1 Nicolaas Vroom |
GRS1915+105 and SR | maandag 10 december 2001 13:31 |
2 Steve Willner |
Re: GRS1915+105 and SR | woensdag 12 december 2001 12:45 |
3 Ted Rosencrantz |
Re: GRS1915+105 and SR | donderdag 13 december 2001 0:32 |
4 Nicolaas Vroom |
Re: GRS1915+105 and SR | zaterdag 15 december 2001 18:15 |
5 Nicolaas Vroom |
Re: GRS1915+105 and SR | zaterdag 15 december 2001 18:15 |
At page 501 of Nature no 6863 29 Nov 2001 "A new spin on black-hole masses" we read: "The apparent speed is a well-known optical illusion caused by special relativity, but the true velocity of the jet material is calculated to be greater than 90% of the speed of light"
IMO an optical illusion and SR have nothing in common. The apparent speed is either an optical illusion or it can be explained by SR but it can not be both
A different line of reasoning is that SR (part of) is an optical illusion but I doubt that.
When you will go to my home page https://www.nicvroom.be and you select train experiment part 1 or program 4 I argue that when you move a rod away from you its length appears shortened and when you move a rod towards you its length appears longer however both effects are optical illusions. The same for effects are for speed ie it is an optical illusion and has nothing to do with SR
Or something of my understanding is wrong.
One very interesting piece of information
are the MEASURED delta z values from:
1 GRS1915+105 the source microquasar.
2. The approaching component
3. The receding component
The original article in Nature 6492 at page 48
I read:
"The spectral lines arising in the approaching and
receding components should have mean redshifts
of 0.75 and 2.36 respectivily (as a result of relativistic
effects both should appear redshifted)"
I interpret this as, that as of 1994, the redshift values were not measured.
In relation to the Big Bang if you study the distance as for example quasars at z=3 you should be carefull not to measure the dz of the receding components of the quasar but the dz of the real quasar
Nicolaas Vroom
[Mod. note: in quasars, as opposed to Galactic microquasars, the jets are synchrotron emission and so do not contain spectral lines. You're right, however, that the optical illusion that gives rise to apparent superluminal motion has nothing much to do with SR. See http://sciastro.astronomy.net/sci.astro.8.FAQ
In article
IMO an optical illusion and SR have nothing in common.
Perhaps one can object to the phrase "optical illusion," but the
physics of the situation are well known.
If you multiply the apparent angular speed by the distance to the
object, you come up with a speed faster than the speed of light. The
point is that this does not imply that any physical object is
travelling faster than light; special relativity (and an assumption
about or knowledge of the inclination angle) enables you to calculate
the true speed of the jet material.
--
Steve Willner Phone 617-495-7123 swillner@cfa.harvard.edu
Cambridge, MA 02138 USA
In article
It's perhaps worth pointing out that you don't even need special
relativity to understand the phenomenon. It happens even in classical
kinematics.
Say an object is moving with a velocity component of 3/6 times the
speed of light in the direction transverse to your line of sight, and
a component of 4/6 times the speed of light towards you. Then
its true velocity is 5/6 times the speed of light. (I know I could
reduce the fractions in the two components, but I wanted the 3-4-5
triangle to be explicit.)
Now, suppose this object emits two pulses of light one year apart.
During that one year, the object has moved 3/6 light-year transverse
to your line of sight, so you'll see an apparent displacement of half
a light-year. The two pulses of light will arrive at your location
only a third of a light-year apart, though. (They were emitted one
year apart, but the second one had 2/3 of a light-year less distance
to travel in order to reach you, since the object had moved towards
you by this amount during that year.)
So you see an apparent displacement of 1/2 light-year in an apparent
time of 1/3 year. If you're sufficiently naive, you conclude that the
object has a transverse velocity of 1.5 times the speed of light.
So you don't need special relativity to understand where this "optical
illusion" comes from. Of course, you do need special relativity to
understand why it's interesting: without special relativity, there
wouldn't be any problem with something (apparently) moving faster than
the speed of light.
-Ted
Steve Willner
IMO an optical illusion and SR have nothing in common.
Perhaps one can object to the phrase "optical illusion," but the
physics of the situation are well known.
If you multiply the apparent angular speed by the distance to the
object, you come up with a speed faster than the speed of light. The
point is that this does not imply that any physical object is
travelling faster than light; special relativity (and an assumption
about or knowledge of the inclination angle) enables you to calculate
the true speed of the jet material.
If I understand above you need Lorentz transformations
in order to explain and to calculate the true speed.
Implying that the wording "optical illusion" does not apply
My understanding (and so the moderator
See http://sciastro.astronomy.net/sci.astro.
is that any new physics (SR) is not required.
My understanding comes from studying a rod.
(See https://www.nicvroom.be/
When this rod moves away both its apparent length
and its apparent speed decrease.
When this rod moves towards the observer its apparent
length and speed both increase.
You can argue that the length in both cases also
diminishes as a result of length contraction ie SR.
If that is the case I will expand my comments.
Program 4 was written around 1993.
Nicolaas Vroom
So you see an apparent displacement of 1/2 light-year in an apparent
time of 1/3 year. If you're sufficiently naive, you conclude that the
object has a transverse velocity of 1.5 times the speed of light.
So you don't need special relativity to understand where this "optical
illusion" comes from. Of course, you do need special relativity to
understand why it's interesting: without special relativity, there
wouldn't be any problem with something (apparently) moving faster than
the speed of light.
Assuming that the "you" above is the Observer than it is
important if you assume that all values are measured in the
same reference frame (rest frame) of the Observer.
A different way to do this "experiment"
is performing measurements in the rest frame of the object.
For example: emitting "two pulses one year apart"
with one clock which moves with the object.
If you compare this clock in the rest frame of the object
with the clocks in the rest frame of the observer than
the first one will run slower compared with the second ones.
To understand that (and only that) you need SR.
IMO the apparent length of the object also changes.
When the rod moves away from you, the reverse is true
and the apparent length that you see is shorter.
Including SR complicates this picture.
(Assuming my understanding is correct)
When the rod moves away from you what you see
will be even more shorter.
When the rod moves towards you what you see
will be less longer.
Nicolaas
Created: 23 December 2001
Back to my home page Contents of This Document
>
At page 501 of Nature no 6863 29 Nov 2001
"A new spin on black-hole masses" we read:
"The apparent speed is a well-known optical illusion caused
by special relativity, but the true velocity of the jet material
is calculated to be greater than 90% of the speed of light"
(Please email your reply if you want to be sure I see it; include a
valid Reply-To address to receive an acknowledgement. Commercial
email may be sent to your ISP.)
3 GRS1915+105 and SR
Van:
Onderwerp: Re: GRS1915+105 and SR
Datum: donderdag 13 december 2001 0:32
>
If you multiply the apparent angular speed by the distance to the
object, you come up with a speed faster than the speed of light. The
point is that this does not imply that any physical object is
travelling faster than light; special relativity (and an assumption
about or knowledge of the inclination angle) enables you to calculate
the true speed of the jet material.
4 GRS1915+105 and SR
Van:
Onderwerp: Re: GRS1915+105 and SR
Datum: zaterdag 15 december 2001 18:15
>
In article
> >
At page 501 of Nature no 6863 29 Nov 2001
"A new spin on black-hole masses" we read:
"The apparent speed is a well-known optical illusion caused
by special relativity, but the true velocity of the jet material
is calculated to be greater than 90% of the speed of light"
>
5 GRS1915+105 and SR
Van:
Onderwerp: Re: GRS1915+105 and SR
Datum: zaterdag 15 december 2001 18:15
>
Now, suppose this object emits two pulses of light one year apart.
During that one year, the object has moved 3/6 light-year transverse
to your line of sight, so you'll see an apparent displacement of half
a light-year. The two pulses of light will arrive at your location
only a third of a light-year apart, though. (They were emitted one
year apart, but the second one had 2/3 of a light-year less distance
to travel in order to reach you, since the object had moved towards
you by this amount during that year.)
For example:
"suppose this object emits two pulses of light one year apart"
means that you need (at least) two clocks in the rest frame
5/6 light year apart (2/3 light year apart in line of sight)
The "one year" means than the difference in time when
the object moves from the first to the second clock.
When you consider the object as a rod with length l
(in the rest frame of the observer) than any moment
the observer sees both the beginning and end.
(The rod moves almost in the direction of line of sight)
When the rod moves towards you, you will not see
the beginning and end where those points are at the same
moment. You will see the end at an earlier moment
(when the rod was further away)
resulting that apparent length that you see is longer.