fLuX
12-14-06, 09:04 PM
Okay people. Here it is. Faster Than Light propulsion theories. Ideas? Questions? Answers?
Here are some of the theories I found on Wikipedia. Enjoy.
<b>Option A: Ignore special relativity</b>
This is the simplest solution, and is particularly popular in science fiction. However, empirical evidence unanimously support Einstein's theory of special relativity as the correct description of high-speed motion, which reduces in the low-speed case to Galilean relativity, which is an approximation only valid for slow speeds. Similarly, general relativity is unanimously supported as the correct theory of gravitation in the regime of very large masses and long distances. Unfortunately, general relativity breaks down at small distances and is no longer valid in the quantum regime. Special relativity is easily incorporated into nongravitational quantum field theories, however it only applies to a flat Minkowski universe.[citation needed] In particular our expanding universe contains stress-energy which curves the ambient space time and perhaps even has a cosmological constant and so is not Minkowski and in particular is not invariant under Poincaré transformations. However even in the broader context of general relativity, acceleration from subluminal to superluminal speeds does not appear to be possible.
<b>Option B: Get light to go faster (Casimir vacuum)</b>
Einstein's equations of special relativity posit that the speed of light is invariant in inertial frames. That is, it will be the same from any frame of reference moving at a constant speed. The equations do not specify any particular value for the speed of the light itself. That is an experimentally determined quantity, though it has an exact value because the units of length are defined using the speed of light.
The experimental determination has been made in vacuum. However the vacuum we know is not the only possible vacuum which can exist. The vacuum has energy associated with it, called the vacuum energy. This vacuum energy can be changed in certain cases. When vacuum energy is lowered, light itself can go faster than the standard value 'c'. Such a vacuum can be produced by bringing two perfectly smooth metal plates together at near atomic diameter spacing. It is called a Casimir vacuum. Calculations imply light will go faster in such a vacuum.[citation needed] However, there has been no experimental verification, since the technology to detect the change isn't yet available.
Einstein's equations of special relativity have an implicit assumption of homogeneity. Space is assumed to be the same everywhere. In the case of the Casimir vacuum, this assumption is clearly violated. Inside the Casimir vacuum, we have homogeneous space, and outside it, we have homogeneous space as well. Inside the Casimir vacuum, the equations of special relativity will apply with the increased value of the speed of light. Outside it, the equations of special relativity will apply with the normal 'c'. However, when considering two frames of reference, one inside the vacuum, and one outside, the equations of special relativity can no longer be applied, since the assumption of homogeneity has been broken. In other words, the Casimir effect breaks up space into distinct homogeneous regions, each of which obey the special relativity laws separately.
While this may technically qualify as 'faster-than-light', that is only true relative to two disconnected regions of space. It is unclear whether (and unlikely that) a Casimir vacuum is stable under quantum mechanics, and whether non-trivial communication is possible between two such regions.
While getting light to go faster still doesn't mean you can travel faster then it, it just ups the speed limit from the standard one of 299,792,458 m/s, which would be useful.
<b>Option C: Give up causality</b>
Another approach is to accept special relativity, but to posit that mechanisms allowed by general relativity (e.g., wormholes) will allow traveling between two points without going through the intervening space. While this gets around the infinite acceleration problem, it still would lead to closed timelike curves (i.e., time travel) and causality violations.[citation needed] Causality is not required by special or general relativity, but is nonetheless considered a basic property of the universe that should not be abandoned. Because of this, most physicists expect (or perhaps hope) that quantum gravity effects will preclude this option[citation needed]. An alternative is to conjecture that, while time travel is possible, it never leads to paradoxes; this is the Novikov self-consistency principle.
<b>Option D: Give up (absolute) relativity</b>
Due to the strong empirical support for special relativity, any modifications to it must necessarily be quite subtle and difficult to measure. The most well-known attempt is doubly-special relativity, which posits that the Planck length is also the same in all reference frames, and is associated with the work of Giovanni Amelino-Camelia and João Magueijo. One consequence of this theory is a variable speed of light, where photon speed would vary with energy, and some zero-mass particles might possibly travel faster than c. While recent evidence casts doubt on this theory, some physicists still consider it viable.[citation needed] However, even if this theory is true, it is still very unclear that it would allow information to be communicated, and appears not in any case to allow massive particles to exceed c.
There are speculative theories that claim inertia is produced by the combined mass of the universe (e.g., Mach's principle), which implies that the rest frame of the universe might be preferred by conventional measurements of natural law. If confirmed, this would imply special relativity is an approximation to a more general theory, but since the relevant comparison would (by definition) be outside the observable universe, it is difficult to imagine (much less construct) experiments to test this hypothesis.
<b>Option E: Go somewhere where the speed of light is not the limit</b>
A very popular option taken in science fiction novels, movies, television programs, and computer games is to assume the existence of some other realm (typically called hyperspace or subspace) which is accessible from this universe, in which the laws of relativity are usually distorted, bent, or nonexistent, facilitating rapid transport between distant points in this universe, sometimes with acceleration differences - that is, not requiring as much energy or thrust to go faster. To accomplish rapid transport between points in hyperspace/subspace, special relativity is often assumed not to apply in this other realm, or that the speed of light is higher. Another solution is to posit that distant points in the mundane universe correspond to points that are close together in hyperspace.
This method of faster-than-light travel does not correspond to anything seriously proposed by mainstream science, although there are also no arguments precluding its existence.
<b>Option F: Become faster without acceleration</b>
An often-implicit assumption about getting something past light speed is that one must get it to light speed as an intermediate step, thus encountering the infinite energy problem. Similar to the idea of using wormholes to instantly change location, there might be a method to instantly change velocity, rather than having to accelerate through all intermediate velocities. The energy required for acceleration hits an asymptote as one approaches light speed. Thus, an object going much faster than light speed might only need energy comparable to an object going much slower than light; the difficulty lies in figuring out how to "convince" particles to move faster than light without resorting to acceleration. (This also gets around the problem of including a human being; inertia is related to acceleration, not velocity, so it would not occur.)
As of yet, no method is known of instantly changing the velocity of matter.
<b>Option G: Consider speed as a complex quantity</b>
A plot device put forth by science fiction author Catherine Asaro, arises from plugging in faster-than-light speeds into the equations of special relativity, to determine what conditions are necessary for faster-than-light speeds to happen. According to her, this is possible when speed has an imaginary component as well as a real one. See Inversion Drive.
<b>Option H: SpaceTime Fabric</b>
Although the theory of special relativity forbids objects to have a relative velocity greater than light speed, and general relativity reduces to special relativity in a local sense (in small regions of spacetime where curvature is negligible), general relativity does allow the space between distant objects to expand in such a way that they have a "recession velocity" which exceeds the speed of light, and it is thought that galaxies which are at a distance of more than about 14 billion light years from us today have a recession velocity which is faster than light.[1] Miguel Alcubierre theorized that it would be possible to create what is called an Alcubierre drive in which a ship would be enclosed in a "warp bubble" where the space at the front of the bubble is rapidly contracting and the space at the back is rapidly expanding, with the result that the bubble can reach a distant destination much faster than a light beam moving outside the bubble(journal paper). Such warping would require a source of negative energy which would act as anti-gravity.
Here are some of the theories I found on Wikipedia. Enjoy.
<b>Option A: Ignore special relativity</b>
This is the simplest solution, and is particularly popular in science fiction. However, empirical evidence unanimously support Einstein's theory of special relativity as the correct description of high-speed motion, which reduces in the low-speed case to Galilean relativity, which is an approximation only valid for slow speeds. Similarly, general relativity is unanimously supported as the correct theory of gravitation in the regime of very large masses and long distances. Unfortunately, general relativity breaks down at small distances and is no longer valid in the quantum regime. Special relativity is easily incorporated into nongravitational quantum field theories, however it only applies to a flat Minkowski universe.[citation needed] In particular our expanding universe contains stress-energy which curves the ambient space time and perhaps even has a cosmological constant and so is not Minkowski and in particular is not invariant under Poincaré transformations. However even in the broader context of general relativity, acceleration from subluminal to superluminal speeds does not appear to be possible.
<b>Option B: Get light to go faster (Casimir vacuum)</b>
Einstein's equations of special relativity posit that the speed of light is invariant in inertial frames. That is, it will be the same from any frame of reference moving at a constant speed. The equations do not specify any particular value for the speed of the light itself. That is an experimentally determined quantity, though it has an exact value because the units of length are defined using the speed of light.
The experimental determination has been made in vacuum. However the vacuum we know is not the only possible vacuum which can exist. The vacuum has energy associated with it, called the vacuum energy. This vacuum energy can be changed in certain cases. When vacuum energy is lowered, light itself can go faster than the standard value 'c'. Such a vacuum can be produced by bringing two perfectly smooth metal plates together at near atomic diameter spacing. It is called a Casimir vacuum. Calculations imply light will go faster in such a vacuum.[citation needed] However, there has been no experimental verification, since the technology to detect the change isn't yet available.
Einstein's equations of special relativity have an implicit assumption of homogeneity. Space is assumed to be the same everywhere. In the case of the Casimir vacuum, this assumption is clearly violated. Inside the Casimir vacuum, we have homogeneous space, and outside it, we have homogeneous space as well. Inside the Casimir vacuum, the equations of special relativity will apply with the increased value of the speed of light. Outside it, the equations of special relativity will apply with the normal 'c'. However, when considering two frames of reference, one inside the vacuum, and one outside, the equations of special relativity can no longer be applied, since the assumption of homogeneity has been broken. In other words, the Casimir effect breaks up space into distinct homogeneous regions, each of which obey the special relativity laws separately.
While this may technically qualify as 'faster-than-light', that is only true relative to two disconnected regions of space. It is unclear whether (and unlikely that) a Casimir vacuum is stable under quantum mechanics, and whether non-trivial communication is possible between two such regions.
While getting light to go faster still doesn't mean you can travel faster then it, it just ups the speed limit from the standard one of 299,792,458 m/s, which would be useful.
<b>Option C: Give up causality</b>
Another approach is to accept special relativity, but to posit that mechanisms allowed by general relativity (e.g., wormholes) will allow traveling between two points without going through the intervening space. While this gets around the infinite acceleration problem, it still would lead to closed timelike curves (i.e., time travel) and causality violations.[citation needed] Causality is not required by special or general relativity, but is nonetheless considered a basic property of the universe that should not be abandoned. Because of this, most physicists expect (or perhaps hope) that quantum gravity effects will preclude this option[citation needed]. An alternative is to conjecture that, while time travel is possible, it never leads to paradoxes; this is the Novikov self-consistency principle.
<b>Option D: Give up (absolute) relativity</b>
Due to the strong empirical support for special relativity, any modifications to it must necessarily be quite subtle and difficult to measure. The most well-known attempt is doubly-special relativity, which posits that the Planck length is also the same in all reference frames, and is associated with the work of Giovanni Amelino-Camelia and João Magueijo. One consequence of this theory is a variable speed of light, where photon speed would vary with energy, and some zero-mass particles might possibly travel faster than c. While recent evidence casts doubt on this theory, some physicists still consider it viable.[citation needed] However, even if this theory is true, it is still very unclear that it would allow information to be communicated, and appears not in any case to allow massive particles to exceed c.
There are speculative theories that claim inertia is produced by the combined mass of the universe (e.g., Mach's principle), which implies that the rest frame of the universe might be preferred by conventional measurements of natural law. If confirmed, this would imply special relativity is an approximation to a more general theory, but since the relevant comparison would (by definition) be outside the observable universe, it is difficult to imagine (much less construct) experiments to test this hypothesis.
<b>Option E: Go somewhere where the speed of light is not the limit</b>
A very popular option taken in science fiction novels, movies, television programs, and computer games is to assume the existence of some other realm (typically called hyperspace or subspace) which is accessible from this universe, in which the laws of relativity are usually distorted, bent, or nonexistent, facilitating rapid transport between distant points in this universe, sometimes with acceleration differences - that is, not requiring as much energy or thrust to go faster. To accomplish rapid transport between points in hyperspace/subspace, special relativity is often assumed not to apply in this other realm, or that the speed of light is higher. Another solution is to posit that distant points in the mundane universe correspond to points that are close together in hyperspace.
This method of faster-than-light travel does not correspond to anything seriously proposed by mainstream science, although there are also no arguments precluding its existence.
<b>Option F: Become faster without acceleration</b>
An often-implicit assumption about getting something past light speed is that one must get it to light speed as an intermediate step, thus encountering the infinite energy problem. Similar to the idea of using wormholes to instantly change location, there might be a method to instantly change velocity, rather than having to accelerate through all intermediate velocities. The energy required for acceleration hits an asymptote as one approaches light speed. Thus, an object going much faster than light speed might only need energy comparable to an object going much slower than light; the difficulty lies in figuring out how to "convince" particles to move faster than light without resorting to acceleration. (This also gets around the problem of including a human being; inertia is related to acceleration, not velocity, so it would not occur.)
As of yet, no method is known of instantly changing the velocity of matter.
<b>Option G: Consider speed as a complex quantity</b>
A plot device put forth by science fiction author Catherine Asaro, arises from plugging in faster-than-light speeds into the equations of special relativity, to determine what conditions are necessary for faster-than-light speeds to happen. According to her, this is possible when speed has an imaginary component as well as a real one. See Inversion Drive.
<b>Option H: SpaceTime Fabric</b>
Although the theory of special relativity forbids objects to have a relative velocity greater than light speed, and general relativity reduces to special relativity in a local sense (in small regions of spacetime where curvature is negligible), general relativity does allow the space between distant objects to expand in such a way that they have a "recession velocity" which exceeds the speed of light, and it is thought that galaxies which are at a distance of more than about 14 billion light years from us today have a recession velocity which is faster than light.[1] Miguel Alcubierre theorized that it would be possible to create what is called an Alcubierre drive in which a ship would be enclosed in a "warp bubble" where the space at the front of the bubble is rapidly contracting and the space at the back is rapidly expanding, with the result that the bubble can reach a distant destination much faster than a light beam moving outside the bubble(journal paper). Such warping would require a source of negative energy which would act as anti-gravity.