Take an object like a :large super-conductive disk, inside a vacuum to reduce friction, and spin :it. If you can make it spin fast enough (up towards the speed of light) you :should be able to create gravity with out having the real mass required. :Creating a sort of virtual mass so to speak. : :I realize there must be something wrong with my logic because this seems :like such a simple solution, so I invite some criticism here. What holds it up? |
#12
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"Matthew Hagston" wrote in message nk.net... There's an idea that's been going through my head dealing with creating artificial gravity, before you think troll just stay with me here. It deals with two of Einstein's papers; the first stating as an object speed accelerates closer towards the speed of light, it's mass increases, the second states mass is directly related to gravity. So Take an object like a large super-conductive disk, inside a vacuum to reduce friction, and spin it. If you can make it spin fast enough (up towards the speed of light) you should be able to create gravity with out having the real mass required. Creating a sort of virtual mass so to speak. I realize there must be something wrong with my logic because this seems like such a simple solution, so I invite some criticism here. As others have pointed out, the chemical bounds of the molecules are overcome well before you get to this point. But also, my understanding is that what one could more properly call the "apparant" mass of the system increase. But outside the system you haven't changed the total amount of mass and so there's no gravitional change outside the system. -- Matthew Hagston Hungates Creative Toys and Hobbies ........ http://www.hungates.com |
#13
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Henry Spencer wrote:
Remember, the whole point of the question that started this particular thread is (essentially) that "mass" and "matter" are not the same thing. Energy too has mass, and the mass of the hypothetical disk with the relativistic spin is dominated by its energy content, not its matter content. That is, its density at rest is basically irrelevant. What *is* relevant, alas, is the impossibly high structural strength it requires. With the strongest materials we've got, flywheel energy storage struggles to be competitive with batteries. This falls many orders of magnitude short of what's needed to store significant *masses* of energy. There is room for improvement in the materials, notably with the nanotube composites that many people are trying to make, but that's about one order of magnitude, which is nowhere near enough. Plus, as others have pointed out, transporting such vast amounts of energy is much harder than transporting equivalent amounts of matter. The entire energy output of the Sun is only about four million tons per second. Quite so. I have tried to be careful not to address the flywheel issue too seriously as it really isn't serious in any meaningful sense. Those orders of magnitude are something like *eleven* orders of magnitude. Which, as you know, is no small thing. OK, so let's get more serious (which is really more of a testament to the improbability of the subject at hand than anything else) and talk about how much matter you would need if you had very high density material available, such as neutronium. So, assuming a density of 3e14 g/cm^3 and a desired gravity of 9.8 m/s^2, I come up with the rather nonsensical figure for an uncompressed sphere of about 240 nanometers in diameter with a mass of 2 grams. This would work well if humans were significantly smaller than 240 nanometers. Obviously, this result means that neutronium is more than dense enough for these purposes, though the basic scaling needs might cause problems regardless of the density of matter available. For example, if we assume a setup with a very dense mass at a distance of several tens of meters (to avoid serious tidal problems), we end up with a mass of trillions of kg, similar to your previous estimate. Which is probably still too much to be practical. Rotation is still definitely the prefered method of manufacturing gravity like effects. |
#14
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In article ,
Greg D. Moore \(Strider\) wrote: But also, my understanding is that what one could more properly call the "apparant" mass of the system increase. But outside the system you haven't changed the total amount of mass and so there's no gravitional change outside the system. No, there's nothing "apparent" about it. Energy has mass. Real mass, just as real as the mass of matter, although a bit more thinly spread. :-) Store a very large amount of energy in a system, and its mass -- both inertial and gravitational -- increases detectably. -- "Think outside the box -- the box isn't our friend." | Henry Spencer -- George Herbert | |
#15
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Larger wheel in space, with superconducting wires wrapped around it.
Normally the speed of propagation of electricity is only a significant fraction of the speed of light. But if the disk could be spun fast enough, you might be able to get the electricity cramming the speed limit, possibly "generating" a gravity field. Just some old musing I had a year or two ago. Wish I had the math and physics to really figure it out. |
#16
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In article et,
Matthew Hagston wrote: There's an idea that's been going through my head dealing with creating artificial gravity, before you think troll just stay with me here. Both of the models of relativity offered by Einstein, special and general relativity, are self-consistent and have conservation laws. If you can create gravity within the realm of Einsten's theories -- and there are ways to do it -- then there is nothing "artificial" about it. The tone of your question sounds like you want a way to somehow cheat mathematical theorems about Einstein's laws using Einsten's laws. Creating "artificial" gravity in this way would be like creating gold just by buying and selling it. It deals with two of Einstein's papers; the first stating as an object speed accelerates closer towards the speed of light, it's mass increases, the second states mass is directly related to gravity. So Take an object like a large super-conductive disk, inside a vacuum to reduce friction, and spin it. If you can make it spin fast enough ... It is true that a disk spinning at a relativitistic velocity is heavier than one that is not spinning. But there are two problems with your description: First, in relativity all energy has mass. However you obtained the energy to spin up the disk, it would weigh just as much as the extra weight of the disk. In relativity, mass is conserved, so the mass has to come from somewhere. Second, relativistic velocities and energies are extreme. For example, if a 4-gram bullet travelling fast enough to exactly double its mass (i.e. sqrt(3)/2 = 86% of the speed of light) crashed into the ground from space, it would make a 90-kiloton explosion, like an atomic bomb. The forces involved in relativistic rotation go way, way beyond what is possible with ordinary chemistry. There are observed objects in the universe that have some extra mass because they spin, but they are neutron stars, not titanium disks. For example, the neutron star IGR J00291+5934 rotates at 600 hertz, and people estimate its surface velocity at 10% of the speed of light: http://www.universetoday.com/am/publ...ng_pulsar.html If this estimate is correct, then the equator of the neutron star is 2% heavier because it spins; the neutron star as a whole could be 0.2% heavier or so for the same reason. (This depends on how the star's mass is distributed.) -- /\ Greg Kuperberg (UC Davis) / \ Home page: http://www.math.ucdavis.edu/~greg/ \ / Visit the Math ArXiv Front at http://front.math.ucdavis.edu/ \/ * All the math that's fit to e-print * |
#17
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In article ,
Greg D. Moore \(Strider\) wrote: But also, my understanding is that what one could more properly call the "apparant" mass of the system increase. But outside the system you haven't changed the total amount of mass and so there's no gravitional change outside the system. The correct statement is that the functional mass of an object depends on your reference frame. As Henry Spencers says, it is not in any sense an illusion. It is a lot like considering whether the "height" of a 100-foot rod is 100 feet or 80 feet if the rod is 37 degrees from vertical. The rod has an intristic length of 100 feet, but that is only its functional height when it is exactly vertical. Likewise the instrinsic mass of an object - its rest mass - is what its mass would be if it were stationary. Its functional mass when it moves is more. If it moves in a straight line, that is like a tilted rod. It is a little more complicated for a rotating disk, which is more like a rod which is shortened by coiling. In any case a rotating disk is heavier than a stationary one. -- /\ Greg Kuperberg (UC Davis) / \ Home page: http://www.math.ucdavis.edu/~greg/ \ / Visit the Math ArXiv Front at http://front.math.ucdavis.edu/ \/ * All the math that's fit to e-print * |
#18
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Matthew Hagston wrote:
There's an idea that's been going through my head dealing with creating artificial gravity, before you think troll just stay with me here. It deals with two of Einstein's papers; the first stating as an object speed accelerates closer towards the speed of light, it's mass increases, the second states mass is directly related to gravity. So Take an object like a large super-conductive disk, inside a vacuum to reduce friction, and spin it. If you can make it spin fast enough (up towards the speed of light) you should be able to create gravity with out having the real mass required. Creating a sort of virtual mass so to speak. I realize there must be something wrong with my logic because this seems like such a simple solution, so I invite some criticism here. Remember that as you approach the speed of light, it takes nearly-infinite energy to get to up there. Same with your spinning object. So much energy crammed into a spinning material object will simply tear it apart as its speed gets to a point where it cannot stay together. Even molecular bonds will fail given the speeds and forces required. -- Cheers, Bama Brian Libertarian |
#19
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Henry Spencer wrote:
No, there's nothing "apparent" about it. Energy has mass. Real mass, just as real as the mass of matter, although a bit more thinly spread. :-) Store a very large amount of energy in a system, and its mass -- both inertial and gravitational -- increases detectably. Clinton It all dependes on what "apparent" is. /Clinton The source of gravity in GTR is the stress-energy-momentum tensor, which can be sliced and diced in various ways. What you ultimately get is gravity, and if you think of it as originating purely in mass, well, that's one way to think of it. OTOH, you can equally well think of it as originating purely in energy. It all depends on the 3D+T angle from which you view it. |
#20
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Massenergy distorts spacetime in tensor form we have the EINSTEIN
TENSOR (see page 40 and 41 in Misner Thorne and Wheeler's GRAVITATION; Einstein = G_ = 8 * pi * T_ where the _ denotes a boldface type, which denotes a tensor. Tensors are lists of vectors. Vectors are lists of numbers. So, tensors are also tables of numbers. The Einstein tensor is a geometric object that generates a table of numbers known as a Riemann tensor (R00) that describes precisely how space distorts in four dimensions in the presence of massenergy. Massenergy in the equation is represented by T_ which is the stress-energy tensor. Being tensors they don't need coordinates to describe them, and they're always equal (given the factor 8pi between them) So, you are correct - mass and energy both can distort spacetime to create a gravity field. The big question is so what? Energy and mass are the same, related by the constant - c^2 - the speed of light squared. In a practical sense this means that you need lots and lots of energy to equate to trifiling amounts of mass. Also, when spinning something at high rates of speeds, you accelerate them. Accelerating a mass generates gravity waves, just as accelerating charges generates electromagnetic waves. So, the energy you put into to your disk will constantly need to be replenished as the energy of the gravity waves is radiated away into space. What are you trying to achieve here? Strong gravity fields. There's an easy way to achieve that. Make black holes. How do you do that? Pile matter together in sufficient quantities. How much is needed for a black hole? Well, if you start with normal matter you have many things to consider. The first is the nature of matter. Things like hydrogen when they get piled on top of each other heat up and convert to helium and release energy - the fusion process. This process powers the stars ahd hydrogen bombs. Things like uranium when put together in big quantites absorb each other's neutrons and start a process called fission. This process powers the core of the Earth, nuclear reactors, and atomic bombs. In fact, all matter heavier than an isotope of Iron called Iron 56, has a tendency to fission under high pressures. All matter lighter than this isotope of iron hasa tendency to fusion when pressurized. But, when you have a ball of Iron 56 - no energy is released when it is pressed together. So, by this consideration this is the material of choice if you are engineering the creation of a black hole. So, now that we've addressed the issue of what material to make our black holes out of, we now address how the material compresses when piled together. For this you need an equation of state for matter. This is given by the Harrison Wheeler equation of state for cold matter first developed in 1958; rho + p dp gamma = --------- ------- p drho Where rho is density and p is pressure. For densities below nuclear densities - this is rho 3e13 g/cc things are pretty clear. At densities above this, things get interesting because of nuclear interactions. At zero pressure a ball of pure cold Iron 56 has a density of 7.86 g/cc. As the sample is compressed normal solid-state forces provide internal pressure. But the electrons don't feel the nuclei as much as they are compressed out of their shells. So, at about 1e5 g/cc valence forces are completely negligible. So, gamma drops from 3 to about 5/3 with most of the pressure coming from electrons acting as a Fermi gas - with the electrons moving at non-relativistic speeds. Compressing the sphere even more increases the speed of the electrons and the Fermi gas becomes relativistic. So, gamma approaches 4/3. Above rho=1.4e7 g/cc the rest of the iron nuclei with their relativistic electrons is greater than the rest mass of Nickel nuclei with fewer electrons. So, even with Iron 56, when you compress things above 1.4e7 g/cc, a nuclear reaction takes place one that converts Iron 56 to Nickel 62 As compression continues the electrons move with greater and greater energy. These energetic electrons cause new nuclear reactions. Everything becomes neutron rich. This changes the material structure again. At 3e11 g/cc the nuclei have so many neutrons that they start dripping neutrons off of them. At this point matter becomes highly compressible until about 4e11 g/cc is reached. At that point there are so many neutrons that the pressure between them is bigger than the pressure exerted by the electrons. This raises gamma. Compression beyond 1e13 g/cc disintegrates the remaining nuclei and the sample becomes almost a pure fermi gas consisting of neutrons. Here gamma rises to 5/3. So, we can see that the motion of things at the atomic level can be affected by very strong compressions. The simplest way to create black holes is to pile matter up to about the mass of the sun and let it collapse. This results in big black holes and is not particularly easy. Another way to create blackholes is to collide shaped matter into one another and focus the resulting shock waves centrally. Here compression energy is provided by the kinetic energy of the colliding parts relative to one another. Basically if you collide matter together at 1/3 the speed of light or more, you can compress matter to black hole densities with sufficiently accurate compression waves. Colliding stuff together can obtain miniature black holes. Collections of black holes can be charged up and accelerated by electromagnetic fields to generate gravity waves and other cool stuff. Eric Chomko wrote: Matthew Hagston ) wrote: : There's an idea that's been going through my head dealing with creating : artificial gravity, before you think troll just stay with me here. It deals : with two of Einstein's papers; the first stating as an object speed : accelerates closer towards the speed of light, it's mass increases, the : second states mass is directly related to gravity. So Take an object like a : large super-conductive disk, inside a vacuum to reduce friction, and spin : it. If you can make it spin fast enough (up towards the speed of light) you : should be able to create gravity with out having the real mass required. : Creating a sort of virtual mass so to speak. : I realize there must be something wrong with my logic because this seems : like such a simple solution, so I invite some criticism here. I'm no physicist, but don't molecules have trouble staying together in cyclotron-like environments? IOW, everything to date that we can manage accelerate is of a sub-molecular level. What good is creating gravity for elements with no way of retaining any molecular form? And your object, the super-conductive disk; where can I buy one? Eric : -- : Matthew Hagston : Hungates Creative Toys and Hobbies : ........ http://www.hungates.com |
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