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#1
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It is generally accepted that the uniformity of the cosmic background
radiation provides a ready made test of whether the observer is actually moving with the cosmic flow of space. In our case, the background radiation shows a slight blue shift in one direction that is explained by our 600km/sec relative motion withn that cosmic flow...(our Earth's motion around the Sun, the Sun's motion around the galactic center and the entire Milky Way has velocity, in excess of the cosmic expansion, in the direction of the constellation Hydra). Now, could someone please help me understand the following thought experiment...... If we imagine a planet in a particular far away galaxy, where this galaxy has a considerable relative recession to ourselves, and where this relative velocity is almost entirely attributable to the cosmic expansion ( let's say 20,000 km/sec). The inhabitants of this planet will, of course, see themselves as almost 'at rest' relative to the cosmic background radiation. They are almost entirely just moving with the cosmic flow. If we then imagine an intrepid astronaut from Earth accelerating off in the direction of this galaxy, eventually catching it up and landing on the planet in question. That astronaut now has a 20,000 km/sec relative motion with their mother Earth's background radiation, and therefore must see that background radiation as considerably blue shifted in their direction of travel. The astronaut may then have tea with an alien on that planet, who views their backgrond radiation as (almost) not shfted at all. How can this be? If the astronaut mates with the alien, how will their son see the cosmic background shifted? Obviously, I am missing something.....Please help. Thanks J.Metolius |
#2
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Short answer - once located on the surface of the planet, the astronaut
makes the same observation as the native inhabitants and that is there will be a slight blueshift attributed to the general motion of that planet relative to the background, and a redshift in the opposite direction. Your thought experiment fails because you are attempting to put the motion of the astronaut during flight into the observation made by the astronaut once on the planet. IF the astronaut could travel at such high speeds, during that motion there would be a larger blueshift in the CMB in the direction of motion and larger redshift in the opposite direction than we measure here. That motion is unimportant once the astronaut reaches the surface of the distant planet. On the surface, measurements would yield the same type of results as here. jmetolius wrote: It is generally accepted that the uniformity of the cosmic background radiation provides a ready made test of whether the observer is actually moving with the cosmic flow of space. In our case, the background radiation shows a slight blue shift in one direction that is explained by our 600km/sec relative motion withn that cosmic flow...(our Earth's motion around the Sun, the Sun's motion around the galactic center and the entire Milky Way has velocity, in excess of the cosmic expansion, in the direction of the constellation Hydra). Now, could someone please help me understand the following thought experiment...... If we imagine a planet in a particular far away galaxy, where this galaxy has a considerable relative recession to ourselves, and where this relative velocity is almost entirely attributable to the cosmic expansion ( let's say 20,000 km/sec). The inhabitants of this planet will, of course, see themselves as almost 'at rest' relative to the cosmic background radiation. They are almost entirely just moving with the cosmic flow. If we then imagine an intrepid astronaut from Earth accelerating off in the direction of this galaxy, eventually catching it up and landing on the planet in question. That astronaut now has a 20,000 km/sec relative motion with their mother Earth's background radiation, and therefore must see that background radiation as considerably blue shifted in their direction of travel. The astronaut may then have tea with an alien on that planet, who views their backgrond radiation as (almost) not shfted at all. How can this be? If the astronaut mates with the alien, how will their son see the cosmic background shifted? Obviously, I am missing something.....Please help. Thanks J.Metolius |
#3
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Thank you Scott. Would you mind if I ask a few further questions? While
I'm sure you are correct, could you (or anyone else) offer a more detailed explanation of why ' that motion is unimportant once the astronaut reaches the surface of the planet' . I'm still missing something here. At what point does the astronaut stop experiencing the CMB being blue shifted in their direction of travel? I understand that, to catch up with the receding planet, the theoretical astronaut must accelerate to a greater speed (relative to Earth), and then eventually to decelerate before landing, but the deceleration will still leave them traveling at 20,000 km/sec relative to earth after they have landed, so why wouldn't they be experiencing a blue shifted CMB? Thanks again, JMetolius Scott Miller wrote: Short answer - once located on the surface of the planet, the astronaut makes the same observation as the native inhabitants and that is there will be a slight blueshift attributed to the general motion of that planet relative to the background, and a redshift in the opposite direction. Your thought experiment fails because you are attempting to put the motion of the astronaut during flight into the observation made by the astronaut once on the planet. IF the astronaut could travel at such high speeds, during that motion there would be a larger blueshift in the CMB in the direction of motion and larger redshift in the opposite direction than we measure here. That motion is unimportant once the astronaut reaches the surface of the distant planet. On the surface, measurements would yield the same type of results as here. jmetolius wrote: It is generally accepted that the uniformity of the cosmic background radiation provides a ready made test of whether the observer is actually moving with the cosmic flow of space. In our case, the background radiation shows a slight blue shift in one direction that is explained by our 600km/sec relative motion withn that cosmic flow...(our Earth's motion around the Sun, the Sun's motion around the galactic center and the entire Milky Way has velocity, in excess of the cosmic expansion, in the direction of the constellation Hydra). Now, could someone please help me understand the following thought experiment...... If we imagine a planet in a particular far away galaxy, where this galaxy has a considerable relative recession to ourselves, and where this relative velocity is almost entirely attributable to the cosmic expansion ( let's say 20,000 km/sec). The inhabitants of this planet will, of course, see themselves as almost 'at rest' relative to the cosmic background radiation. They are almost entirely just moving with the cosmic flow. If we then imagine an intrepid astronaut from Earth accelerating off in the direction of this galaxy, eventually catching it up and landing on the planet in question. That astronaut now has a 20,000 km/sec relative motion with their mother Earth's background radiation, and therefore must see that background radiation as considerably blue shifted in their direction of travel. The astronaut may then have tea with an alien on that planet, who views their backgrond radiation as (almost) not shfted at all. How can this be? If the astronaut mates with the alien, how will their son see the cosmic background shifted? Obviously, I am missing something.....Please help. Thanks J.Metolius |
#4
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Dear jmetolius:
"jmetolius" wrote in message oups.com... Thank you Scott. Would you mind if I ask a few further questions? While I'm sure you are correct, could you (or anyone else) offer a more detailed explanation of why ' that motion is unimportant once the astronaut reaches the surface of the planet' . Are you asking why the red/blue shift with respect to the CMB is unimportant? I'm still missing something here. At what point does the astronaut stop experiencing the CMB being blue shifted in their direction of travel? When they are at rest with respect to it. I understand that, to catch up with the receding planet, the theoretical astronaut must accelerate to a greater speed (relative to Earth), and then eventually to decelerate before landing, but the deceleration will still leave them traveling at 20,000 km/sec relative to earth after they have landed, so why wouldn't they be experiencing a blue shifted CMB? Lets get a minor detail handled. The Earth is moving wrt the CMBR (and the average population of observable objects) with a speed of only about 300 km/sec. So "20,000" is a little high for your proposed planet to be at rest wrt the CMBR. They will see the CMBR at the same temperature in all directions when they are at rest wrt to it. So even orbitting a star or a galactic center could be a problem. And now, why do you think it would be important whether or not this planet is at rest? David A. Smith |
#5
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David...
Please read the initial thought experiment, then I would be pleased if you can offer an explanation. The 20,000km/sec is just a number. It can be any velocity you like: make it 2,000km/sec if you like. It is just a thought experiment to get a handle on the physics involved. N:dlzc D:aol T:com (dlzc) wrote: Dear jmetolius: "jmetolius" wrote in message oups.com... Thank you Scott. Would you mind if I ask a few further questions? While I'm sure you are correct, could you (or anyone else) offer a more detailed explanation of why ' that motion is unimportant once the astronaut reaches the surface of the planet' . Are you asking why the red/blue shift with respect to the CMB is unimportant? I'm still missing something here. At what point does the astronaut stop experiencing the CMB being blue shifted in their direction of travel? When they are at rest with respect to it. I understand that, to catch up with the receding planet, the theoretical astronaut must accelerate to a greater speed (relative to Earth), and then eventually to decelerate before landing, but the deceleration will still leave them traveling at 20,000 km/sec relative to earth after they have landed, so why wouldn't they be experiencing a blue shifted CMB? Lets get a minor detail handled. The Earth is moving wrt the CMBR (and the average population of observable objects) with a speed of only about 300 km/sec. So "20,000" is a little high for your proposed planet to be at rest wrt the CMBR. They will see the CMBR at the same temperature in all directions when they are at rest wrt to it. So even orbitting a star or a galactic center could be a problem. And now, why do you think it would be important whether or not this planet is at rest? David A. Smith |
#6
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Dear jmetolius:
"jmetolius" wrote in message oups.com... N:dlzc D:aol T:com (dlzc) wrote: Dear jmetolius: "jmetolius" wrote in message oups.com... Thank you Scott. Would you mind if I ask a few further questions? While I'm sure you are correct, could you (or anyone else) offer a more detailed explanation of why ' that motion is unimportant once the astronaut reaches the surface of the planet' . Are you asking why the red/blue shift with respect to the CMB is unimportant? I'm still missing something here. At what point does the astronaut stop experiencing the CMB being blue shifted in their direction of travel? When they are at rest with respect to it. I understand that, to catch up with the receding planet, the theoretical astronaut must accelerate to a greater speed (relative to Earth), and then eventually to decelerate before landing, but the deceleration will still leave them traveling at 20,000 km/sec relative to earth after they have landed, so why wouldn't they be experiencing a blue shifted CMB? Lets get a minor detail handled. The Earth is moving wrt the CMBR (and the average population of observable objects) with a speed of only about 300 km/sec. So "20,000" is a little high for your proposed planet to be at rest wrt the CMBR. They will see the CMBR at the same temperature in all directions when they are at rest wrt to it. So even orbitting a star or a galactic center could be a problem. And now, why do you think it would be important whether or not this planet is at rest? Please read the initial thought experiment, I read it. I read it before I replied. then I would be pleased if you can offer an explanation. You didn't answer my question. The 20,000km/sec is just a number. It can be any velocity you like: make it 2,000km/sec if you like. I "like" the number 300 km/sec, since that could be at rest with the CMBR. It is just a thought experiment to get a handle on the physics involved. The physics is Doppler shift. And if someone were at rest with respect to the CMBR, they *might* age a tiny bit faster than an Earthman. Other than that, the physics *there* is the same as we see here. David A. Smith |
#7
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![]() "jmetolius" wrote in message oups.com... It is generally accepted that the uniformity of the cosmic background radiation provides a ready made test of whether the observer is actually moving with the cosmic flow of space. In our case, the background radiation shows a slight blue shift in one direction that is explained by our 600km/sec relative motion withn that cosmic flow...(our Earth's motion around the Sun, the Sun's motion around the galactic center and the entire Milky Way has velocity, in excess of the cosmic expansion, in the direction of the constellation Hydra). Now, could someone please help me understand the following thought experiment...... If we imagine a planet in a particular far away galaxy, where this galaxy has a considerable relative recession to ourselves, and where this relative velocity is almost entirely attributable to the cosmic expansion ( let's say 20,000 km/sec). The inhabitants of this planet will, of course, see themselves as almost 'at rest' relative to the cosmic background radiation. They are almost entirely just moving with the cosmic flow. If we then imagine an intrepid astronaut from Earth accelerating off in the direction of this galaxy, eventually catching it up and landing on the planet in question. That astronaut now has a 20,000 km/sec relative motion with their mother Earth's background radiation, and therefore must see that background radiation as considerably blue shifted in their direction of travel. The astronaut may then have tea with an alien on that planet, who views their backgrond radiation as (almost) not shfted at all. How can this be? If the astronaut mates with the alien, how will their son see the cosmic background shifted? Obviously, I am missing something.....Please help. Thanks What you are missing is that the material which produced the CMBR is itself expanding. The radiation seen on the distant planet was produced in a different location to the radiation seen by the observer from Earth so it has a different mean motion. Suppose we currently see CMBR which was produced 13 billion years ago. In one sense (ignoring the change of scale in between) you could say that radiation was produced 13 billion light years away in all directions, hence in a sphere round us. If I just represent a line passing through Earth 'E' and your distant planet 'P', it intersects the material that produced the radiation we see at W and X like this: --W----E----X--P------- Similarly the radiation seen at the same time on P was produced by plasma at locations Y and Z: --W----E--Y-X--P----Z-- Now that whole line was expanding at the time the radiation was produced so W and X were separating from E to give the red shift we see, and Y and Z were separating from P. If astronomers could have viewed it when the redshift was just a factor of 2 (z=1) then the line would be like this: ----W---------E-----Y---X-----P---------Z---- Now here's the mistake, you said: If we then imagine an intrepid astronaut from Earth accelerating off in the direction of this galaxy, eventually catching it up and landing on the planet in question. That astronaut now has a 20,000 km/sec relative motion with their mother Earth's background radiation, and therefore must see that background radiation ... ^^^^ By the time he gets to the planet, he isn't seeing "that" background radiation, meaning the radiation from the same source material that he saw from Earth, he is seeing radiation produced at Y and Z, both of which were apparently moving from left to right when it was emitted, and if P seems to be moving at 20000 km/s relative to Earth, the average motion of Y and Z was also 20000 km/s in Earth coordinates. HTH George |
#8
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Dear jmetolius:
"jmetolius" wrote in message oups.com... Thanks George. I guess I was lazy to work this out. Bringing together Relativity and the concept of the local 'prefered frame of reference' of the CMBR somehow didn't compute for a while there. Now, I think I have it. It would seem to me that the important concept here is that an AVERAGE acceleration in any given direction directly away from Earth, that leaves the craft at a velocity (relative to Earth) of (distance x H ), would ensure that our theoretical astronaut observer would see the CMBR as (almost) uniform in all directions. No more than the CMBR seems "(almost) uniform in all directions" now. The variance in the temperature of the CMBR is very slight now. 300 km/sec *in one particluar direction* will make that difference disappear. Any other choice of direction, or different speed, doesn't. The CMBR is expanding away from every point in every frame. It is just that some frames see the current "expansion speed" as different values in different directions. To land on the planet that was the subject of the original thought experiment, the astronaut would have to have the exact average acceleration in that vector that leaves them at (distance x H ) velocity relative to Earth when they land. Thanks for the nudge. It isn't where the other planet is. It does matter in which direction and what speed it is moving wrt the Earth. It doesn't matter what the acceleration profile is, as long as you don't kill your astronaut and yet still end up on your planet with zero relative velocity to the planet (assuming you have infinite fuel). David A. Smith |
#9
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![]() "jmetolius" wrote in message oups.com... Thanks George. I guess I was lazy to work this out. Bringing together Relativity and the concept of the local 'prefered frame of reference' of the CMBR somehow didn't compute for a while there. That's actually reasonable because there isn't a global preferred frame of reference defined by the CMBR in the sense of special relativity, it is only local. If you scatter space with lots of little probes each of which can use thrusters to arrange its speed so that it sees no anisotropy, the grid pattern formed by them would itself be expanding. Now, I think I have it. It would seem to me that the important concepthere is that an AVERAGE acceleration in any given direction directly away from Earth, that leaves the craft at a velocity (relative to Earth) of (distance x H ), would ensure that our theoretical astronaut observer would see the CMBR as (almost) uniform in all directions. You have to be careful because any real motion gets you to your destination at a later time than when you set out so you have to account for the ongoing expansion during the journey. What matters of course is that your astronaut should get to the distant planet in a reasonable time and then match his speed to that of the planet. If the astronaut measures the CMBR while moving past it at high speed, obviously he will get a different value for the anisotropy. To land on the planet that was the subject of the original thought experiment, the astronaut would have to have the exact average acceleration in that vector that leaves them at (distance x H ) velocity relative to Earth when they land. Better to have much higher acceleration, get there fast and then "fire the retros" to stop. The key is to match velocity. You are right about averages though since there is a redshift observed in all directions, the proper motion is defined as the deviation from uniformity hence it is the dipole moment of the deviation from the average. Thanks for the nudge. Glad to help best regards George |
#10
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Dear George,
Yes, the DISTANCE in the term (distance x H ) velocity (away from Earth), is the distance of the planet from Earth when the astronaut arrives. Any observer traveling (distance x H ) velocity (away from Earth) will always experience a uniform CMBR. David, I suggest you read George's contribution. Thanks again George. JMetolius George Dishman wrote: "jmetolius" wrote in message oups.com... Thanks George. I guess I was lazy to work this out. Bringing together Relativity and the concept of the local 'prefered frame of reference' of the CMBR somehow didn't compute for a while there. That's actually reasonable because there isn't a global preferred frame of reference defined by the CMBR in the sense of special relativity, it is only local. If you scatter space with lots of little probes each of which can use thrusters to arrange its speed so that it sees no anisotropy, the grid pattern formed by them would itself be expanding. Now, I think I have it. It would seem to me that the important concepthere is that an AVERAGE acceleration in any given direction directly away from Earth, that leaves the craft at a velocity (relative to Earth) of (distance x H ), would ensure that our theoretical astronaut observer would see the CMBR as (almost) uniform in all directions. You have to be careful because any real motion gets you to your destination at a later time than when you set out so you have to account for the ongoing expansion during the journey. What matters of course is that your astronaut should get to the distant planet in a reasonable time and then match his speed to that of the planet. If the astronaut measures the CMBR while moving past it at high speed, obviously he will get a different value for the anisotropy. To land on the planet that was the subject of the original thought experiment, the astronaut would have to have the exact average acceleration in that vector that leaves them at (distance x H ) velocity relative to Earth when they land. Better to have much higher acceleration, get there fast and then "fire the retros" to stop. The key is to match velocity. You are right about averages though since there is a redshift observed in all directions, the proper motion is defined as the deviation from uniformity hence it is the dipole moment of the deviation from the average. Thanks for the nudge. Glad to help best regards George |
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The Gravitational Instability Theory on the Formation of the Universe | Br Dan Izzo | Policy | 6 | September 7th 04 09:29 PM |