Posted on 04/05/2009 8:10:35 PM PDT by betty boop
LOL Watch the animation again, you will notice that the sender releases the ball directly at the recipient in both cases. You will also notice that the recipient catches the ball directly behind the sender, 180 degrees away, in both frames of reference. Did you even watch the animation?
BTW, Why in the world would you think that would be "news" to anyone who does telescopic observation or photography? And why, "delicate"? You just described the reason the sun "rises" and "sets" -- and why we have day and night...
The animation shows the thrower releasing the ball in an identical direction and time at the catcher, in both frames of reference. When the ball is released it is at the center of the merry go round, the thrower is at the bottom of the screen and the recipient is at the top. Both frames are identical and the leading is exactly the same.
First let me say I agree with you about “man’s laws,” which are truly arbitrary and contingent, and infinitely changeable, as the supreme law of this land (The U.S. Constitution) has been totally abrogated.
My original post though, was a question about the Bible itself, and “God’s” law, which also seems to have changed. If observation of the Sabbath was sin worthy of death in the Old Testament, but is no longer a law requiring obedience, hasn’t “God’s law” changed?
I won’t mind if you are not interested in answering the question, I’m just clarifying my original point.
Thanks for the comments.
Hank
No kidding. The thrower is aiming at the target, not leading him. What you wrote in post 716 is incorrect:
Well it so happens that if Pluto is stationary you will need to lead it by 102 degrees if you are shooting that missile from a rotating Earth.I missed this the first time, but this is also incorrect:
You seem to understand that if Pluto was orbiting a stationary earth you would need to lead it by 102 degrees to hit it with a missile traveling at the speed of light.The reason being that you would need to lead the image of Pluto by TWICE as much (i.e. 204 degrees) in order to account for Pluto's motion both during the time that it took the light from Pluto to reach Earth and during the time that it will take your Light-Attained Speedy Extraterrestrial Rocket, or "LASER"... :)
However, this is different than the case of a stationary Pluto and a rotating frame. If you wanted to hit Pluto in this case you would aim at its image just as you would if you were aiming at a stationary Pluto from a non-rotating, inertial frame. Why? Because as viewed from your non-inertial, rotating frame, the light's path appears to curve (watch the animation with the ball again, from the perspective of the thrower): The light that Pluto emitted 102 degrees ago also curves around 102 degrees to meet you, and your "LASER"...
...will curve around to meet Pluto 102 degrees later. If you were to fire something travelling slower than the speed of light, you would STILL aim at the image, but your projectile would simply take longer to hit its target, and at a different angle displacement. Again, this is all because rotating frames are non-inertial.
Did you even watch the animation?
Of course... what do you think I was discussing in my post when I pointed out that the thrower is not leading the target? Did you bother to read the rest of my post, and did you understand what I wrote? More importantly, did you bother to read the explanation of the animation at the link you provided, and do you understand the difference between an inertial frame and a non-inertial one? Do you understand that the animation shows the juxtaposition of a throw and catch as seen by a spinning thrower in a non-inertial frame and as seen by a stationary catcher in an inertial one? Do you understand that the animation does NOT show a throw and catch as seen by a non-spinning thrower in an inertial frame and as seen by an orbiting (and spinning!) catcher in a non-inertial frame? Do you understand that in this case the non-spinning thrower would have to lead the orbiting catcher by releasing the ball when he is BEHIND her in order to compensate for the catcher's motion, and that he will catch the ball when he is IN FRONT of her, as opposed to the other way around as in the animation? Do you understand that in this case the thrower would observe the ball following a linear trajectory while the catcher would observe the ball following a curved trajectory, as opposed to the other way around as in the animation? Do you see the difference?
The initial statement that I made was that an objects apparent position is not identical to its actual position at any given instant in time, primarily due to the speed of light. In other words when we see the Sun we see where it was apx 8 and a half minutes ago.
Do you agree or disagree with that statement?
MrJesse is quit adamant that the actual position is the same as the apparent position, except for a little parallax that I taught him about.
Let me give you something else to think about : ) When you create a field it propagates at the speed of light to infinity. Once the field has been stabilized how fast are the changes in the field? In other words when you look at the Sun, you are seeing it about 7 minutes behind where it actually is, but if you had a sensitive gravity sensor where would it point? At the sun you see or 7 minutes ahead of the sun you see? The answer will help you understand what a field is, it is not a simple concept.(Emph. Mine.)So you are quite clearly talking about the time of flight for the light from the sun to the earth, even though your question is a little ambigiuos since it's comparing time and angle.
The suns actual position and gravitational position do line up. The apparent position doesn't though, it is off by 2.1 degrees like you indicated.Your initial comments clearly indicate that you are talking about an observer on earth, at a single point in time who looks up and sees that the sun appears to be 2.1 degrees behind where it actually is at that same time. And furthermore, I have clearly stated the whole time that this is what I believed you to be claiming, and since you never said that it's not what you're claiming, that is what you've been claiming.
The discussion of inertial frames applies to Lorentz transformations as well, which, like Galilean transformations, are linear. The transformations for rotational frames are not, which is why a rotating frame is not inertial.
The initial statement that I made was that an objects apparent position is not identical to its actual position at any given instant in time, primarily due to the speed of light. In other words when we see the Sun we see where it was apx 8 and a half minutes ago.
Do you agree or disagree with that statement?
If I answer this then will you do me the courtesy of answering the quesions that I posed in my previous post? If you demand that I answer your questions but you refuse to answer mine then I don't see any use in continuing this discussion, nor will I respond to you again unless and until you show the courtesy to reciprocate. If you choose not to then my post stands, and I have no reason not to be content with that.
Now, I answer that there are two statements there.
1) "The initial statement that I made was that an objects apparent position is not identical to its actual position at any given instant in time, primarily due to the speed of light."I agree if you insert the word "necessarily" before the word "identical". However, there are certainly cases where an object's apparent position can coincide with its actual position, the case of a stationary object WRT an observer in an inertial frame being the trivial example. Here is another example:
2) "In other words when we see the Sun we see where it was apx 8 and a half minutes ago."This is true, of course. But the crux of the matter here is: Where was the sun 8.5 minutes ago? Was it where we see it now or was it where we saw it 8.5 minutes ago, 2 degrees behind where we see it now? The former is the correct answer because the apparent motion is due not to the Sun revolving around us, but due to our rotation, and as I've tried to make clear already, these are not relative. If you would argue that they are, then kindly address the questions from my previous post.
MrJesse is quit adamant that the actual position is the same as the apparent position, except for a little parallax that I taught him about.
And he is correct (although we should take into accout refraction due to the atmosphere as well, but that's a different story). In your Earth/Pluto thought experiment you will not get 102 degrees difference from parallax, not even close. The correction for parallax will be miniscule. Nor will you get even close to 2 degrees due to parallax in 8.5 minutes considering the position of the Sun as seen from the surface of the Earth.
But since we are discussing rotating frames (which for some reason you seem to think are inertial) let's keep our thought experiments focused on that. Or better yet, do a real experiment and see for yourself the difference between spinning and orbiting. And keep those questions from my previous post in mind when you do. :)
This is true, of course. But the crux of the matter here is: Where was the sun 8.5 minutes ago? Was it where we see it now or was it where we saw it 8.5 minutes ago, 2 degrees behind where we see it now? The former is the correct answer because the apparent motion is due not to the Sun revolving around us, but due to our rotation, and as I've tried to make clear already, these are not relative.
And of course I left out the most important part (although I had alluded to it above) that the Sun is in the same place now that it was 8.5 minutes ago, which is where we see it now.
2) "In other words when we see the Sun we see where it was apx 8 and a half minutes ago."This is true, of course. But the Sun is in the same place that it was 8.5 minutes ago, which is where we see it. This is because the apparent motion is due not to the Sun revolving around us, but to our rotation, and these are not relative.
That we see the Sun where it was 8.5 minutes ago would of course be true whether we were rotating or whether the Sun were orbiting us, but in the former case the Sun is where we see it while in the latter case the Sun is 2 degrees ahead of where we see it. These situations are not equivalent.
Now, if we want to hit the Sun with our "LASER", we must aim at where the Sun will be 8.5 minutes from now: In the former case we would aim at where we see the Sun, while in the latter case we would need to lead the Sun by 4 degrees (not 2) from where we see it. Again, the situations are not equivalent.
I was just reading about that. If I remember correctly, keeping the Sabbath is for the Jewish people (Old Testament), not Christians (Old & New Testament).
I'm no Bible scholar. I wish I knew more than what I do know, but I'm getting there.
I will try to find out why that is. Although I do think it had to do with Jesus Christ (Christianity), which took place in the New Testament.
If you mean an observation by an observer "in" space/time cannot change the structure of space/time, physical laws and constants - I'd say that is probably true.
If you mean an observation by an observer "in" space/time cannot change the world (collapse a wave function whether actual or epiphenomenal) - I'd say that is probably not true.
Of course, there are a few scientists and philosophers who believe the observer's observation creates "reality" per se. To me that is taking the view that "a tree falling in the forest does not make a sound if no one is there to hear it" to an extreme.
Besides I disagree, the falling tree does make a sound even if no one is there to hear it. And I point to the sound waves in the cosmic microwave background radiation as evidence that sound occurred at the moment light (photons) came into existence even though there was no one "in" space/time to hear it.
The sun is not stationary in the universe. Indeed, nothing is.
Our solar system is orbiting the Milky Way galaxy at a speed of 486,000 miles per hour. And on top of that, space/time itself is expanding.
The Newtonian physics being described here should be seen as local with respect to the universe.
Or to put it another way, coordinates for non-inertial frames are usually transformed to inertial frames when speaking of the cosmos in order to avoid fictitious forces which are nevertheless handy when dealing with physics on earth.
You are correct Zero Sum. I mistakenly thought they were relative, your explanation of the inertial-noninertial frames is what did it for me. That and when I tried to shoot your LAZER at the sun and make both frames equivalent. They aren't.
Mrjesse and Fichori you were essentially correct too and I would like to apologize for cavalierly dismissing your arguments and I would like to thank you both for your persistence in helping to show me my error : )
This is a very good day. I have been humbled a little bit and I have learned a couple of valuable lessons : )
Yes And I can quote wiki too : ) "Decoherence does not generate actual wave function collapse. It only provides an explanation for the appearance of wavefunction collapse. The quantum nature of the system is simply "leaked" into the environment. A total superposition of the universal wavefunction still occurs, but its ultimate fate remains an interpretational issue."
If you mean an observation by an observer "in" space/time cannot change the structure of space/time, physical laws and constants - I'd say that is probably true.
Agreed
If you mean an observation by an observer "in" space/time cannot change the world (collapse a wave function whether actual or epiphenomenal) - I'd say that is probably not true.
Our observations collapse the wave function.
Besides I disagree, the falling tree does make a sound even if no one is there to hear it. And I point to the sound waves in the cosmic microwave background radiation as evidence that sound occurred at the moment light (photons) came into existence even though there was no one "in" space/time to hear it.
I agree too. I don't think the moon disappears when I am not looking at it : )
I think the crux of our disagreement boils down to I think that the observer can determine the outcome of the wavefunction collapse. In other words if the experimenter is looking for wave properties that is what he can get, or if he is looking for particle properties he can get that too. The experimenter can't get both at the same time though, it is a choice that the experimenter makes.
It was explained to me this way. If you reach into a black box with a fork, you will pull out ice cubes and if you reach into the black box with a spoon you will pull out water. The choice between a spoon or a fork determines what comes out of the black box.
It was explained to me this way. If you reach into a black box with a fork, you will pull out ice cubes and if you reach into the black box with a spoon you will pull out water. The choice between a spoon or a fork determines what comes out of the black box.
However, the "observer problem" goes far beyond wave/particle duality.
I wish you guys would use something other than the solar system as an example because we do have some Freepers that would take the above statement literally, e.g. that the universe moves around the sun and space/time is fixed.The Sun's transverse velocity as observed from any object in our solar system is very small.
The sun is not stationary in the universe. Indeed, nothing is. [excerpt]
And on top of that, space/time itself is expanding. [excerpt]You know I'm gonna ask you do demonstrate that claim ;-)
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