Superluminal motion
Encyclopedia
In astronomy
, superluminal motion is the apparently faster-than-light
motion seen in some
radio galaxies
, quasar
s and recently also in some galactic sources called microquasars. All of these sources are thought to contain a black hole
, responsible for the ejection of mass at high velocities.
When first observed in the early 1980s, superluminal motion was taken to be a piece of evidence against quasars having cosmological distances
. Although a few astrophysicists still argue in favor of this view, most believe that apparent velocities greater than the velocity of light are optical illusion
s and involve no physics incompatible with the theory of special relativity
.
This explanation depends on the jet making a sufficiently narrow angle with the observer's line-of-sight to explain the degree of superluminal motion seen in a particular case.
Superluminal motion is often seen in two opposing jets, one moving away and one toward Earth. If Doppler shifts are observed in both sources, the velocity and the distance can be determined independently of other observations.
In other words the jets are evidently not, on average, close to our line-of-sight. (Their apparent length would appear much shorter if they were.)
In 1993, Thomson et al. suggested that the (outer) jet of the quasar 3C 273 is nearly collinear to our line-of-sight. Superluminal motion of up to ~9.6c has been observed along the (inner) jet of this quasar.
Superluminal motion of up to 6c has been observed in the inner parts of the jet of M87
. To explain this in terms of the "narrow-angle" model, the jet must be no more than 19° from our line-of-sight. But evidence suggests that the jet is in fact at about 43° to our line-of-sight. The same group of scientists later revised that finding and argue in favour of a superluminal bulk movement in which the jet is embedded.
Suggestions of turbulence and/or "wide cones" in the inner parts of the jets have been put forward to try to counter such problems, and there seems to be some evidence for this.
was supposed to be a specific and precise test of the invariance of c and Special Relativity
. The first two papers were published in Dec. 2009. The results were apparently inconsistent with either SR or Lorentz invariance of c. They were consistent with GPS data when corrected to consistently account for the Sagnac effect
. Measured speed appeared superluminal, exceeding canonical value by 200ms (which was "the speed of the observatory along the line of sight due to rotation during measurement"). Article suggested that, if c were to remain invariant, a preferred frame would be required. In this case an observer in the preferred frame could measure the apparent superluminal motion of light travelling at c within another frame in relative motion, as the Discrete Field Model, and would suggest an alternative explanation for the gas jets of galaxy M87
(see below).
It was subsequently shown that these lunar ranging measurements have been misinterpreted, and the experiment, as analyzed, did not actually measure the speed of light in the moving reference frame. All measurements of c in the experiment were actually performed from a stationary frame only, which resulted in expected, correct values of c (within 8.3 ± 3.2 m/s as stated in the article). For that same set of data, the author then performed Galilean transformations, and erroneously got a different speed of light inside the moving frame. The author updated his paper.
coming out of the center of an AGN
is moving along AB with a velocity v. We are observing the jet from the point O. At time a light ray leaves the jet from point A and another ray leaves at time from point B. Observer at O receives the rays at time and respectively.
Apparent transverse velocity along CB,
If (i.e. when velocity of jet is close to the velocity of light) then despite the fact that . And of course means apparent transverse velocity along CB, the only velocity on sky that we can measure, is larger than the velocity of light in vacuum, i.e. the motion is apparently superluminal.
A few years later (in 1970) such sources were indeed discovered as very distant astronomical radio sources, such as radio galaxies and quasars. They were called superluminal (lit. "above light") sources. The discovery was a spectacular result of a new technique called Very Long Baseline Interferometry
, which allowed astronomers to determine positions better than milli-arcsecond
s and in particular to determine the change in positions on the sky, called proper motion
s in a timespan of typically years. The apparent velocity is obtained by multiplying the observed proper motion by the distance and could be up to 6 times the speed of light.
In 1994 a Galactic speed record was obtained with the discovery of a superluminal source in our own Galaxy, the cosmic x-ray source GRS 1915+105
. The expansion occurred on a much shorter timescale. Several separate blobs were seen (I.F. Mirabel and L.F. Rodriguez, Nature 371, 48, "A superluminal source in the Galaxy") to expand in pairs within weeks by typically 0.5 arcsec. Because of the analogy with quasars, this source was called a microquasar.
Astronomy
Astronomy is a natural science that deals with the study of celestial objects and phenomena that originate outside the atmosphere of Earth...
, superluminal motion is the apparently faster-than-light
Faster-than-light
Faster-than-light communications and travel refer to the propagation of information or matter faster than the speed of light....
motion seen in some
radio galaxies
Radio galaxy
Radio galaxies and their relatives, radio-loud quasars and blazars, are types of active galaxy that are very luminous at radio wavelengths, with luminosities up to 1039 W between 10 MHz and 100 GHz. The radio emission is due to the synchrotron process...
, quasar
Quasar
A quasi-stellar radio source is a very energetic and distant active galactic nucleus. Quasars are extremely luminous and were first identified as being high redshift sources of electromagnetic energy, including radio waves and visible light, that were point-like, similar to stars, rather than...
s and recently also in some galactic sources called microquasars. All of these sources are thought to contain a black hole
Black hole
A black hole is a region of spacetime from which nothing, not even light, can escape. The theory of general relativity predicts that a sufficiently compact mass will deform spacetime to form a black hole. Around a black hole there is a mathematically defined surface called an event horizon that...
, responsible for the ejection of mass at high velocities.
When first observed in the early 1980s, superluminal motion was taken to be a piece of evidence against quasars having cosmological distances
Cosmic distance ladder
The cosmic distance ladder is the succession of methods by which astronomers determine the distances to celestial objects. A real direct distance measurement of an astronomical object is possible only for those objects that are "close enough" to Earth...
. Although a few astrophysicists still argue in favor of this view, most believe that apparent velocities greater than the velocity of light are optical illusion
Optical illusion
An optical illusion is characterized by visually perceived images that differ from objective reality. The information gathered by the eye is processed in the brain to give a perception that does not tally with a physical measurement of the stimulus source...
s and involve no physics incompatible with the theory of special relativity
Special relativity
Special relativity is the physical theory of measurement in an inertial frame of reference proposed in 1905 by Albert Einstein in the paper "On the Electrodynamics of Moving Bodies".It generalizes Galileo's...
.
Explanation
This phenomenon is caused because the jets are travelling very near the speed of light and at a very small angle towards the observer. Because at every point of their path the high-velocity jets are emiting light, the light they emit does not approach the observer much more quickly than the jet itself. To be more clear, the jet is essentially "chasing" the light it emits. This causes the light emitted over hundreds of years of travel to not have hundreds of lightyears of distance between it, the light thus arrives at the observer over a much smaller time period (ten or twenty years) giving the illusion of faster than light travel.This explanation depends on the jet making a sufficiently narrow angle with the observer's line-of-sight to explain the degree of superluminal motion seen in a particular case.
Superluminal motion is often seen in two opposing jets, one moving away and one toward Earth. If Doppler shifts are observed in both sources, the velocity and the distance can be determined independently of other observations.
Some contrary evidence
As early as 1983, at the "superluminal workshop" held at Jodrell Bank, referring to the seven then-known superluminal jets,
Schilizzi ... presented maps of arc-second resolution [showing the large-scale outer jets] ... which ... have revealed outer double structure in all but one (3C 273) of the known superluminal sources. An embarrassment is that the average projected size [on the sky] of the outer structure is no smaller than that of the normal radio-source population.
In other words the jets are evidently not, on average, close to our line-of-sight. (Their apparent length would appear much shorter if they were.)
In 1993, Thomson et al. suggested that the (outer) jet of the quasar 3C 273 is nearly collinear to our line-of-sight. Superluminal motion of up to ~9.6c has been observed along the (inner) jet of this quasar.
Superluminal motion of up to 6c has been observed in the inner parts of the jet of M87
Messier 87
Messier 87 is a supergiant elliptical galaxy. It was discovered in 1781 by the French astronomer Charles Messier, who cataloged it as a nebulous feature. The second brightest galaxy within the northern Virgo Cluster, it is located about 16.4 million parsecs from Earth...
. To explain this in terms of the "narrow-angle" model, the jet must be no more than 19° from our line-of-sight. But evidence suggests that the jet is in fact at about 43° to our line-of-sight. The same group of scientists later revised that finding and argue in favour of a superluminal bulk movement in which the jet is embedded.
Suggestions of turbulence and/or "wide cones" in the inner parts of the jets have been put forward to try to counter such problems, and there seems to be some evidence for this.
Laser Ranging
NASA's lunar laser ranging experimentLunar laser ranging experiment
The ongoing Lunar Laser Ranging Experiment measures the distance between the Earth and the Moon using laser ranging. Lasers on Earth are aimed at retroreflectors planted on the moon during the Apollo program, and the time for the reflected light to return is determined...
was supposed to be a specific and precise test of the invariance of c and Special Relativity
Special relativity
Special relativity is the physical theory of measurement in an inertial frame of reference proposed in 1905 by Albert Einstein in the paper "On the Electrodynamics of Moving Bodies".It generalizes Galileo's...
. The first two papers were published in Dec. 2009. The results were apparently inconsistent with either SR or Lorentz invariance of c. They were consistent with GPS data when corrected to consistently account for the Sagnac effect
Sagnac effect
The Sagnac effect , named after French physicist Georges Sagnac, is a phenomenon encountered in interferometry that is elicited by rotation. The Sagnac effect manifests itself in a setup called ring interferometry. A beam of light is split and the two beams are made to follow a trajectory in...
. Measured speed appeared superluminal, exceeding canonical value by 200ms (which was "the speed of the observatory along the line of sight due to rotation during measurement"). Article suggested that, if c were to remain invariant, a preferred frame would be required. In this case an observer in the preferred frame could measure the apparent superluminal motion of light travelling at c within another frame in relative motion, as the Discrete Field Model, and would suggest an alternative explanation for the gas jets of galaxy M87
Messier 87
Messier 87 is a supergiant elliptical galaxy. It was discovered in 1781 by the French astronomer Charles Messier, who cataloged it as a nebulous feature. The second brightest galaxy within the northern Virgo Cluster, it is located about 16.4 million parsecs from Earth...
(see below).
It was subsequently shown that these lunar ranging measurements have been misinterpreted, and the experiment, as analyzed, did not actually measure the speed of light in the moving reference frame. All measurements of c in the experiment were actually performed from a stationary frame only, which resulted in expected, correct values of c (within 8.3 ± 3.2 m/s as stated in the article). For that same set of data, the author then performed Galilean transformations, and erroneously got a different speed of light inside the moving frame. The author updated his paper.
Signal Velocity
The model identifies a difference between the information carried by the wave at its signal velocity 'c', and the information about the wave fronts apparent rate of change of position. If you envisage a light pulse in a wave guide (glass tube) moving across an observers field of view, the pulse can only move at 'c' through the guide. If that pulse is also directed towards the observer he will receive that wave information, at 'c'. If the wave guide is moved in the same direction as the pulse the information on its position, passed to the observer as lateral emissions from the pulse, changes. He may see the rate of change of position as apparently representing motion faster than 'c' when calculated, like the edge of a shadow across a curved surface. This is a different signal, containing different information, to the pulse and does not break the 2nd postulate of SR. 'c' is strictly maintained in all local fields.Messier 87 etc. Gas Jets
An alternative explanation for the Gas Jets moving at 6c is derived from the Discrete Field Model and is consistent with the NASA Lunar Ranging results (above). The magnetic field of the super massive rotating black hole will be contorted to a "tube" at the poles, ejecting the particles. The jet is proposed as a moving "field" gradually slowing and diffusing, but with new particles travelling in its core at close to c within its own moving frame, and more new ones at c in their frame. Newer core particles would be more radiant. From the Hubble space telescopes "preferred" frame they would in this case appear to be moving at 6c, but none would exceed c in the quantum field they are moving within.Derivation of the relativistic explanation
A relativistic jetRelativistic jet
Relativistic jets are extremely powerful jets of plasma which emerge from presumed massive objects at the centers of some active galaxies, notably radio galaxies and quasars. Their lengths can reach several thousand or even hundreds of thousands of light years...
coming out of the center of an AGN
Active galactic nucleus
An active galactic nucleus is a compact region at the centre of a galaxy that has a much higher than normal luminosity over at least some portion, and possibly all, of the electromagnetic spectrum. Such excess emission has been observed in the radio, infrared, optical, ultra-violet, X-ray and...
is moving along AB with a velocity v. We are observing the jet from the point O. At time a light ray leaves the jet from point A and another ray leaves at time from point B. Observer at O receives the rays at time and respectively.
- ,
- , where
Apparent transverse velocity along CB,
- , where
If (i.e. when velocity of jet is close to the velocity of light) then despite the fact that . And of course means apparent transverse velocity along CB, the only velocity on sky that we can measure, is larger than the velocity of light in vacuum, i.e. the motion is apparently superluminal.
History
In 1966 Martin Rees predicted (Nature 211, 468) that "an object moving relativistically in suitable directions may appear to a distant observer to have a transverse velocity much greater than the velocity of light".A few years later (in 1970) such sources were indeed discovered as very distant astronomical radio sources, such as radio galaxies and quasars. They were called superluminal (lit. "above light") sources. The discovery was a spectacular result of a new technique called Very Long Baseline Interferometry
Very Long Baseline Interferometry
Very Long Baseline Interferometry is a type of astronomical interferometry used in radio astronomy. It allows observations of an object that are made simultaneously by many telescopes to be combined, emulating a telescope with a size equal to the maximum separation between the telescopes.Data...
, which allowed astronomers to determine positions better than milli-arcsecond
Minute of arc
A minute of arc, arcminute, or minute of angle , is a unit of angular measurement equal to one sixtieth of one degree. In turn, a second of arc or arcsecond is one sixtieth of one minute of arc....
s and in particular to determine the change in positions on the sky, called proper motion
Proper motion
The proper motion of a star is its angular change in position over time as seen from the center of mass of the solar system. It is measured in seconds of arc per year, arcsec/yr, where 3600 arcseconds equal one degree. This contrasts with radial velocity, which is the time rate of change in...
s in a timespan of typically years. The apparent velocity is obtained by multiplying the observed proper motion by the distance and could be up to 6 times the speed of light.
In 1994 a Galactic speed record was obtained with the discovery of a superluminal source in our own Galaxy, the cosmic x-ray source GRS 1915+105
GRS 1915+105
GRS 1915+105 or V1487 Aquilae is an X-ray binary star system which features a regular star and a black hole. It was discovered on August 15, 1992 by the WATCH all-sky monitor aboard Granat. "GRS" stands for "GRANAT source", "1915" is the right ascension and "105" is declination in units of 0.1...
. The expansion occurred on a much shorter timescale. Several separate blobs were seen (I.F. Mirabel and L.F. Rodriguez, Nature 371, 48, "A superluminal source in the Galaxy") to expand in pairs within weeks by typically 0.5 arcsec. Because of the analogy with quasars, this source was called a microquasar.
See also
- Ultra-high-energy cosmic rayUltra-high-energy cosmic rayIn astroparticle physics, an ultra-high-energy cosmic ray or extreme-energy cosmic ray is a cosmic ray with an extreme kinetic energy, far beyond both its rest mass and energies typical of other cosmic rays....
- Faster-than-lightFaster-than-lightFaster-than-light communications and travel refer to the propagation of information or matter faster than the speed of light....
- Superluminal communication