1510:
544:, even though one may be tempted to associate pulse maxima with signals. The latter association has been shown to be misleading, because the information on the arrival of a pulse can be obtained before the pulse maximum arrives. For example, if some mechanism allows the full transmission of the leading part of a pulse while strongly attenuating the pulse maximum and everything behind (distortion), the pulse maximum is effectively shifted forward in time, while the information on the pulse does not come faster than
1033:. Calculations imply that light will go faster in such a vacuum by a minuscule amount: a photon traveling between two plates that are 1 micrometer apart would increase the photon's speed by only about one part in 10. Accordingly, there has as yet been no experimental verification of the prediction. A recent analysis argued that the Scharnhorst effect cannot be used to send information backwards in time with a single set of plates since the plates' rest frame would define a "
871:
later photons "retroactively" determines whether the earlier photons show interference or not, although the interference pattern can only be seen by correlating the measurements of both members of every pair and so it cannot be observed until both photons have been measured, ensuring that an experimenter watching only the photons going through the slit does not obtain information about the other photons in an faster-than-light or backwards-in-time manner.
7137:
7147:
1476:, quantum corrections to general relativity effectively cut off regions of spacetime with causality-violating closed timelike curves. In particular, in the quantum theory a smeared supertube is present that cuts the spacetime in such a way that, although in the full spacetime a closed timelike curve passed through every point, no complete curves exist on the interior region bounded by the tube.
1184:. This general framework has allowed experimental searches by ultra-high energy cosmic-ray experiments and a wide variety of experiments in gravity, electrons, protons, neutrons, neutrinos, mesons, and photons. The breaking of rotation and boost invariance causes direction dependence in the theory as well as unconventional energy dependence that introduces novel effects, including
1132:, 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, but without objects inside the bubble locally traveling faster than light. However,
1552:
946:. In other words, any travel that is faster-than-light will be seen as traveling backwards in time in some other, equally valid, frames of reference, or need to assume the speculative hypothesis of possible Lorentz violations at a presently unobserved scale (for instance the Planck scale). Therefore, any theory which permits "true" FTL also has to cope with
1538:
1437:, which connects two distant locations as though by a shortcut. Both distortions would need to create a very strong curvature in a highly localized region of space-time and their gravity fields would be immense. To counteract the unstable nature, and prevent the distortions from collapsing under their own 'weight', one would need to introduce hypothetical
1524:
626:). The current distance to this cosmological event horizon is about 16 billion light-years, meaning that a signal from an event happening at present would eventually be able to reach us in the future if the event was less than 16 billion light-years away, but the signal would never reach us if the event was more than 16 billion light-years away.
666:. Corrected calculations show these objects have velocities close to the speed of light (relative to our reference frame). They are the first examples of large amounts of mass moving at close to the speed of light. Earth-bound laboratories have only been able to accelerate small numbers of elementary particles to such speeds.
38:
1344:(approximately 1 in 40,000), a statistic with 6.0-sigma significance. On 17 November 2011, a second follow-up experiment by OPERA scientists confirmed their initial results. However, scientists were skeptical about the results of these experiments, the significance of which was disputed. In March 2012, the
1203:
In current models of
Lorentz symmetry violation, the phenomenological parameters are expected to be energy-dependent. Therefore, as widely recognized, existing low-energy bounds cannot be applied to high-energy phenomena; however, many searches for Lorentz violation at high energies have been carried
1058:
is one quintillionth (10) of a second). All that could be measured was 24 attoseconds, which is the limit of the test accuracy. Again, though, other physicists believe that tunneling experiments in which particles appear to spend anomalously short times inside the barrier are in fact fully compatible
780:
in the intervening space between the objects. This is sometimes described in terms of virtual particles interacting with the objects, owing to the mathematical form of one possible way of calculating the strength of the effect. Because the strength of the force falls off rapidly with distance, it is
290:
The rate at which two objects in motion in a single frame of reference get closer together is called the mutual or closing speed. This may approach twice the speed of light, as in the case of two particles travelling at close to the speed of light in opposite directions with respect to the reference
870:
depends on the conditions of observation of a second photon entangled with the first. The characteristic of this experiment is that the observation of the second photon can take place at a later time than the observation of the first photon, which may give the impression that the measurement of the
750:
The
Hartman effect is the tunneling effect through a barrier where the tunneling time tends to a constant for large barriers. This could, for instance, be the gap between two prisms. When the prisms are in contact, the light passes straight through, but when there is a gap, the light is refracted.
1348:
failed to reproduce the OPERA results with their equipment, detecting neutrino travel time from CERN to the Gran Sasso
National Laboratory indistinguishable from the speed of light. Later the OPERA team reported two flaws in their equipment set-up that had caused errors far outside their original
1199:
could have left a "relic field" throughout the universe which causes particles to behave differently depending on their velocity relative to the field; however, there are also some models where
Lorentz symmetry is broken in a more fundamental way. If Lorentz symmetry can cease to be a fundamental
835:
has demonstrated quantum correlations between particles separated by over 10 kilometers. But as noted earlier, the non-local correlations seen in entanglement cannot actually be used to transmit classical information faster than light, so that relativistic causality is preserved. The situation is
1305:
yielding a speed exceeding that of light by 1.8-sigma significance. However, those measurements were considered to be statistically consistent with neutrinos traveling at the speed of light. After the detectors for the project were upgraded in 2012, MINOS corrected their initial result and found
1041:
which suggests that feedback loops of virtual particles would create "uncontrollable singularities in the renormalized quantum stress-energy" on the boundary of any potential time machine, and thus would require a theory of quantum gravity to fully analyze. Other authors argue that
Scharnhorst's
465:
If a spaceship travels to a planet one light-year (as measured in the Earth's rest frame) away from Earth at high speed, the time taken to reach that planet could be less than one year as measured by the traveller's clock (although it will always be more than one year as measured by a clock on
758:, also because the tunnelling time "should not be linked to a velocity since evanescent waves do not propagate". The evanescent waves in the Hartman effect are due to virtual particles and a non-propagating static field, as mentioned in the sections above for gravity and electromagnetism.
621:
where any light they emit past that point will never be able to reach us at any time in the infinite future, because the light never reaches a point where its "peculiar velocity" towards us exceeds the expansion velocity away from us (these two notions of velocity are also discussed in
298:
of the collider type. The closing speed would be the rate at which the distance between the two particles is decreasing. From the point of view of an observer standing at rest relative to the accelerator, this rate will be slightly less than twice the speed of light.
6261:
836:
akin to sharing a synchronized coin flip, where the second person to flip their coin will always see the opposite of what the first person sees, but neither has any way of knowing whether they were the first or second flipper, without communicating classically. See
470:. There is no limit on the value of a proper speed as a proper speed does not represent a speed measured in a single inertial frame. A light signal that left the Earth at the same time as the traveller would always get to the destination before the traveller would.
455:
1234:
is not an exact symmetry of nature but rather the approximate description valid only for the small fluctuations of the superfluid background. Within the framework of the approach, a theory was proposed in which the physical vacuum is conjectured to be a
1156:
around a spaceship with an extremely large amount of energy would create a "bubble" that could cause the ship to travel faster than the speed of light. To create this bubble, the physicists believe manipulating the 10th spatial dimension would alter the
1002:. 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 light, which is an experimentally determined quantity for a fixed unit of length. Since 1983, the
823:
state are correlated even when the measurements are distant from the source and each other. However, no information can be transmitted this way; the answer to whether or not the measurement actually affects the other quantum system comes down to which
2168:
1037:" for FTL signaling. However, with multiple pairs of plates in motion relative to one another the authors noted that they had no arguments that could "guarantee the total absence of causality violations", and invoked Hawking's speculative
1179:
The possibility that
Lorentz symmetry may be violated has been seriously considered in the last two decades, particularly after the development of a realistic effective field theory that describes this possible violation, the so-called
501:) component of the wave at that frequency. Such a wave component must be infinite in extent and of constant amplitude (otherwise it is not truly monochromatic), and so cannot convey any information. Thus a phase velocity above
781:
only measurable when the distance between the objects is extremely small. Because the effect is due to virtual particles mediating a static field effect, it is subject to the comments about static fields discussed above.
4216:
Zloshchastiev, Konstantin G.; Chakrabarti, Sandip K.; Zhuk, Alexander I.; Bisnovatyi-Kogan, Gennady S. (2010). "Logarithmic nonlinearity in theories of quantum gravity: Origin of time and observational consequences".
1119:
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
257:
view, for objects such as comets to vary their speed from subluminal to superluminal and vice versa simply because the distance from the Earth varies. Comets may have orbits which take them out to more than 1000
1144:
move faster than light travelling through the wormhole alongside them, but they would be able to reach their destination (and return to their starting location) faster than light traveling outside the wormhole.
248:
away. In this frame of reference, in which
Proxima Centauri is perceived to be moving in a circular trajectory with a radius of four light years, it could be described as having a speed many times greater than
4315:
Adamson, P.; Andreopoulos, C.; Arms, K.; Armstrong, R.; Auty, D.; Avvakumov, S.; Ayres, D.; Baller, B.; et al. (2007). "Measurement of neutrino velocity with the MINOS detectors and NuMI neutrino beam".
4631:, p. 286: "People initially thought of tachyons as particles travelling faster than the speed of light...But we now know that a tachyon indicates an instability in a theory that contains it. Regrettably for
41:
Because the sphere travels faster than light, the observer sees nothing until it has already passed. Then, two images appear: one of the sphere arriving (on the right) and one of it departing (on the left).
1053:
that particle tunneling does indeed occur in zero real time. Their tests involved tunneling electrons, where the group argued a relativistic prediction for tunneling time should be 500–600 attoseconds (an
4472:
1124:" 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.
698:
of its environment. Since the underlying behavior does not violate local causality or allow FTL communication, it follows that neither does the additional effect of wavefunction collapse, whether real
6166:
3255:
Eckle, P.; Pfeiffer, A. N.; Cirelli, C.; Staudte, A.; Dorner, R.; Muller, H. G.; Buttiker, M.; Keller, U. (5 December 2008). "Attosecond
Ionization and Tunneling Delay Time Measurements in Helium".
262:. The circumference of a circle with a radius of 1000 AU is greater than one light day. In other words, a comet at such a distance is superluminal in a geostatic, and therefore non-inertial, frame.
595:, velocity is a local notion, and there is not even a unique definition for the relative velocity of a cosmologically distant object. Faster-than-light cosmological recession speeds are entirely a
1200:
symmetry at the Planck scale or at some other fundamental scale, it is conceivable that particles with a critical speed different from the speed of light be the ultimate constituents of matter.
1017:
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 simply the
228:
In the following examples, certain influences may appear to travel faster than light, but they do not convey energy or information faster than light, so they do not violate special relativity.
1161:
in three large spatial dimensions: height, width and length. Cleaver said positive dark energy is currently responsible for speeding up the expansion rate of our universe as time moves on.
532:
in some circumstances. In such cases, which typically at the same time involve rapid attenuation of the intensity, the maximum of the envelope of a pulse may travel with a velocity above
148:. Such proposals are still widely believed to be impossible as they still violate current understandings of causality, and they all require fanciful mechanisms to work (such as requiring
969:. In general relativity no coordinate system on a large region of curved spacetime is "inertial", so it is permissible to use a global coordinate system where objects travel faster than
5293:
686:
these phenomena do not allow true communication; they only let two observers in different locations see the same system simultaneously, without any way of controlling what either sees.
466:
Earth). The value obtained by dividing the distance traveled, as determined in the Earth's frame, by the time taken, measured by the traveller's clock, is known as a proper speed or a
1966:
Bowlan, P.; Valtna-Lukner, H.; Lõhmus, M.; Piksarv, P.; Saari, P.; Trebino, R. (2009). "Measurement of the spatiotemporal electric field of ultrashort superluminal Bessel-X pulses".
358:
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2231:
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will prohibit them. One theory states that stable wormholes are possible, but that any attempt to use a network of wormholes to violate causality would result in their decay. In
1136:
raised against the
Alcubierre drive appear to rule out the possibility of actually using it in any practical fashion. Another possibility predicted by general relativity is the
174:
in vacuum, which is 299,792,458 m/s (by definition of the metre) or about 186,282.397 miles per second. This is not quite the same as traveling faster than light, since:
5070:
309:
to compute the velocity of one of the particles, as would be measured by an observer traveling alongside the other particle. That is, special relativity gives the correct
4163:
Avdeenkov, Alexander V.; Zloshchastiev, Konstantin G. (2011). "Quantum Bose liquids with logarithmic nonlinearity: Self-sustainability and emergence of spatial extent".
610:
is decreasing with time, there can actually be cases where a galaxy that is receding from us faster than light does manage to emit a signal which reaches us eventually.
4604:
3307:
1417:. It maintains the principle that no object can accelerate to the speed of light in the reference frame of any coincident observer. However, it permits distortions in
662:
caused by the object partly moving in the direction of the observer, when the speed calculations assume it does not. The phenomenon does not contradict the theory of
144:. Some of these proposals find loopholes around general relativity, such as by expanding or contracting space to make the object appear to be travelling greater than
6356:
5438:
4797:
913:
in vacuum. This result means that measurements of time and velocity in different frames are no longer related simply by constant shifts, but are instead related by
736:
faster than the vacuum velocity of light. However, as stated above, a superluminal phase velocity cannot be used for faster-than-light transmission of information
5594:
4463:
3997:
2229:
Davis, T. M.; Lineweaver, C. H. (2004). "Expanding
Confusion: common misconceptions of cosmological horizons and the superluminal expansion of the universe".
2511:
6552:
1140:, which could create a shortcut between arbitrarily distant points in space. As with the Alcubierre drive, travelers moving through the wormhole would not
7150:
2120:
724:
There have been various reports in the popular press of experiments on faster-than-light transmission in optics — most often in the context of a kind of
4110:
Zloshchastiev, Konstantin G. (2011). "Spontaneous symmetry breaking and mass generation as built-in phenomena in logarithmic nonlinear quantum theory".
1021:, which could perhaps be altered in certain cases. When vacuum energy is lowered, light itself has been predicted to go faster than the standard value
5627:
1103:, it is difficult to imagine (much less construct) experiments to test this hypothesis. Despite this difficulty, such experiments have been proposed.
840:
for further information. A 2008 quantum physics experiment also performed by Nicolas Gisin and his colleagues has determined that in any hypothetical
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6231:
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in the limit of low momenta. The important fact is that at very high velocities the behavior of the particle-like modes becomes distinct from the
1185:
1046:
signals, involved approximations which may be incorrect, so that it is not clear whether this effect could actually increase signal speed at all.
1191:
In some models of broken Lorentz symmetry, it is postulated that the symmetry is still built into the most fundamental laws of physics, but that
694:
of quantum decoherence, which in turn is nothing more than an effect of the underlying local time evolution of the wavefunction of a system and
6700:
6640:
5416:
614:
270:
If a laser beam is swept across a distant object, the spot of laser light can easily be made to move across the object at a speed greater than
1509:
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1765:
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973:, but in the local neighborhood of any point in curved spacetime we can define a "local inertial frame" and the local speed of light will be
5255:
6995:
6933:
6688:
6316:
6151:
825:
3028:
2535:
1591:
1188:
and modifications to the dispersion relations of different particle species, which naturally could make particles move faster than light.
5135:
Yan, Kun (2006). "The tendency analytical equations of stable nuclides and the superluminal velocity motion laws of matter in geospace".
6567:
6206:
6090:
1333:
1244:
1629:
1029:. Such a vacuum can be produced by bringing two perfectly smooth metal plates together at near atomic diameter spacing. It is called a
754:
However, it has been claimed that the Hartman effect cannot actually be used to violate relativity by transmitting signals faster than
6964:
6928:
6862:
6562:
6508:
5065:
Cramer, J. G. (2009). "Faster-than-Light Implications of Quantum Entanglement and Nonlocality". In Millis, M. G.; et al. (eds.).
3067:
3036:
3005:
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1566:
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with relativity, although there is disagreement about whether the explanation involves reshaping of the wave packet or other effects.
31:
7172:
6050:
5376:
4382:
3084:"What is the 'zero-point energy' (or 'vacuum energy') in quantum physics? Is it really possible that we could harness this energy?"
3361:
For a summary of Herbert G. Winful's explanation for apparently superluminal tunneling time which does not involve reshaping, see
497:
frequencies. However, the phase velocity of a wave corresponds to the propagation speed of a theoretical single-frequency (purely
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5768:
5212:
4446:
2035:
1038:
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942:
Some observers with sub-light relative motion will disagree about which occurs first of any two events that are separated by a
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5361:
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Winful, H. G. (2006). "Tunneling time, the Hartman effect, and superluminality: A proposed resolution of an old paradox".
1357:
attached improperly, which caused the apparently faster-than-light measurements, and a clock oscillator ticking too fast.
1192:
1003:
866:
is a version of the EPR paradox in which the observation (or not) of interference after the passage of a photon through a
863:
857:
623:
584:
1236:
7177:
7005:
6847:
6683:
5994:
5408:
5318:
4014:
3543:"Is there a resting frame in the universe? A proposed experimental test based on a precise measurement of particle mass"
3135:
Liberati, Stefano; Sonego, Sebastiano; Visser, Matt (2002). "Faster-than-c Signals, Special Relativity, and Causality".
3114:
2910:
1611:
845:
253:
as the rim speed of an object moving in a circle is a product of the radius and angular speed. It is also possible on a
83:
1843:
606:
numbers of 1.4 or higher. All of these have cosmological recession speeds greater than the speed of light. Because the
579:
causes distant galaxies to recede from us faster than the speed of light. However, the recession speed associated with
5844:
5699:
5589:
5566:
5433:
4974:
962:
537:
506:
3948:
2842:
Kim, Yoon-Ho; Yu, Rong; Kulik, Sergei P.; Shih, Yanhua; Scully, Marlan O. (2000). "Delayed "Choice" Quantum Eraser".
1099:
is an approximation to a more general theory, but since the relevant comparison would (by definition) be outside the
682:, might give the superficial impression of allowing communication of information faster than light. According to the
1391:
failed to produce faster-than-light particles, and instead illustrated that their presence leads to an instability.
954:
to be a symmetry of thermodynamical statistical nature (hence a symmetry broken at some presently unobserved scale).
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7015:
6015:
5959:
5689:
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2595:
1643:
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particle would increase with speed in such a way that at the speed of light an object would have infinite momentum.
914:
880:
751:
There is a non-zero probability that the photon will tunnel across the gap rather than follow the refracted path.
128:) speed with respect to the locally distorted spacetime region. Speculative faster-than-light concepts include the
87:
61:
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7031:
6852:
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6065:
6025:
5839:
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5015:
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That group found, although with less precision, that the neutrino speeds were consistent with the speed of light.
3429:
Amelino-Camelia, Giovanni (1 November 2009). "Doubly-Special Relativity: Facts, Myths and Some Key Open Issues".
2470:
1968:
1849:
1465:
1072:
576:
310:
5211:
Withayachumnankul, Withawat; Fischer, Bernd M; Ferguson, Bradley; Davis, Bruce R; Abbott, Derek (October 2010).
773:
450:{\displaystyle \beta _{\text{rel}}={\frac {\beta +\beta }{1+\beta ^{2}}}={\frac {2\beta }{1+\beta ^{2}}}\leq 1.}
166:
In the context of this article, "faster-than-light" means the transmission of information or matter faster than
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6577:
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1217:
1205:
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1071:, any modifications to it must necessarily be quite subtle and difficult to measure. The best-known attempt is
936:
would require infinite time with any finite acceleration, or infinite acceleration for a finite amount of time.
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683:
2079:
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1087:. There are speculative theories that claim inertia is produced by the combined mass of the universe (e.g.,
2779:
Salart, D.; Baas, A.; Branciard, C.; Gisin, N.; Zbinden, H. (2008). "Testing spooky action at a distance".
1271:
at finite energy; also, faster-than-light propagation is possible without requiring moving objects to have
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in this frame, with massive objects moving through this local neighborhood always having a speed less than
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6816:
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Chodos, A.; Kostelecký, V. A.; Potting, R.; Gates, Evalyn (1992). "Null experiments for neutrino masses".
4632:
3619:
1543:
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841:
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for a particle interaction. However, it was shown in 2011 that a single photon may not travel faster than
709:
implies that individual photons may travel for short distances at speeds somewhat faster (or slower) than
5283:
1725:
1208:. Lorentz symmetry violation is expected to become stronger as one gets closer to the fundamental scale.
6981:
6903:
6529:
6371:
5895:
5756:
4791:
4425:) (22 September 2011). "Measurement of the neutrino velocity with the OPERA detector in the CNGS beam".
4262:
Zloshchastiev, Konstantin G. (2011). "Vacuum Cherenkov effect in logarithmic nonlinear quantum theory".
3083:
2931:
1252:
706:
687:
596:
274:. Similarly, a shadow projected onto a distant object can be made to move across the object faster than
6266:
5266:
4497:) (17 November 2011). "Measurement of the neutrino velocity with the OPERA detector in the CNGS beam".
4924:
Gimon, Eric G.; Hořava, Petr (2004). "Over-rotating black holes, Gödel holography and the hypertube".
1421:
that allow an object to move faster than light from the point of view of a distant observer. One such
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4547:) (15 March 2012). "Measurement of the neutrino velocity with the ICARUS detector at the CNGS beam".
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236:
For an earth-bound observer, objects in the sky complete one revolution around the Earth in one day.
114:
5156:
Glasser, Ryan T. (2012). "Stimulated Generation of Superluminal Light Pulses via Four-Wave Mixing".
3624:
3386:
Sokolovski, D. (8 February 2004). "Why does relativity allow quantum tunneling to 'take no time'?".
7106:
7010:
6181:
5807:
5556:
5532:
5505:
4744:
Chodos, Alan; Alan Kostelecký, V.; IUHET 280 (1994). "Nuclear null tests for spacelike neutrinos".
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1100:
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57:
7146:
3308:"Tunneling time, the Hartman effect, and superluminality: A proposed resolution of an old paradox"
848:(what Einstein called "spooky action at a distance") is at least 10,000 times the speed of light.
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Markus Pössel: Faster-than-light (FTL) speeds in tunneling experiments: an annotated bibliography
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3434:
3411:
3288:
3237:
3203:
3172:
3146:
2887:
2853:
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2790:
2414:
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2321:
2295:
2266:
2240:
2112:
2060:
1993:
1948:
1410:
1406:
1248:
1121:
1116:
1112:
1096:
1068:
1026:
995:
951:
943:
796:
725:
663:
592:
302:
218:
141:
5288:
5088:
Alcubierre, Miguel (1994-05-01). "The warp drive: hyper-fast travel within general relativity".
4399:
3732:
Colladay, Don; Kostelecký, V. Alan (1998). "Lorentz-violating extension of the standard model".
3592:
Alcubierre, Miguel (1 May 1994). "The warp drive: hyper-fast travel within general relativity".
3838:
Gonzalez-Mestres, Luis (2009). "AUGER-HiRes results and models of Lorentz symmetry violation".
2445:
7207:
7202:
7051:
7000:
6801:
6776:
6351:
6226:
5861:
5817:
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5398:
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4544:
4067:
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3515:
3452:
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3229:
3137:
3063:
3032:
3022:
3001:
2879:
2816:
2648:
2626:
2620:
2599:
2539:
2529:
2503:
2449:
2387:; McKee, C. F.; Rees, M. J. (1977). "Super-luminal expansion in extragalactic radio sources".
2286:
2087:
1940:
1913:
Wang, L. J.; Kuzmich, A.; Dogariu, A. (2000). "Gain-assisted superluminal light propagation".
1821:
1792:
1782:
1761:
1751:
1681:
1456:. Many physicists believe that the above phenomena are impossible and that future theories of
1354:
1149:
1125:
816:
675:
588:
314:
259:
5260:
3053:
2589:
901:
and, for the coordinate speed of light, non-inertial observers, regardless of their relative
6908:
6806:
6635:
6301:
5822:
5229:
5183:
5115:
4991:
4906:
4830:
4771:
4724:
4716:
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4574:
4494:
4462:
4422:
4370:
4343:
4289:
4244:
4190:
4137:
3979:
3971:
3921:
3865:
3812:
3759:
3706:
3629:
3572:
3507:
3444:
3403:
3368:
3363:
Winful, Herbert (2007). "New paradigm resolves old paradox of faster-than-light tunneling".
3330:
3272:
3221:
3164:
2967:
2871:
2808:
2781:
2739:
2702:
2665:
2495:
2441:
2433:
2406:
2389:
2358:
2341:
2313:
2258:
2104:
2052:
1985:
1932:
1915:
1889:
1557:
1426:
1321:
1231:
1133:
1129:
1084:
659:
549:
237:
194:
129:
7101:
6948:
6923:
6878:
6201:
5866:
5834:
5802:
5636:
5273:
4371:
2722:
2384:
1495:
1388:
1324:
indicated detection of 17 and 28 GeV muon neutrinos, sent 730 kilometers (454 miles) from
1034:
800:
714:
467:
254:
5039:
4945:
4194:
1644:"The 17th Conférence Générale des Poids et Mesures (CGPM) : Definition of the metre"
1473:
607:
580:
572:
5179:
5148:
5111:
4987:
4902:
4871:
4826:
4767:
4712:
4675:
4570:
4339:
4285:
4240:
4186:
4133:
3967:
3917:
3894:
Kostelecký, V. Alan; Russell, Neil (2011). "Data tables for Lorentz and CPT violation".
3861:
3808:
3755:
3702:
3615:
3568:
3503:
3399:
3326:
3268:
3217:
3160:
2867:
2804:
2735:
2698:
2661:
2574:
2491:
2402:
2354:
2309:
2254:
2100:
1981:
1928:
1885:
17:
7091:
7076:
7071:
6893:
6888:
6645:
6397:
6331:
6306:
6276:
6251:
6171:
6156:
5561:
5349:
4645:
4600:
2020:
2013:
1869:
1817:
1576:
1515:
1469:
1272:
1268:
1030:
1011:
999:
890:
804:
767:
745:
733:
729:
525:
482:
171:
133:
73:
4684:
3869:
2034:
Withayachumnankul, W.; Fischer, B. M.; Ferguson, B.; Davis, B. R.; Abbott, D. (2010).
7166:
7121:
7081:
6791:
6402:
6392:
6296:
5783:
5354:
5119:
5003:
4995:
4910:
4775:
4720:
4301:
4202:
4149:
3633:
3466:
3433:. Statistical Science and Interdisciplinary Research. Vol. 9. pp. 123–170.
3415:
3292:
2997:
2434:
1997:
1461:
1438:
1260:
1240:
1153:
1076:
1018:
832:
777:
691:
639:
618:
556:
498:
149:
5203:
4783:
4699:
Chodos, A.; Hauser, A. I.; Alan Kostelecký, V. (1985). "The neutrino as a tachyon".
4586:
4355:
3877:
3824:
3527:
2370:
2270:
2138:
2116:
2064:
182:, but cannot carry information (see examples in the sections immediately following).
6883:
6673:
6630:
6361:
6281:
6221:
6196:
6133:
5187:
4578:
4293:
3933:
3771:
3718:
3679:
Colladay, Don; Kostelecký, V. Alan (1997). "CPT violation and the standard model".
3641:
2891:
2828:
2669:
2499:
2418:
2325:
2080:"Acceleration of femtosecond pulses to superluminal velocities by Gouy phase shift"
1952:
1529:
1306:
agreement with the speed of light. Further measurements are going to be conducted.
1299:
812:
808:
241:
4649:
3785:
Kostelecký, V. Alan (2004). "Gravity, Lorentz violation, and the standard model".
3334:
2743:
617:, it is projected that most galaxies will eventually cross a type of cosmological
294:
Imagine two fast-moving particles approaching each other from opposite sides of a
278:. In neither case does the light travel from the source to the object faster than
3577:
3542:
3241:
3176:
2560:
120:
According to all observations and current scientific theories, matter travels at
6820:
6412:
6311:
6286:
6271:
5778:
5467:
5011:
4946:"Themes : Faster Than Light : SFE : Science Fiction Encyclopedia"
4040:
3656:"Traveling Faster Than the Speed of Light: A New Idea That Could Make It Happen"
1491:
1449:
1158:
947:
886:
790:
655:
651:
563:
causes the peak of the pulse to propagate faster, while overall power does not.
560:
110:
69:
5233:
4347:
3816:
3763:
3448:
2469:
Zhang, S.; Chen, J. F.; Liu, C.; Loy, M. M. T.; Wong, G. K. L.; Du, S. (2011).
2317:
2056:
1379:
the speed of light. However, it might be possible for an object to exist which
713:, even in vacuum; this possibility must be taken into account when enumerating
6826:
6781:
6771:
6407:
6161:
5984:
5920:
5021:
4834:
3225:
2906:
2339:
Rees, M. J. (1966). "Appearance of relativistically expanding radio sources".
1581:
1505:
1422:
1227:
1055:
245:
5256:
Measurement of the neutrino velocity with the OPERA detector in the CNGS beam
5241:
5127:
4629:
Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions
4141:
4071:
4018:
3925:
3710:
3233:
3109:
2875:
1989:
1079:
is also the same in all reference frames, and is associated with the work of
957:
In special relativity the coordinate speed of light is only guaranteed to be
6587:
6475:
6256:
5935:
5930:
5903:
5873:
5856:
5551:
5500:
5490:
5047:
3975:
3276:
3059:
1453:
1430:
1418:
1302:
1095:
by conventional measurements of natural law. If confirmed, this would imply
493:, the vacuum velocity of light. For example, this occurs in most glasses at
222:
5278:
5261:
Encyclopedia of laser physics and technology on "superluminal transmission"
5195:
3519:
3407:
3372:
3284:
3168:
2883:
2820:
2507:
1944:
1398:
might have a tachyonic nature, while others have disputed the possibility.
885:
Faster-than-light communication is, according to relativity, equivalent to
3993:
1115:
forbids objects to have a relative velocity greater than light speed, and
320:
It is instructive to compute the relative velocity of particles moving at
6857:
5999:
5925:
5741:
4650:"Will the real 4D, N=1 SG limit of superstring/M-theory please stand up?"
2858:
2758:
2300:
2245:
1784:
The Wonderful World of Relativity: A Precise Guide for the General Reader
1434:
1395:
1196:
1137:
902:
898:
893:
in vacuum (or near vacuum) is actually the fundamental physical constant
776:
is a physical force exerted between separate objects due to resonance of
603:
137:
2812:
2646:
Martinez, J. C.; Polatdemir, E. (2006). "Origin of the Hartman effect".
1651:
1387:
with this property are called tachyons or tachyonic particles. Attempts
7056:
6751:
5915:
4972:
Falla, D. F.; Floyd, M. J. (2002). "Superluminal motion in astronomy".
4930:
4862:
4758:
4666:
3799:
3746:
3693:
2108:
1537:
1457:
1444:
General relativity also recognizes that any means of faster-than-light
1414:
1366:
1042:
original analysis, which seemed to show the possibility of faster-than-
102:
91:
37:
5102:
4729:
4248:
3984:
3606:
3494:
3480:
Amelino-Camelia, Giovanni (1 July 2002). "Doubly Special Relativity".
3151:
2706:
1893:
5795:
5303:
2410:
2362:
1936:
1844:"An Objection Against the Theory of Relativity and its Removal"
1701:
1445:
1433:
that carries an object along with it. Another possible system is the
1223:
965:; in a non-inertial frame the coordinate speed may be different from
906:
647:
643:
225:, and thus neither qualifies as faster-than-light as described here.
65:
4886:
4503:
4431:
3511:
3194:
in nontrivial vacua in flat space-time? Relativistic causality II".
2284:
Loeb, A. (2002). "The Long-Term Future of Extragalactic Astronomy".
2262:
3559:
27:
Propagation of information or matter faster than the speed of light
5878:
5751:
5605:
5170:
4635:, tachyons are not real physical particles that appear in nature."
4561:
4464:"Scientists Report Second Sighting of Faster-Than-Light Neutrinos"
4330:
4276:
4231:
4177:
4124:
3908:
3852:
3439:
3208:
2795:
1295:
1289:
1007:
494:
5298:
5263:, with more details on phase and group velocity, and on causality
2968:"If we could travel faster than light, could we go back in time?"
536:. However, even this situation does not imply the propagation of
328:
in accelerator frame, which corresponds to the closing speed of 2
2146:
1371:
In special relativity, it is impossible to accelerate an object
1325:
922:
5609:
5307:
4448:
Neutrinos Travel Faster Than Light, According to One Experiment
2078:
Horváth, Z. L.; Vinkó, J.; Bor, Zs.; von der Linde, D. (1996).
1336:
in Italy, traveling faster than light by a relative amount of
1298:
collaboration reported results measuring the flight-time of 3
1152:, theorized that manipulating the extra spatial dimensions of
1148:
Gerald Cleaver and Richard Obousy, a professor and student of
1091:), which implies that the rest frame of the universe might be
998:
postulates that the speed of light in vacuum is invariant in
5284:
Usenet Physics FAQ: is FTL travel or communication Possible?
305:
does not prohibit this. It tells us that it is wrong to use
105:) have been hypothesized, but their existence would violate
5294:
Conical and paraboloidal superluminal particle accelerators
4165:
Journal of Physics B: Atomic, Molecular and Optical Physics
4091:
Volovik, G. E. (2003). "The Universe in a helium droplet".
3949:"Spontaneous breaking of Lorentz symmetry in string theory"
2169:"Is the universe expanding faster than the speed of light?"
1612:"Quantum-tunnelling time is measured using ultracold atoms"
4848:
Chang, Tsao (2002). "Parity Violation and Neutrino Mass".
591:, is not a velocity in a relativistic sense. Moreover, in
5299:
Relativity and FTL (=Superluminal motion) Travel Homepage
624:
Comoving and proper distances#Uses of the proper distance
3190:
Fearn, H. (2007). "Can light signals travel faster than
1726:"Is Faster-Than-Light Travel or Communication Possible?"
950:
and all its associated paradoxes, or else to assume the
489:, when traveling through a medium, can routinely exceed
98:
the speed of light, and that nothing may travel faster.
2622:
Special Relativity: Will it Survive the Next 101 Years?
939:
Either way, such acceleration requires infinite energy.
811:
that was realized experimentally for the first time by
2683:
Hartman, T. E. (1962). "Tunneling of a Wave Packet".
2232:
Publications of the Astronomical Society of Australia
917:. These transformations have important implications:
654:. The effect was predicted before it was observed by
361:
282:, nor does any information travel faster than light.
5213:"A Systemized View of Superluminal Wave Propagation"
4519:"Study rejects "faster than light" particle finding"
4400:"MINOS reports new measurement of neutrino velocity"
2036:"A Systemized View of Superluminal Wave Propagation"
1375:
the speed of light, or for a massive object to move
7044:
7024:
6957:
6871:
6840:
6744:
6659:
6616:
6607:
6543:
6522:
6486:
6441:
6434:
6385:
6142:
6121:
6114:
6008:
5948:
5894:
5708:
5643:
5582:
5541:
5480:
5339:
4372:"Tiny neutrinos may have broken cosmic speed limit"
2591:
Logic and Algebraic Structures in Quantum Computing
1676:University of York Science Education Group (2001).
1429:, which can be thought of as producing a ripple in
602:There are many galaxies visible in telescopes with
5071:American Institute of Aeronautics and Astronautics
2588:Chubb, J.; Eskandarian, A.; Harizanov, V. (2016).
2012:
905:, will always measure zero-mass particles such as
449:
3947:Kostelecký, V. A.; Samuel, S. (15 January 1989).
3889:
3887:
1671:
1669:
819:. In this experiment, the two measurements of an
1128:theorized that it would be possible to create a
4219:American Institute of Physics Conference Series
2625:(Illustrated ed.). Springer. p. 506.
1678:Salter Horners Advanced Physics A2 Student Book
1230:which is essentially non-relativistic, whereas
185:In some materials where light travels at speed
5595:Fédération Aéronautique Internationale records
728:phenomenon. Usually, such reports deal with a
5621:
5319:
4093:International Series of Monographs on Physics
2953:Relativity:the special and the general theory
1708:. Royal Greenwich Observatory. 15 April 1996.
615:the expansion of the universe is accelerating
548:without this effect. However, group velocity
210:
101:Particles whose speed exceeds that of light (
8:
1067:Because of the strong empirical support for
4796:: CS1 maint: numeric names: authors list (
3840:Nuclear Physics B - Proceedings Supplements
3055:An Introduction to the Science of Cosmology
2191:Lineweaver, C.; Davis, T. M. (March 2005).
1320:On September 22, 2011, a preprint from the
6613:
6438:
6118:
5952:
5712:
5628:
5614:
5606:
5326:
5312:
5304:
3431:Recent Developments in Theoretical Physics
1394:Various theorists have suggested that the
1383:moves faster than light. The hypothetical
5169:
5101:
4929:
4885:Hughes, R. J.; Stephenson, G. J. (1990).
4861:
4757:
4728:
4683:
4665:
4560:
4502:
4430:
4329:
4275:
4230:
4176:
4123:
3983:
3907:
3851:
3798:
3745:
3692:
3623:
3605:
3576:
3558:
3493:
3438:
3207:
3150:
2857:
2794:
2299:
2244:
1702:"The Furthest Object in the Solar System"
432:
411:
399:
375:
366:
360:
197:) other particles can travel faster than
4017:. PhysicsWeb. 2004-04-05. Archived from
4015:"PhysicsWeb – Breaking Lorentz symmetry"
1195:of Lorentz invariance shortly after the
36:
2186:
2184:
2182:
1719:
1717:
1715:
1603:
1186:Lorentz-violating neutrino oscillations
6372:Writers and Illustrators of the Future
4789:
4039:Mavromatos, Nick E. (15 August 2002).
3110:"Secret of the vacuum: Speedier light"
3024:Relativity and the Nature of Spacetime
2531:The Mathematical Theory of Information
2471:"Optical Precursor of a Single Photon"
1753:Four Decades of Scientific Explanation
1249:relativistic gravitational interaction
1212:Superfluid theories of physical vacuum
156:Superluminal travel of non-information
86:implies that only particles with zero
4369:Overbye, Dennis (22 September 2011).
3029:Springer Science & Business Media
2536:Springer Science & Business Media
1171:Modern searches for Lorentz violation
991:Casimir vacuum and quantum tunnelling
583:, defined as the rate of increase in
559:in vacuum (without attenuation). The
178:Some processes propagate faster than
7:
4461:Overbye, Dennis (18 November 2011).
4041:"Testing models for quantum gravity"
3306:Winful, Herbert G. (December 2006).
3052:Raine, D. J.; Thomas, E. G. (2001).
2562:When Can Light Go Faster Than Light?
928:To accelerate an object of non-zero
336:. Expressing the speeds in units of
217:Neither of these phenomena violates
5567:greatest of a spacecraft population
4648:; Nishino, Hitoshi (October 2000).
3541:Chang, Donald C. (March 22, 2017).
2955:. Methuen & Co. pp. 25–27.
2619:Ehlers, J.; Lämmerzahl, C. (2006).
2193:"Misconceptions about the Big Bang"
2167:Rothstein, D. (10 September 2003).
2015:Wave Propagation and Group Velocity
1870:"Phase, Group, and Signal Velocity"
831:An experiment performed in 1997 by
826:interpretation of quantum mechanics
795:The EPR paradox refers to a famous
64:are the conjectural propagation of
3547:The European Physical Journal Plus
3388:Proceedings of the Royal Society A
2994:Time Travel in Einstein's Universe
2567:University of California, Berkeley
1567:Faster-than-light neutrino anomaly
1316:Faster-than-light neutrino anomaly
505:does not imply the propagation of
32:Faster-than-light (disambiguation)
25:
5496:furthest landing on another world
4385:from the original on 2022-01-02.
3870:10.1016/j.nuclphysbps.2009.03.088
3108:Scharnhorst, Klaus (1990-05-12).
7145:
7136:
7135:
5720:Apocalyptic and post-apocalyptic
5506:furthest travel on another world
4451:, Science NOW, 22 September 2011
4003:from the original on 2021-07-13.
2517:from the original on 2019-12-05.
2126:from the original on 2003-04-03.
1550:
1536:
1522:
1508:
1245:logarithmic Schrödinger equation
1039:chronology protection conjecture
842:non-local hidden-variable theory
5067:Frontiers of Propulsion Science
4475:from the original on 2022-01-02
2932:"Delayed choice quantum eraser"
2761:. Center for Quantum Philosophy
2757:Suarez, A. (26 February 2015).
2211:from the original on 2006-05-27
2165:See the last two paragraphs in
2143:Ned Wright's Cosmology Tutorial
1730:The Original Usenet Physics FAQ
1680:. Heinemann. pp. 302–303.
1592:Wheeler–Feynman absorber theory
1486:Space travel in science fiction
1222:In this approach, the physical
921:The relativistic momentum of a
240:, the nearest star outside the
7097:Science and technology studies
5188:10.1103/PhysRevLett.108.173902
4850:Nuclear Science and Techniques
4579:10.1016/j.physletb.2012.05.033
4402:. Fermilab today. June 8, 2012
4294:10.1016/j.physleta.2011.05.012
4221:. AIP Conference Proceedings.
4195:10.1088/0953-4075/44/19/195303
4060:"Interpreting the Cosmic Rays"
4058:Overbye, Dennis (2002-12-31).
2670:10.1016/j.physleta.2005.10.076
2500:10.1103/PhysRevLett.106.243602
2137:Wright, E. L. (12 June 2009).
1758:University of Pittsburgh Press
1480:In fiction and popular culture
1334:Gran Sasso National Laboratory
1251:arises as the small-amplitude
1049:It was later claimed by Eckle
1:
5289:Relativity, FTL and causality
5279:Relativity and FTL Travel FAQ
5090:Classical and Quantum Gravity
5014:(2008). "Faster than Light".
4887:"Against tachyonic neutrinos"
4685:10.1016/S0370-2693(00)01073-X
3594:Classical and Quantum Gravity
3335:10.1016/j.physrep.2006.09.002
2744:10.1016/j.physrep.2006.09.002
2139:"Cosmology Tutorial – Part 2"
1193:spontaneous symmetry breaking
1063:Give up (absolute) relativity
1010:) has been defined using the
864:delayed-choice quantum eraser
858:Delayed-choice quantum eraser
852:Delayed choice quantum eraser
4911:10.1016/0370-2693(90)90275-B
4776:10.1016/0370-2693(94)90535-5
4721:10.1016/0370-2693(85)90460-5
4543:Antonello, M.; et al. (
3115:Vrije Universiteit Amsterdam
2911:"Delayed-Choice Experiments"
1452:. This raises problems with
981:in the local inertial frame.
846:quantum non-local connection
117:is that they do not exist.
84:special theory of relativity
6641:Space stations and habitats
4975:European Journal of Physics
1874:American Journal of Physics
1279:FTL neutrino flight results
658:and can be explained as an
244:, is about four and a half
7224:
5234:10.1109/JPROC.2010.2052910
5120:10.1088/0264-9381/11/5/001
4996:10.1088/0143-0807/23/1/310
4609:Of Particular Significance
4348:10.1103/PhysRevD.76.072005
3817:10.1103/PhysRevD.69.105009
3764:10.1103/PhysRevD.58.116002
3634:10.1088/0264-9381/11/5/001
3578:10.1140/epjp/i2017-11402-4
3449:10.1142/9789814287333_0006
2930:Motl, L. (November 2010).
2686:Journal of Applied Physics
2596:Cambridge University Press
2318:10.1103/PhysRevD.65.047301
2057:10.1109/JPROC.2010.2052910
1706:Information Leaflet No. 55
1483:
1364:
1313:
1287:
1255:mode whereas relativistic
1215:
1168:
1165:Lorentz symmetry violation
881:Superluminal communication
878:
875:Superluminal communication
855:
788:
765:
743:
528:of a wave may also exceed
170:, a constant equal to the
159:
29:
7130:
7087:Museum of Science Fiction
7032:Christian science fiction
6996:Self-replicating machines
5955:
5715:
5557:greatest on another world
5552:greatest of a spaceflight
5017:Physics of the Impossible
4835:10.1142/S0217732392000422
3896:Reviews of Modern Physics
3226:10.1134/S1054660X07050155
2559:Steinberg, A. M. (1994).
1969:Optics and Photonics News
1850:Physikalische Zeitschrift
1413:to include concepts like
1267:one – they can reach the
1073:doubly special relativity
889:. What we measure as the
630:Astronomical observations
577:expansion of the universe
311:velocity-addition formula
221:or creates problems with
7173:Faster-than-light travel
4814:Modern Physics Letters A
4605:"OPERA: What Went Wrong"
4142:10.5506/APhysPolB.42.261
3926:10.1103/RevModPhys.83.11
3711:10.1103/PhysRevD.55.6760
2876:10.1103/PhysRevLett.84.1
2594:(Illustrated ed.).
2534:(Illustrated ed.).
1990:10.1364/OPN.20.12.000042
1259:can be described by the
1247:. It was shown that the
1218:Superfluid vacuum theory
1206:Standard-Model Extension
1182:Standard-Model Extension
1175:Standard-Model Extension
1081:Giovanni Amelino-Camelia
1075:, which posits that the
915:Poincaré transformations
838:No-communication theorem
815:in 1981 and 1982 in the
684:no-communication theorem
18:Faster than light travel
6965:Artificial intelligence
6863:Simulated consciousness
5221:Proceedings of the IEEE
5158:Physical Review Letters
4950:www.sf-encyclopedia.com
4493:Adam, T.; et al. (
4421:Adam, T.; et al. (
4112:Acta Physica Polonica B
3976:10.1103/PhysRevD.39.683
3277:10.1126/science.1163439
2845:Physical Review Letters
2479:Physical Review Letters
2436:Lectures on QED and QCD
2044:Proceedings of the IEEE
1841:Sommerfeld, A. (1907).
1789:Oxford University Press
1587:Variable speed of light
1490:FTL travel is a common
1448:could also be used for
1226:is viewed as a quantum
1111:Although the theory of
1025:. This is known as the
650:, and recently also in
517:Group velocities above
474:Phase velocities above
266:Light spots and shadows
201:(but still slower than
7188:Science fiction themes
7117:Technology and society
5985:Science Fiction Museum
5137:Progress in Geophysics
3408:10.1098/rspa.2003.1222
3373:10.1117/2.1200711.0927
3169:10.1006/aphy.2002.6233
2011:Brillouin, L. (1960).
1750:Salmon, W. C. (2006).
1544:Science fiction portal
1468:have argued that in a
1310:OPERA neutrino anomaly
897:. This means that all
868:double slit experiment
540:with a velocity above
509:with a velocity above
451:
42:
7183:Fiction about physics
6716:Organ transplantation
5975:Libraries and museums
5896:Cyberpunk derivatives
5850:Utopian and dystopian
5533:Deepest ocean vehicle
2951:Einstein, A. (1927).
1253:collective excitation
707:uncertainty principle
688:Wavefunction collapse
674:Certain phenomena in
452:
138:traversable wormholes
40:
7193:Theory of relativity
7067:Fictional technology
7062:Fictional astronauts
6919:Frankenstein complex
5562:greatest of a person
5073:. pp. 509–529.
5024:. pp. 197–215.
4633:science fiction fans
4545:ICARUS Collaboration
2992:Gott, J. R. (2002).
1572:Intergalactic travel
1464:, Eric G. Gimon and
1441:or negative energy.
1409:was developed after
1385:elementary particles
1346:ICARUS collaboration
1269:speed of light limit
1257:elementary particles
1243:is described by the
1138:traversable wormhole
1107:Spacetime distortion
1006:unit of length (the
774:Casimir–Polder force
690:can be viewed as an
680:quantum entanglement
638:is observed in many
487:electromagnetic wave
359:
296:particle accelerator
211:phase velocity below
115:scientific consensus
30:For other uses, see
7178:Interstellar travel
7107:Speculative fiction
6701:Genetic engineering
5590:Spaceflight records
5491:furthest spacecraft
5453:Water-borne vehicle
5394:propulsively-driven
5180:2012PhRvL.108q3902G
5149:2006PrGeo..21...38Y
5112:1994CQGra..11L..73A
4988:2002EJPh...23...69F
4903:1990PhLB..244...95H
4872:2002hep.ph....8239C
4827:1992MPLA....7..467C
4768:1994PhLB..336..295C
4713:1985PhLB..150..431C
4676:2000PhLB..492..178G
4571:2012PhLB..713...17A
4495:OPERA Collaboration
4423:OPERA Collaboration
4340:2007PhRvD..76g2005A
4286:2011PhLA..375.2305Z
4241:2010AIPC.1206..112Z
4187:2011JPhB...44s5303A
4134:2011AcPPB..42..261Z
3968:1989PhRvD..39..683K
3918:2011RvMP...83...11K
3862:2009NuPhS.190..191G
3809:2004PhRvD..69j5009K
3756:1998PhRvD..58k6002C
3703:1997PhRvD..55.6760C
3616:1994CQGra..11L..73A
3569:2017EPJP..132..140C
3504:2002Natur.418...34A
3400:2004RSPSA.460..499S
3327:2006PhR...436....1W
3269:2008Sci...322.1525E
3263:(5907): 1525–1529.
3218:2007LaPhy..17..695F
3161:2002AnPhy.298..167L
3088:Scientific American
3021:Petkov, V. (2009).
2972:NASA Astronomy Café
2937:The Reference Frame
2916:Scientific American
2868:2000PhRvL..84....1K
2813:10.1038/nature07121
2805:2008Natur.454..861S
2736:2006PhR...436....1W
2699:1962JAP....33.3427H
2662:2006PhLA..351...31M
2575:1994PhDT.......314S
2492:2011PhRvL.106x3602Z
2432:Grozin, A. (2007).
2403:1977Natur.267..211B
2355:1966Natur.211..468R
2310:2002PhRvD..65d7301L
2255:2004PASA...21...97D
2201:Scientific American
2101:1996ApPhB..63..481H
1982:2009OptPN..20...42M
1929:2000Natur.406..277W
1886:1954AmJPh..22..618W
1781:Steane, A. (2012).
1351:confidence interval
1330:Geneva, Switzerland
1322:OPERA Collaboration
1261:particle-like modes
1239:whose ground-state
1237:quantum Bose liquid
1101:observable universe
944:space-like interval
844:, the speed of the
828:one subscribes to.
636:superluminal motion
555:in some parts of a
313:for computing such
307:Galilean relativity
207:Cherenkov radiation
162:Superluminal motion
6934:Message from space
6899:Ancient astronauts
6787:Parallel universes
6762:Extrasolar planets
6669:Biological warfare
5791:Parallel universes
5673:Scientific romance
5511:closest to the Sun
5334:Extremes of motion
5272:2010-01-23 at the
4469:The New York Times
4378:The New York Times
4064:The New York Times
3000:. pp. 82–83.
2528:Kåhre, J. (2012).
2204:. pp. 36–45.
2109:10.1007/BF01828944
1868:Weber, J. (1954).
1812:Hecht, E. (1987).
1724:Gibbs, P. (1997).
1632:. 20 October 2020.
1411:special relativity
1407:General relativity
1402:General relativity
1134:several objections
1122:recession velocity
1117:general relativity
1113:special relativity
1097:special relativity
1069:special relativity
1027:Scharnhorst effect
996:Special relativity
952:Lorentz invariance
797:thought experiment
726:quantum tunnelling
664:special relativity
593:general relativity
447:
303:Special relativity
219:special relativity
43:
7198:Warp drive theory
7160:
7159:
7052:Alternate history
7040:
7039:
7001:Simulated reality
6731:Sex and sexuality
6684:Extraterrestrials
6603:
6602:
6430:
6429:
6426:
6425:
6167:Campbell Memorial
5944:
5943:
5813:Planetary romance
5603:
5602:
5413:production model
5228:(10): 1775–1786.
5080:978-1-56347-956-4
5057:978-3-527-40735-4
5031:978-0-7139-9992-1
4891:Physics Letters B
4746:Physics Letters B
4701:Physics Letters B
4654:Physics Letters B
4549:Physics Letters B
4318:Physical Review D
4270:(24): 2305–2308.
4264:Physics Letters A
4249:10.1063/1.3292518
3956:Physical Review D
3787:Physical Review D
3734:Physical Review D
3687:(11): 6760–6774.
3681:Physical Review D
3458:978-981-4287-32-6
3394:(2042): 499–506.
3138:Annals of Physics
2909:(16 April 2017).
2789:(7206): 861–864.
2707:10.1063/1.1702424
2693:(12): 3427–3433.
2649:Physics Letters A
2632:978-3-540-34523-7
2605:978-1-107-03339-9
2545:978-1-4615-0975-2
2455:978-981-256-914-1
2397:(5608): 211–216.
2349:(5048): 468–470.
2287:Physical Review D
2173:Ask an Astronomer
2088:Applied Physics B
2051:(10): 1775–1786.
1923:(6793): 277–279.
1894:10.1119/1.1933858
1827:978-0-201-11609-0
1798:978-0-19-969461-7
1767:978-0-8229-5926-7
1630:"Quanta Magazine"
1472:five-dimensional
1355:fiber-optic cable
1150:Baylor University
1126:Miguel Alcubierre
817:Aspect experiment
676:quantum mechanics
670:Quantum mechanics
613:However, because
589:cosmological time
439:
406:
369:
315:relative velocity
142:quantum tunneling
122:slower-than-light
46:Faster-than-light
16:(Redirected from
7215:
7149:
7139:
7138:
6977:Astroengineering
6909:Evil corporation
6636:Matrioshka brain
6614:
6553:List of TV shows
6439:
6119:
5953:
5823:Sword and planet
5713:
5630:
5623:
5616:
5607:
5526:highest altitude
5382:transcontinental
5377:propeller-driven
5328:
5321:
5314:
5305:
5245:
5217:
5207:
5173:
5152:
5131:
5105:
5084:
5061:
5035:
5007:
4960:
4959:
4957:
4956:
4942:
4936:
4935:
4933:
4921:
4915:
4914:
4882:
4876:
4875:
4865:
4845:
4839:
4838:
4808:
4802:
4801:
4795:
4787:
4761:
4752:(3–4): 295–302.
4741:
4735:
4734:
4732:
4696:
4690:
4689:
4687:
4669:
4660:(1–2): 178–186.
4642:
4636:
4625:
4619:
4618:
4616:
4615:
4597:
4591:
4590:
4564:
4540:
4534:
4533:
4531:
4530:
4515:
4509:
4508:
4506:
4490:
4484:
4483:
4481:
4480:
4466:
4458:
4452:
4443:
4437:
4436:
4434:
4418:
4412:
4411:
4409:
4407:
4396:
4390:
4389:
4374:
4366:
4360:
4359:
4333:
4312:
4306:
4305:
4279:
4259:
4253:
4252:
4234:
4213:
4207:
4206:
4180:
4160:
4154:
4153:
4127:
4107:
4101:
4100:
4088:
4082:
4081:
4079:
4078:
4055:
4049:
4048:
4036:
4030:
4029:
4027:
4026:
4011:
4005:
4004:
4002:
3987:
3953:
3944:
3938:
3937:
3911:
3891:
3882:
3881:
3855:
3835:
3829:
3828:
3802:
3782:
3776:
3775:
3749:
3729:
3723:
3722:
3696:
3676:
3670:
3669:
3667:
3666:
3660:www.newswise.com
3652:
3646:
3645:
3627:
3609:
3589:
3583:
3582:
3580:
3562:
3538:
3532:
3531:
3497:
3477:
3471:
3470:
3442:
3426:
3420:
3419:
3383:
3377:
3376:
3359:
3353:
3352:
3350:
3349:
3343:
3337:. Archived from
3312:
3303:
3297:
3296:
3252:
3246:
3245:
3211:
3187:
3181:
3180:
3154:
3132:
3126:
3125:
3123:
3122:
3105:
3099:
3098:
3096:
3095:
3080:
3074:
3073:
3049:
3043:
3042:
3018:
3012:
3011:
2989:
2983:
2982:
2980:
2978:
2963:
2957:
2956:
2948:
2942:
2941:
2927:
2921:
2920:
2902:
2896:
2895:
2861:
2859:quant-ph/9903047
2839:
2833:
2832:
2798:
2776:
2770:
2769:
2767:
2766:
2754:
2748:
2747:
2717:
2711:
2710:
2680:
2674:
2673:
2643:
2637:
2636:
2616:
2610:
2609:
2585:
2579:
2578:
2556:
2550:
2549:
2525:
2519:
2518:
2516:
2475:
2466:
2460:
2459:
2442:World Scientific
2439:
2429:
2423:
2422:
2411:10.1038/267211a0
2385:Blandford, R. D.
2381:
2375:
2374:
2363:10.1038/211468a0
2336:
2330:
2329:
2303:
2301:astro-ph/0107568
2281:
2275:
2274:
2248:
2246:astro-ph/0310808
2226:
2220:
2219:
2217:
2216:
2210:
2197:
2188:
2177:
2176:
2163:
2157:
2156:
2154:
2153:
2134:
2128:
2127:
2125:
2084:
2075:
2069:
2068:
2040:
2031:
2025:
2024:
2018:
2008:
2002:
2001:
1963:
1957:
1956:
1937:10.1038/35018520
1910:
1904:
1903:
1901:
1900:
1865:
1859:
1858:
1846:
1838:
1832:
1831:
1816:(2nd ed.).
1809:
1803:
1802:
1778:
1772:
1771:
1747:
1741:
1740:
1738:
1736:
1721:
1710:
1709:
1698:
1692:
1691:
1673:
1664:
1663:
1661:
1659:
1650:. Archived from
1640:
1634:
1633:
1626:
1620:
1619:
1608:
1560:
1558:Astronomy portal
1555:
1554:
1553:
1546:
1541:
1540:
1532:
1527:
1526:
1525:
1518:
1513:
1512:
1427:Alcubierre drive
1389:to quantize them
1343:
1341:
1284:MINOS experiment
1232:Lorentz symmetry
1089:Mach's principle
772:In physics, the
715:Feynman diagrams
660:optical illusion
608:Hubble parameter
587:per interval of
567:Cosmic expansion
456:
454:
453:
448:
440:
438:
437:
436:
420:
412:
407:
405:
404:
403:
387:
376:
371:
370:
367:
332: >
238:Proxima Centauri
232:Daily sky motion
195:refractive index
130:Alcubierre drive
109:and would imply
81:
72:faster than the
21:
7223:
7222:
7218:
7217:
7216:
7214:
7213:
7212:
7163:
7162:
7161:
7156:
7155:
7126:
7102:Sense of wonder
7036:
7020:
6953:
6949:Xenoarchaeology
6924:Galactic empire
6879:Africanfuturism
6867:
6836:
6740:
6655:
6599:
6539:
6518:
6482:
6422:
6381:
6144:
6138:
6110:
6004:
5940:
5890:
5867:Techno-thriller
5835:Climate fiction
5803:Science fantasy
5757:Anime and manga
5704:
5663:Anthropological
5639:
5637:Science fiction
5634:
5604:
5599:
5578:
5537:
5521:furthest flight
5501:furthest humans
5476:
5439:by acceleration
5430:production car
5422:by acceleration
5335:
5332:
5274:Wayback Machine
5252:
5215:
5210:
5155:
5134:
5087:
5081:
5064:
5058:
5044:Zero Time Space
5038:
5032:
5010:
4971:
4968:
4966:Further reading
4963:
4954:
4952:
4944:
4943:
4939:
4923:
4922:
4918:
4884:
4883:
4879:
4847:
4846:
4842:
4810:
4809:
4805:
4788:
4743:
4742:
4738:
4698:
4697:
4693:
4644:
4643:
4639:
4627:Randall, Lisa;
4626:
4622:
4613:
4611:
4599:
4598:
4594:
4542:
4541:
4537:
4528:
4526:
4517:
4516:
4512:
4492:
4491:
4487:
4478:
4476:
4460:
4459:
4455:
4444:
4440:
4420:
4419:
4415:
4405:
4403:
4398:
4397:
4393:
4368:
4367:
4363:
4314:
4313:
4309:
4261:
4260:
4256:
4215:
4214:
4210:
4162:
4161:
4157:
4109:
4108:
4104:
4090:
4089:
4085:
4076:
4074:
4057:
4056:
4052:
4038:
4037:
4033:
4024:
4022:
4013:
4012:
4008:
4000:
3951:
3946:
3945:
3941:
3893:
3892:
3885:
3837:
3836:
3832:
3784:
3783:
3779:
3731:
3730:
3726:
3678:
3677:
3673:
3664:
3662:
3654:
3653:
3649:
3625:10.1.1.338.8690
3591:
3590:
3586:
3540:
3539:
3535:
3512:10.1038/418034a
3488:(6893): 34–35.
3479:
3478:
3474:
3459:
3428:
3427:
3423:
3385:
3384:
3380:
3362:
3360:
3356:
3347:
3345:
3341:
3315:Physics Reports
3310:
3305:
3304:
3300:
3254:
3253:
3249:
3189:
3188:
3184:
3134:
3133:
3129:
3120:
3118:
3107:
3106:
3102:
3093:
3091:
3082:
3081:
3077:
3070:
3051:
3050:
3046:
3039:
3031:. p. 219.
3020:
3019:
3015:
3008:
2991:
2990:
2986:
2976:
2974:
2965:
2964:
2960:
2950:
2949:
2945:
2929:
2928:
2924:
2904:
2903:
2899:
2841:
2840:
2836:
2778:
2777:
2773:
2764:
2762:
2756:
2755:
2751:
2723:Physics Reports
2719:
2718:
2714:
2682:
2681:
2677:
2645:
2644:
2640:
2633:
2618:
2617:
2613:
2606:
2587:
2586:
2582:
2569:. p. 100.
2558:
2557:
2553:
2546:
2538:. p. 425.
2527:
2526:
2522:
2514:
2473:
2468:
2467:
2463:
2456:
2431:
2430:
2426:
2383:
2382:
2378:
2338:
2337:
2333:
2283:
2282:
2278:
2263:10.1071/AS03040
2228:
2227:
2223:
2214:
2212:
2208:
2195:
2190:
2189:
2180:
2166:
2164:
2160:
2151:
2149:
2136:
2135:
2131:
2123:
2082:
2077:
2076:
2072:
2038:
2033:
2032:
2028:
2010:
2009:
2005:
1965:
1964:
1960:
1912:
1911:
1907:
1898:
1896:
1867:
1866:
1862:
1840:
1839:
1835:
1828:
1811:
1810:
1806:
1799:
1791:. p. 180.
1780:
1779:
1775:
1768:
1760:. p. 107.
1749:
1748:
1744:
1734:
1732:
1723:
1722:
1713:
1700:
1699:
1695:
1688:
1675:
1674:
1667:
1657:
1655:
1654:on May 27, 2020
1642:
1641:
1637:
1628:
1627:
1623:
1618:. 22 July 2020.
1610:
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1601:
1596:
1556:
1551:
1549:
1542:
1535:
1528:
1523:
1521:
1514:
1507:
1504:
1496:science fiction
1488:
1482:
1404:
1369:
1363:
1339:
1337:
1318:
1312:
1292:
1286:
1281:
1220:
1214:
1177:
1169:Main articles:
1167:
1109:
1065:
1035:preferred frame
1000:inertial frames
993:
988:
883:
877:
860:
854:
801:Albert Einstein
793:
787:
770:
764:
748:
742:
672:
632:
585:proper distance
569:
522:
479:
468:proper velocity
463:
428:
421:
413:
395:
388:
377:
362:
357:
356:
288:
268:
234:
164:
158:
134:Krasnikov tubes
77:
35:
28:
23:
22:
15:
12:
11:
5:
7221:
7219:
7211:
7210:
7205:
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7143:
7132:
7131:
7128:
7127:
7125:
7124:
7119:
7114:
7109:
7104:
7099:
7094:
7092:Rubber science
7089:
7084:
7079:
7074:
7072:Future history
7069:
7064:
7059:
7054:
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7046:
7042:
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6921:
6916:
6911:
6906:
6901:
6896:
6894:Alien language
6891:
6889:Alien invasion
6886:
6881:
6875:
6873:
6869:
6868:
6866:
6865:
6860:
6855:
6853:Mind uploading
6850:
6844:
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6809:
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6711:Nanotechnology
6708:
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6691:
6681:
6676:
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6646:Stellar engine
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6143:Literary, art,
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5316:
5308:
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5296:
5291:
5286:
5281:
5276:
5264:
5258:
5251:
5250:External links
5248:
5247:
5246:
5208:
5164:(17): 173902.
5153:
5132:
5096:(5): L73–L77.
5085:
5079:
5062:
5056:
5036:
5030:
5008:
4967:
4964:
4962:
4961:
4937:
4931:hep-th/0405019
4916:
4877:
4863:hep-ph/0208239
4840:
4821:(6): 467–476.
4803:
4759:hep-ph/9409404
4736:
4707:(6): 431–435.
4691:
4667:hep-th/0008206
4646:Gates, S.James
4637:
4620:
4603:(2012-04-02).
4592:
4535:
4510:
4485:
4453:
4438:
4413:
4391:
4361:
4307:
4254:
4208:
4171:(19): 195303.
4155:
4118:(2): 261–292.
4102:
4083:
4050:
4031:
4006:
3962:(2): 683–685.
3939:
3883:
3830:
3800:hep-th/0312310
3793:(10): 105009.
3777:
3747:hep-ph/9809521
3740:(11): 116002.
3724:
3694:hep-ph/9703464
3671:
3647:
3600:(5): L73–L77.
3584:
3533:
3472:
3457:
3421:
3378:
3354:
3298:
3247:
3202:(5): 695–699.
3182:
3145:(1): 167–185.
3127:
3100:
3075:
3069:978-0750304054
3068:
3062:. p. 94.
3044:
3038:978-3642019623
3037:
3013:
3007:978-0618257355
3006:
2984:
2958:
2943:
2922:
2897:
2834:
2771:
2749:
2712:
2675:
2656:(1–2): 31–36.
2638:
2631:
2611:
2604:
2598:. p. 61.
2580:
2551:
2544:
2520:
2486:(24): 243602.
2461:
2454:
2424:
2376:
2331:
2276:
2221:
2178:
2158:
2129:
2095:(5): 481–484.
2070:
2026:
2021:Academic Press
2003:
1958:
1905:
1860:
1857:(23): 841–842.
1833:
1826:
1820:. p. 62.
1818:Addison Wesley
1804:
1797:
1773:
1766:
1742:
1711:
1693:
1687:978-0435628925
1686:
1665:
1635:
1621:
1602:
1600:
1597:
1595:
1594:
1589:
1584:
1579:
1577:Krasnikov tube
1574:
1569:
1563:
1562:
1561:
1547:
1533:
1519:
1516:Physics portal
1503:
1500:
1481:
1478:
1474:Gödel universe
1470:supersymmetric
1403:
1400:
1382:
1378:
1374:
1365:Main article:
1362:
1359:
1314:Main article:
1311:
1308:
1288:Main article:
1285:
1282:
1280:
1277:
1273:imaginary mass
1216:Main article:
1213:
1210:
1204:out using the
1166:
1163:
1108:
1105:
1064:
1061:
1031:Casimir vacuum
1012:speed of light
992:
989:
987:
986:Justifications
984:
983:
982:
963:inertial frame
955:
940:
937:
926:
891:speed of light
879:Main article:
876:
873:
856:Main article:
853:
850:
805:Boris Podolsky
789:Main article:
786:
783:
768:Casimir effect
766:Main article:
763:
762:Casimir effect
760:
746:Hartman effect
744:Main article:
741:
740:Hartman effect
738:
734:group velocity
730:phase velocity
671:
668:
640:radio galaxies
631:
628:
568:
565:
526:group velocity
521:
515:
483:phase velocity
478:
472:
462:
459:
458:
457:
446:
443:
435:
431:
427:
424:
419:
416:
410:
402:
398:
394:
391:
386:
383:
380:
374:
365:
287:
286:Closing speeds
284:
267:
264:
233:
230:
215:
214:
205:), leading to
183:
172:speed of light
160:Main article:
157:
154:
74:speed of light
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
7220:
7209:
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7108:
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7100:
7098:
7095:
7093:
7090:
7088:
7085:
7083:
7082:Magic realism
7080:
7078:
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7068:
7065:
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7053:
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6992:
6988:
6985:
6983:
6980:
6978:
6975:
6971:
6968:
6967:
6966:
6963:
6962:
6960:
6958:Technological
6956:
6950:
6947:
6945:
6942:
6940:
6939:Transhumanism
6937:
6935:
6932:
6930:
6927:
6925:
6922:
6920:
6917:
6915:
6914:First contact
6912:
6910:
6907:
6905:
6902:
6900:
6897:
6895:
6892:
6890:
6887:
6885:
6882:
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6874:
6870:
6864:
6861:
6859:
6856:
6854:
6851:
6849:
6846:
6845:
6843:
6841:Psychological
6839:
6833:
6830:
6828:
6825:
6822:
6818:
6815:
6813:
6812:Teleportation
6810:
6808:
6805:
6803:
6800:
6798:
6795:
6793:
6792:Portable hole
6790:
6788:
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6666:
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6642:
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6629:
6627:
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6623:
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6618:Architectural
6615:
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6514:Short stories
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6338:
6337:Tähtivaeltaja
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5809:
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5801:
5797:
5794:
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5792:
5789:
5785:
5784:Space Western
5782:
5780:
5777:
5775:
5772:
5771:
5770:
5769:Space warfare
5767:
5765:
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5758:
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5509:
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5499:
5497:
5494:
5492:
5489:
5488:
5486:
5485:
5483:
5479:
5469:
5468:transatlantic
5466:
5464:
5461:
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5455:
5454:
5451:
5447:
5444:
5440:
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5407:
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5370:
5368:
5365:
5364:
5363:
5360:
5356:
5353:
5351:
5348:
5347:
5345:
5344:
5342:
5338:
5329:
5324:
5322:
5317:
5315:
5310:
5309:
5306:
5300:
5297:
5295:
5292:
5290:
5287:
5285:
5282:
5280:
5277:
5275:
5271:
5268:
5265:
5262:
5259:
5257:
5254:
5253:
5249:
5243:
5239:
5235:
5231:
5227:
5223:
5222:
5214:
5209:
5205:
5201:
5197:
5193:
5189:
5185:
5181:
5177:
5172:
5167:
5163:
5159:
5154:
5150:
5146:
5142:
5138:
5133:
5129:
5125:
5121:
5117:
5113:
5109:
5104:
5103:gr-qc/0009013
5099:
5095:
5091:
5086:
5082:
5076:
5072:
5068:
5063:
5059:
5053:
5049:
5045:
5041:
5040:Nimtz, Günter
5037:
5033:
5027:
5023:
5019:
5018:
5013:
5009:
5005:
5001:
4997:
4993:
4989:
4985:
4981:
4977:
4976:
4970:
4969:
4965:
4951:
4947:
4941:
4938:
4932:
4927:
4920:
4917:
4912:
4908:
4904:
4900:
4897:(1): 95–100.
4896:
4892:
4888:
4881:
4878:
4873:
4869:
4864:
4859:
4855:
4851:
4844:
4841:
4836:
4832:
4828:
4824:
4820:
4816:
4815:
4807:
4804:
4799:
4793:
4785:
4781:
4777:
4773:
4769:
4765:
4760:
4755:
4751:
4747:
4740:
4737:
4731:
4726:
4722:
4718:
4714:
4710:
4706:
4702:
4695:
4692:
4686:
4681:
4677:
4673:
4668:
4663:
4659:
4655:
4651:
4647:
4641:
4638:
4634:
4630:
4624:
4621:
4610:
4606:
4602:
4601:Strassler, M.
4596:
4593:
4588:
4584:
4580:
4576:
4572:
4568:
4563:
4558:
4554:
4550:
4546:
4539:
4536:
4524:
4520:
4514:
4511:
4505:
4500:
4496:
4489:
4486:
4474:
4470:
4465:
4457:
4454:
4450:
4449:
4445:Cho, Adrian;
4442:
4439:
4433:
4428:
4424:
4417:
4414:
4401:
4395:
4392:
4388:
4384:
4380:
4379:
4373:
4365:
4362:
4357:
4353:
4349:
4345:
4341:
4337:
4332:
4327:
4324:(7): 072005.
4323:
4319:
4311:
4308:
4303:
4299:
4295:
4291:
4287:
4283:
4278:
4273:
4269:
4265:
4258:
4255:
4250:
4246:
4242:
4238:
4233:
4228:
4224:
4220:
4212:
4209:
4204:
4200:
4196:
4192:
4188:
4184:
4179:
4174:
4170:
4166:
4159:
4156:
4151:
4147:
4143:
4139:
4135:
4131:
4126:
4121:
4117:
4113:
4106:
4103:
4098:
4094:
4087:
4084:
4073:
4069:
4065:
4061:
4054:
4051:
4046:
4042:
4035:
4032:
4021:on 2004-04-05
4020:
4016:
4010:
4007:
3999:
3995:
3991:
3986:
3981:
3977:
3973:
3969:
3965:
3961:
3957:
3950:
3943:
3940:
3935:
3931:
3927:
3923:
3919:
3915:
3910:
3905:
3901:
3897:
3890:
3888:
3884:
3879:
3875:
3871:
3867:
3863:
3859:
3854:
3849:
3845:
3841:
3834:
3831:
3826:
3822:
3818:
3814:
3810:
3806:
3801:
3796:
3792:
3788:
3781:
3778:
3773:
3769:
3765:
3761:
3757:
3753:
3748:
3743:
3739:
3735:
3728:
3725:
3720:
3716:
3712:
3708:
3704:
3700:
3695:
3690:
3686:
3682:
3675:
3672:
3661:
3657:
3651:
3648:
3643:
3639:
3635:
3631:
3626:
3621:
3617:
3613:
3608:
3607:gr-qc/0009013
3603:
3599:
3595:
3588:
3585:
3579:
3574:
3570:
3566:
3561:
3556:
3552:
3548:
3544:
3537:
3534:
3529:
3525:
3521:
3517:
3513:
3509:
3505:
3501:
3496:
3495:gr-qc/0207049
3491:
3487:
3483:
3476:
3473:
3468:
3464:
3460:
3454:
3450:
3446:
3441:
3436:
3432:
3425:
3422:
3417:
3413:
3409:
3405:
3401:
3397:
3393:
3389:
3382:
3379:
3374:
3370:
3366:
3365:SPIE Newsroom
3358:
3355:
3344:on 2011-12-18
3340:
3336:
3332:
3328:
3324:
3321:(1–2): 1–69.
3320:
3316:
3309:
3302:
3299:
3294:
3290:
3286:
3282:
3278:
3274:
3270:
3266:
3262:
3258:
3251:
3248:
3243:
3239:
3235:
3231:
3227:
3223:
3219:
3215:
3210:
3205:
3201:
3197:
3196:Laser Physics
3193:
3186:
3183:
3178:
3174:
3170:
3166:
3162:
3158:
3153:
3152:gr-qc/0107091
3148:
3144:
3140:
3139:
3131:
3128:
3117:
3116:
3111:
3104:
3101:
3089:
3085:
3079:
3076:
3071:
3065:
3061:
3057:
3056:
3048:
3045:
3040:
3034:
3030:
3026:
3025:
3017:
3014:
3009:
3003:
2999:
2998:Mariner Books
2995:
2988:
2985:
2973:
2969:
2966:Odenwald, S.
2962:
2959:
2954:
2947:
2944:
2939:
2938:
2933:
2926:
2923:
2918:
2917:
2912:
2908:
2905:Hillmer, R.;
2901:
2898:
2893:
2889:
2885:
2881:
2877:
2873:
2869:
2865:
2860:
2855:
2851:
2847:
2846:
2838:
2835:
2830:
2826:
2822:
2818:
2814:
2810:
2806:
2802:
2797:
2792:
2788:
2784:
2783:
2775:
2772:
2760:
2753:
2750:
2745:
2741:
2737:
2733:
2730:(1–2): 1–69.
2729:
2725:
2724:
2716:
2713:
2708:
2704:
2700:
2696:
2692:
2688:
2687:
2679:
2676:
2671:
2667:
2663:
2659:
2655:
2651:
2650:
2642:
2639:
2634:
2628:
2624:
2623:
2615:
2612:
2607:
2601:
2597:
2593:
2592:
2584:
2581:
2576:
2572:
2568:
2564:
2563:
2555:
2552:
2547:
2541:
2537:
2533:
2532:
2524:
2521:
2513:
2509:
2505:
2501:
2497:
2493:
2489:
2485:
2481:
2480:
2472:
2465:
2462:
2457:
2451:
2447:
2443:
2438:
2437:
2428:
2425:
2420:
2416:
2412:
2408:
2404:
2400:
2396:
2392:
2391:
2386:
2380:
2377:
2372:
2368:
2364:
2360:
2356:
2352:
2348:
2344:
2343:
2335:
2332:
2327:
2323:
2319:
2315:
2311:
2307:
2302:
2297:
2294:(4): 047301.
2293:
2289:
2288:
2280:
2277:
2272:
2268:
2264:
2260:
2256:
2252:
2247:
2242:
2239:(1): 97–109.
2238:
2234:
2233:
2225:
2222:
2207:
2203:
2202:
2194:
2187:
2185:
2183:
2179:
2174:
2170:
2162:
2159:
2148:
2144:
2140:
2133:
2130:
2122:
2118:
2114:
2110:
2106:
2102:
2098:
2094:
2090:
2089:
2081:
2074:
2071:
2066:
2062:
2058:
2054:
2050:
2046:
2045:
2037:
2030:
2027:
2022:
2017:
2016:
2007:
2004:
1999:
1995:
1991:
1987:
1983:
1979:
1975:
1971:
1970:
1962:
1959:
1954:
1950:
1946:
1942:
1938:
1934:
1930:
1926:
1922:
1918:
1917:
1909:
1906:
1895:
1891:
1887:
1883:
1879:
1875:
1871:
1864:
1861:
1856:
1852:
1851:
1845:
1837:
1834:
1829:
1823:
1819:
1815:
1808:
1805:
1800:
1794:
1790:
1786:
1785:
1777:
1774:
1769:
1763:
1759:
1755:
1754:
1746:
1743:
1731:
1727:
1720:
1718:
1716:
1712:
1707:
1703:
1697:
1694:
1689:
1683:
1679:
1672:
1670:
1666:
1653:
1649:
1645:
1639:
1636:
1631:
1625:
1622:
1617:
1616:Physics World
1613:
1607:
1604:
1598:
1593:
1590:
1588:
1585:
1583:
1580:
1578:
1575:
1573:
1570:
1568:
1565:
1564:
1559:
1548:
1545:
1539:
1534:
1531:
1520:
1517:
1511:
1506:
1501:
1499:
1497:
1493:
1487:
1479:
1477:
1475:
1471:
1467:
1463:
1462:string theory
1459:
1455:
1451:
1447:
1442:
1440:
1439:exotic matter
1436:
1432:
1428:
1424:
1420:
1416:
1412:
1408:
1401:
1399:
1397:
1392:
1390:
1386:
1380:
1376:
1372:
1368:
1360:
1358:
1356:
1352:
1347:
1335:
1331:
1327:
1323:
1317:
1309:
1307:
1304:
1301:
1297:
1291:
1283:
1278:
1276:
1274:
1270:
1266:
1262:
1258:
1254:
1250:
1246:
1242:
1238:
1233:
1229:
1225:
1219:
1211:
1209:
1207:
1201:
1198:
1194:
1189:
1187:
1183:
1176:
1172:
1164:
1162:
1160:
1155:
1154:string theory
1151:
1146:
1143:
1139:
1135:
1131:
1127:
1123:
1118:
1114:
1106:
1104:
1102:
1098:
1094:
1090:
1086:
1085:João Magueijo
1082:
1078:
1077:Planck length
1074:
1070:
1062:
1060:
1057:
1052:
1047:
1045:
1040:
1036:
1032:
1028:
1024:
1020:
1019:vacuum energy
1015:
1013:
1009:
1005:
1001:
997:
990:
985:
980:
976:
972:
968:
964:
960:
956:
953:
949:
945:
941:
938:
935:
931:
927:
924:
920:
919:
918:
916:
912:
909:traveling at
908:
904:
900:
896:
892:
888:
882:
874:
872:
869:
865:
859:
851:
849:
847:
843:
839:
834:
833:Nicolas Gisin
829:
827:
822:
818:
814:
810:
806:
802:
798:
792:
784:
782:
779:
778:vacuum energy
775:
769:
761:
759:
757:
752:
747:
739:
737:
735:
731:
727:
722:
720:
716:
712:
708:
703:
701:
697:
693:
692:epiphenomenon
689:
685:
681:
677:
669:
667:
665:
661:
657:
653:
649:
645:
641:
637:
629:
627:
625:
620:
619:event horizon
616:
611:
609:
605:
600:
598:
594:
590:
586:
582:
578:
574:
571:According to
566:
564:
562:
558:
557:Gaussian beam
554:
551:
547:
543:
539:
535:
531:
527:
520:
516:
514:
512:
508:
504:
500:
499:monochromatic
496:
492:
488:
484:
477:
473:
471:
469:
461:Proper speeds
460:
444:
441:
433:
429:
425:
422:
417:
414:
408:
400:
396:
392:
389:
384:
381:
378:
372:
363:
355:
354:
353:
351:
347:
344: =
343:
339:
335:
331:
327:
323:
318:
316:
312:
308:
304:
300:
297:
292:
285:
283:
281:
277:
273:
265:
263:
261:
256:
252:
247:
243:
239:
231:
229:
226:
224:
220:
212:
208:
204:
200:
196:
192:
188:
184:
181:
177:
176:
175:
173:
169:
163:
155:
153:
151:
150:exotic matter
147:
143:
139:
135:
131:
127:
123:
118:
116:
112:
108:
104:
99:
97:
94:) may travel
93:
89:
85:
80:
75:
71:
67:
63:
62:communication
59:
55:
51:
47:
39:
33:
19:
7112:Supernatural
6884:Afrofuturism
6797:Space travel
6706:Invisibility
6674:Energy being
6651:Terraforming
6631:Dyson sphere
6626:Colonization
6558:Australasian
6451:Film history
6232:Grand Master
5434:by top speed
5417:by top speed
5399:wheel-driven
5389:Land vehicle
5225:
5219:
5161:
5157:
5140:
5136:
5093:
5089:
5066:
5043:
5016:
5012:Kaku, Michio
4982:(1): 69–81.
4979:
4973:
4953:. Retrieved
4949:
4940:
4919:
4894:
4890:
4880:
4853:
4849:
4843:
4818:
4812:
4806:
4792:cite journal
4749:
4745:
4739:
4704:
4700:
4694:
4657:
4653:
4640:
4628:
4623:
4612:. Retrieved
4608:
4595:
4555:(1): 17–22.
4552:
4548:
4538:
4527:. Retrieved
4525:. 2011-11-20
4522:
4513:
4488:
4477:. Retrieved
4468:
4456:
4447:
4441:
4416:
4404:. Retrieved
4394:
4386:
4376:
4364:
4321:
4317:
4310:
4267:
4263:
4257:
4222:
4218:
4211:
4168:
4164:
4158:
4115:
4111:
4105:
4096:
4092:
4086:
4075:. Retrieved
4063:
4053:
4045:CERN Courier
4044:
4034:
4023:. Retrieved
4019:the original
4009:
3959:
3955:
3942:
3902:(1): 11–31.
3899:
3895:
3843:
3839:
3833:
3790:
3786:
3780:
3737:
3733:
3727:
3684:
3680:
3674:
3663:. Retrieved
3659:
3650:
3597:
3593:
3587:
3550:
3546:
3536:
3485:
3481:
3475:
3430:
3424:
3391:
3387:
3381:
3364:
3357:
3346:. Retrieved
3339:the original
3318:
3314:
3301:
3260:
3256:
3250:
3199:
3195:
3191:
3185:
3142:
3136:
3130:
3119:. Retrieved
3113:
3103:
3092:. Retrieved
3090:. 1997-08-18
3087:
3078:
3054:
3047:
3023:
3016:
2993:
2987:
2975:. Retrieved
2971:
2961:
2952:
2946:
2935:
2925:
2914:
2900:
2849:
2843:
2837:
2786:
2780:
2774:
2763:. Retrieved
2752:
2727:
2721:
2715:
2690:
2684:
2678:
2653:
2647:
2641:
2621:
2614:
2590:
2583:
2561:
2554:
2530:
2523:
2483:
2477:
2464:
2435:
2427:
2394:
2388:
2379:
2346:
2340:
2334:
2291:
2285:
2279:
2236:
2230:
2224:
2213:. Retrieved
2199:
2172:
2161:
2150:. Retrieved
2142:
2132:
2092:
2086:
2073:
2048:
2042:
2029:
2014:
2006:
1973:
1967:
1961:
1920:
1914:
1908:
1897:. Retrieved
1877:
1873:
1863:
1854:
1848:
1836:
1813:
1807:
1783:
1776:
1752:
1745:
1733:. Retrieved
1729:
1705:
1696:
1677:
1656:. Retrieved
1652:the original
1647:
1638:
1624:
1615:
1606:
1530:Space portal
1489:
1443:
1405:
1393:
1370:
1319:
1294:In 2007 the
1293:
1265:relativistic
1241:wavefunction
1221:
1202:
1190:
1178:
1147:
1141:
1110:
1092:
1066:
1050:
1048:
1043:
1022:
1016:
994:
978:
974:
970:
966:
958:
933:
910:
894:
884:
861:
830:
813:Alain Aspect
809:Nathan Rosen
794:
771:
755:
753:
749:
723:
718:
710:
704:
699:
695:
673:
652:microquasars
633:
612:
601:
581:Hubble's law
573:Hubble's law
570:
552:
545:
541:
533:
529:
523:
518:
510:
502:
490:
480:
475:
464:
349:
345:
341:
337:
333:
329:
325:
321:
319:
301:
293:
289:
279:
275:
271:
269:
250:
242:Solar System
235:
227:
216:
202:
198:
190:
186:
179:
167:
165:
145:
125:
121:
119:
100:
95:
78:
53:
50:superluminal
49:
45:
44:
6970:AI takeover
6817:Time travel
6777:Inertialess
6767:Force field
6757:Black holes
6726:Prosthetics
6588:Live-action
6357:Translation
6352:Tour-Apollo
6227:Golden Duck
6129:Jules Verne
5995:Women in SF
5960:Conventions
5845:Libertarian
5808:Dying Earth
5779:Space opera
5747:Inner space
5658:Definitions
4856:: 129–133.
4504:1109.4897v2
4432:1109.4897v1
4225:: 288–297.
3846:: 191–197.
1492:plot device
1466:Petr Hořava
1450:time travel
1159:dark energy
948:time travel
887:time travel
791:EPR paradox
785:EPR paradox
656:Martin Rees
561:diffraction
246:light-years
111:time travel
70:information
54:supercausal
7167:Categories
7006:Spacecraft
6982:Holography
6848:Group mind
6827:Warp drive
6782:Multiverse
6772:Hyperspace
6661:Biological
6545:Television
6509:Publishers
6487:Literature
6386:Multimedia
6302:Prometheus
6237:Grand Prix
6152:Astounding
6016:Australian
5921:Dieselpunk
5886:Underwater
5685:Golden Age
5409:motorcycle
5367:Spacecraft
5022:Allen Lane
4955:2021-09-01
4730:2022/20737
4614:2023-08-24
4529:2023-08-24
4479:2011-11-18
4077:2023-08-24
4025:2011-09-26
3985:2022/18649
3665:2023-08-24
3560:1706.05252
3553:(3): 140.
3348:2010-06-08
3121:2009-05-27
3094:2009-05-27
2852:(1): 1–5.
2765:2017-06-07
2565:(Thesis).
2444:. p.
2215:2008-11-06
2152:2011-09-26
1976:(12): 42.
1899:2007-04-30
1880:(9): 618.
1582:Slow light
1484:See also:
1423:distortion
1228:superfluid
1130:warp drive
1056:attosecond
702:apparent.
678:, such as
597:coordinate
550:can exceed
126:subluminal
7025:Religious
6736:Symbiosis
6721:Parasites
6679:Evolution
6499:Magazines
6476:Tokusatsu
6257:Kitschies
6187:Deutscher
6145:and audio
6122:Cinematic
6076:Norwegian
6066:Hungarian
6026:Brazilian
5936:Steampunk
5931:Solarpunk
5904:Cyberpunk
5874:Tokusatsu
5857:Tech noir
5840:Christian
5818:Superhero
5709:Subgenres
5542:Endurance
5517:Aircraft
5463:submerged
5242:0018-9219
5171:1204.0810
5128:0264-9381
5048:Wiley-VCH
5004:250863474
4562:1203.3433
4331:0706.0437
4302:118152360
4277:1003.0657
4232:0906.4282
4203:119248001
4178:1108.0847
4150:118152708
4125:0912.4139
4072:0362-4331
3909:0801.0287
3853:0902.0994
3620:CiteSeerX
3467:118855372
3440:1003.3942
3416:122620657
3293:206515239
3234:1054-660X
3209:0706.0553
3060:CRC Press
2907:Kwiat, P.
2796:0808.3316
2759:"History"
1998:122056218
1735:20 August
1454:causality
1431:spacetime
1419:spacetime
1303:neutrinos
1093:preferred
930:rest mass
821:entangled
634:Apparent
442:≤
430:β
418:β
397:β
385:β
379:β
364:β
255:geostatic
223:causality
107:causality
88:rest mass
7208:Velocity
7203:Tachyons
7141:Category
7011:Tachyons
6858:Psionics
6832:Wormhole
6802:Stargate
6745:Physical
6578:Japanese
6573:European
6568:Canadian
6466:Japanese
6418:Spectrum
6398:Chandler
6332:Sunburst
6327:Sturgeon
6317:Sidewise
6307:Rhysling
6277:Nautilus
6247:Heinlein
6202:Endeavor
6157:Aurealis
6106:Yugoslav
6086:Romanian
6071:Japanese
6056:Estonian
6046:Croatian
6031:Canadian
6000:Worldcon
5970:Fanzines
5926:Nanopunk
5909:Japanese
5774:Military
5742:Grimdark
5737:Feminist
5700:Timeline
5695:New Wave
5583:See also
5574:Aircraft
5481:Distance
5404:on rails
5372:Aircraft
5270:Archived
5204:46458102
5196:22680868
5042:(2008).
4784:16496246
4587:55397067
4473:Archived
4383:Archived
4356:14358300
4099:: 1–507.
3998:Archived
3878:14848782
3825:55185765
3528:16844423
3520:12097897
3285:19056981
2884:11015820
2821:18704081
2512:Archived
2508:21770570
2371:41065207
2271:13068122
2206:Archived
2121:Archived
2117:54757568
2065:15100571
1945:10917523
1648:bipm.org
1502:See also
1435:wormhole
1396:neutrino
1361:Tachyons
1197:Big Bang
903:velocity
899:inertial
604:redshift
599:effect.
103:tachyons
7057:Fantasy
7045:Related
7016:Weapons
6991:Cyborgs
6752:Ansible
6563:British
6535:Theatre
6347:Tiptree
6322:Skylark
6267:Laßwitz
6252:Ignotus
6242:Harland
6217:Gaughan
6207:FantLab
6172:Chesley
6101:Spanish
6096:Serbian
6091:Russian
6041:Chinese
6036:Chilean
6021:Bengali
5990:Studies
5949:Culture
5916:Biopunk
5764:Mundane
5730:Sitcoms
5690:History
5653:Authors
5645:Outline
5458:sailing
5446:British
5362:Vehicle
5176:Bibcode
5145:Bibcode
5108:Bibcode
4984:Bibcode
4899:Bibcode
4868:Bibcode
4823:Bibcode
4764:Bibcode
4709:Bibcode
4672:Bibcode
4567:Bibcode
4523:Reuters
4406:June 8,
4336:Bibcode
4282:Bibcode
4237:Bibcode
4183:Bibcode
4130:Bibcode
3994:9959689
3964:Bibcode
3934:3236027
3914:Bibcode
3858:Bibcode
3805:Bibcode
3772:4013391
3752:Bibcode
3719:7651433
3699:Bibcode
3642:4797900
3612:Bibcode
3565:Bibcode
3500:Bibcode
3396:Bibcode
3323:Bibcode
3265:Bibcode
3257:Science
3214:Bibcode
3157:Bibcode
2977:7 April
2892:5099293
2864:Bibcode
2829:4401216
2801:Bibcode
2732:Bibcode
2695:Bibcode
2658:Bibcode
2571:Bibcode
2488:Bibcode
2419:4260167
2399:Bibcode
2351:Bibcode
2326:1791226
2306:Bibcode
2251:Bibcode
2097:Bibcode
1978:Bibcode
1953:4358601
1925:Bibcode
1882:Bibcode
1658:July 5,
1458:gravity
1425:is the
1415:gravity
1367:Tachyon
1332:to the
1142:locally
923:massive
907:photons
648:quasars
644:blazars
538:signals
507:signals
291:frame.
193:is the
189:(where
92:photons
90:(i.e.,
82:). The
7151:Portal
7077:Horror
6987:Robots
6944:Uplift
6872:Social
6821:Viewer
6696:Gender
6609:Themes
6504:Novels
6494:Comics
6461:Indian
6403:Dragon
6393:Aurora
6377:Zajdel
6362:Urania
6297:Parsec
6292:Norton
6282:Nebula
6262:Lambda
6222:Geffen
6212:Galaxy
6197:Ditmar
6177:Clarke
6134:Saturn
6115:Awards
6081:Polish
6061:French
6009:Region
5965:Fandom
5862:Spy-Fi
5830:Social
5796:Isekai
5725:Comedy
5548:Space
5487:Space
5240:
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3482:Nature
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1996:
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1814:Optics
1795:
1764:
1684:
1446:travel
1381:always
1224:vacuum
1051:et al.
961:in an
575:, the
485:of an
140:, and
113:. The
66:matter
58:travel
7122:Weird
6904:Black
6807:Stars
6583:Anime
6530:Opera
6523:Stage
6471:Anime
6456:Films
6435:Media
6413:Seiun
6367:Vogel
6312:SFERA
6287:Nommo
6272:Locus
6182:Crook
6051:Czech
5980:ISFDB
5879:Kaiju
5752:Mecha
5355:sound
5350:light
5346:Wave
5340:Speed
5216:(PDF)
5200:S2CID
5166:arXiv
5098:arXiv
5000:S2CID
4926:arXiv
4858:arXiv
4780:S2CID
4754:arXiv
4662:arXiv
4583:S2CID
4557:arXiv
4499:arXiv
4427:arXiv
4352:S2CID
4326:arXiv
4298:S2CID
4272:arXiv
4227:arXiv
4199:S2CID
4173:arXiv
4146:S2CID
4120:arXiv
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3689:arXiv
3638:S2CID
3602:arXiv
3555:arXiv
3524:S2CID
3490:arXiv
3463:S2CID
3435:arXiv
3412:S2CID
3342:(PDF)
3311:(PDF)
3289:S2CID
3242:61962
3238:S2CID
3204:arXiv
3177:48166
3173:S2CID
3147:arXiv
2888:S2CID
2854:arXiv
2825:S2CID
2791:arXiv
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2474:(PDF)
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2367:S2CID
2322:S2CID
2296:arXiv
2267:S2CID
2241:arXiv
2209:(PDF)
2196:(PDF)
2124:(PDF)
2113:S2CID
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1994:S2CID
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1290:MINOS
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6192:Dick
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5678:Soft
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5238:ISSN
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5052:ISBN
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4223:1206
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3453:ISBN
3281:PMID
3230:ISSN
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3033:ISBN
3002:ISBN
2979:2014
2880:PMID
2817:PMID
2627:ISBN
2600:ISBN
2540:ISBN
2504:PMID
2450:ISBN
2147:UCLA
1941:PMID
1822:ISBN
1793:ISBN
1762:ISBN
1737:2008
1682:ISBN
1660:2020
1353:: a
1338:2.48
1326:CERN
1173:and
1083:and
862:The
807:and
705:The
524:The
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6342:TBD
5230:doi
5184:doi
5162:108
5116:doi
4992:doi
4907:doi
4895:244
4831:doi
4772:doi
4750:336
4725:hdl
4717:doi
4705:150
4680:doi
4658:492
4575:doi
4553:713
4344:doi
4290:doi
4268:375
4245:doi
4191:doi
4138:doi
4097:117
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3551:132
3508:doi
3486:418
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