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#121 |
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Muse
Join Date: Feb 2007
Posts: 783
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Okey dokey. Let's see if you're a man of your word.
I bolded the error for you. The relative velocity between the orbiting clock and a clock at the equator is not equal to the difference between the magnitude of the two velocities. This is because velocity is a vector, and so in order to find the relative velocity between two moving objects, you need to do vector subtraction, not scalar subtraction. - This is not even SR, this is plain Newtonian mechanics. In other words (in case you're unfamiliar with vectors), the relative velocity doesn't just depend on how fast the two objects are moving, but also in what direction they're moving. If they're moving in the same direction, you need to subtract the velocities. If they're moving in the opposite direction, you need to add the velocities. If they're moving at an angle, you need to do vector subtraction to get the correct result. Calculating the relative speed as (3,874.5 m/s - 463.8 m/s) = 3,410.7 m/s implies that the satellite and the surface clock are moving in the same direction. But that will practically never be true; they will almost always move in different directions, therefore having a relative speed higher than 3,410.7 m/s. In fact, they will just as frequently move in approximately opposite directions as in approximately same directions, yielding relative speed up to 3,874.5 m/s + 463.8 m/s = 4,338.3 m/s. Because the relative velocity you have calculated (3,410.7 m/s) is wrong (too low), your subsequent calculation of time dilation of 5.58 microseconds per day is also wrong (too low). Specifically, 5.58 is not the result which SR gives, it's an erroneous result that you have arrived to, due to your failure to properly subtract velocities. |
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#122 |
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Zygoticly Phased
Join Date: Nov 2004
Location: Arkham City
Posts: 3,182
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Is that true? IIUC satellites (not just GPS ones) orbit in the same direction as Earth's rotation. That just makes sense when launching them -- you need to give them a particular orbital velocity +/-Ws, and it's cheaper to add to Earth's rotation We to reach +Ws than subtract from it to reach -Ws.
GPS satellites have orbits inclined to the equator, but the equatorial component of the orbit is always going to be west to east, and be the dominant velocity in the satellite/detector system. Isn't it? I return to
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#123 |
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Muse
Join Date: Jul 2006
Location: London
Posts: 713
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Well. Seems there are a number of misconceptions here:
1. The friend travelling by car with a slow clock. Surprise, surprise, if the clock runs at a slower speed but the odometer is fine, you will get a higher value for the speed than an observer at rest. However, this is not analogous to an SR scenario - in that case, the odometer would also measure half the distance of the observer at rest. So both will agree on how fast the car was moving, but will disagree on 1) how long it took to drive, 2) the distance driven and 3) the time of arrival, assuming they agreed on when the drive started. Exactly the scenario for SR. 2. The twin non-paradox. Because really, what's the hangup? The amount of time dilation does not depend on acceleration in any way whatsoever, but does depend on the relative speed of the reference frames and how long is spent in each one. You can design the twin scenario so that no acceleration is involved from start to finish, by the way - have the twins start out already in motion when they synchronise clocks, and then introduce a third traveller who will meet and synchronise time with one of the twins and then rendezvous with the other, all without changing velocity. The acceleration is zero throughout, yet SR predicts that the third traveller's clock will lag behind the second one he meets, regardless of which one accelerated initially. There is no paradox. |
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#124 |
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Muse
Join Date: Feb 2007
Posts: 783
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#125 |
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Zygoticly Phased
Join Date: Nov 2004
Location: Arkham City
Posts: 3,182
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#126 |
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Penultimate Amazing
Join Date: Mar 2008
Location: New Zealand
Posts: 10,983
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So your theory is that the time dilation and length contraction are permanant physical changes that are not caused by velocity but are caused by acceleration?
Which of the dozens of papers are you refering to? And yes: I expect the conclusions in the abstract. That is what the abstract is for. A summary of the tests is also expected. Where are your citations to the experiments that show that time dilation is asymmetrical? Why does SR match the time dilation when it does not cause time dilation? The particles are travelling in a circle under a constant acceleration of 1018 g. This means that their velocity is always changing (that is what acceleration means). Their velocity is known. They are not "coasting". In fact relative to a point outside the muon ring their "absolute" velocity changes sign twice each time that the muons go around the ring. Velocity is a vector. A particle going in a circle is under constant acceleration and their velocity is always changing. Since their acceleration is ongoing what do you think that their tme dilation is? At what rate is the"tick rate" being adjusted while they accelerate? Why does the muon lifetime not get longer as the muons are longer in the ring? Why is the lifetime in the ring the same as muons with the same energy but not going in a circle (i.e. not accelerating) ?In other words why are muons with different acceleration histories but the same energy measured to have the same time dilation? Could it be that the acceleration history does not matter and that it is the difference in velocity than matters? Time dilation only depends on the velocity of the particles as seen in other experiments. You can accelerate them slowly or quickly in any kind of accelerator and you get time dilation that only depends on the velocity between them and the lab. Read some of the papers cited in the web page. See how simple this really is? There are no inconsistancies. There are wonderful symmetries, e.g. observer A measures time dilation for a moving clock according to their clock and observer B at the moving clock measures time dilation for observer A's clock according to their clock. A few of the paers from What is the experimental basis of Special Relativity?
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Real Science: NASA Finds Direct Proof of Dark Matter (another observation) (and Abell 520) "Our Undiscovered Universe" by Terence Witt: Review 1; Review 2 |
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#127 |
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Philosopher
Join Date: Oct 2007
Location: Nova Roma
Posts: 8,435
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Yes.
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You have a very basic misconception about what SR is. Essentially, SR is the claim that all the laws of physics are invariant under Lorentz transformations. Time dilation, Lorentz contraction etc. are all consequences of that claim. GR, and the relativistic field theories used to describe particle physics, are examples of such Lorentz invariant theories. Every time we use them or test them, we are using and testing SR, because SR is intrinsic to them. So if you use GR to calculate something, you're using SR (just like you're also using multiplication and addition).
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You're wrong (and I can prove it mathematically if you'd like). So now will you live up to your end of the bargain and "shut up"? |
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#128 |
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Philosopher
Join Date: Oct 2007
Location: Nova Roma
Posts: 8,435
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Yes.
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You have a very basic misconception about what SR is. Essentially, SR is the claim that all the laws of physics are invariant under Lorentz transformations. Time dilation, Lorentz contraction etc. are all consequences of that. GR, and the relativistic field theories used to describe particle physics, are examples of such Lorentz invariant theories. So if you use GR to calculate something, you're using SR (just like you're also using multiplication and addition).
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You're wrong (and I can prove it mathematically if you'd like). So now will you live up to your end of the bargain and "shut up"? |
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#129 |
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Penultimate Amazing
Join Date: Mar 2003
Location: Central Illinois
Posts: 34,931
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MacM,
I note a common misconception here in your post and it is a very common one about the nature of science and reality:
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All human thoughts, ideas, words and theories are abstracted metaphors, they are semantic idiomatic and self referencing, they are maps that approximate the terrain of experience and observation. All human thoughts, ideas, words and theories are equally true and equally false. They only have meaning through the application of self reference, all of them are approximate placeholders used to make use of common reference. None of them are true in and of them selves. The concept of 'tree' only has meaning in reference to an idiomatic and self referencing set of communications between people. The term 'tree' has no validity in and of itself, it is never absolute, a 'yew' might be a 'tree' or a 'shrub', but a 'japanese split leaf maple' is always a 'tree' although it is often smaller than a 'shrub'. So when it comes to theories, none of them are real, just as words are never real. they only are approximate models of reality. the utility comes in the ability to approximate reality and model it. Further demonstration, 'matter' is mostly empty space, it is not 'solid' (it is made non-penetrable by the repulsion of electrons. But the word electron is what? A model, you can not say that 'electrons' have a physical reality, they are just a word reference and short hand for a bunch of math and thought models. |
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Hell, dynamiting fish in a barrel is more challenging. - Ladewig I suspect you are a sandwich, metaphorically speaking. -Donn And a shot rang out. Now Space is doing time... -Ben Burch You built the toilet - don't complain when people crap in it. _Kid Eager |
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#130 |
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Muse
Join Date: Apr 2009
Posts: 683
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Then please tell us when you expect to graduate highschool.
FYI: To those that might actually care here is a link to GR: http://books.google.com/books?id=-8P...esult&resnum=3 Which states on page 223: Astronauts in a spaceship orbiting the Earth are in free-fall...." On page 224 states: The Einstein form of the principle of equivelence states that inertial and free-falling systems are entirely equivelent." Now I'll now say much beyond just correcting the record here but only to note the arguements against using the SR form of mathematics of V2 - V1 where V2 is orbit velocity to the ECI and V1 is clock surface velocity to the ECI, is not well supported but I choose to not argue the issue of inertial condition and that it would disprove SR because I do agree that vector is an important component part of such calculation. What it boils down to is SR is not applicable to the rotating system but not because GPS is non0inertial. It is inertial. Just to keep you guys straight on physics. QUOTE=MattusMaximus;4660776]"Rotational motion is without force" - huh?! Ever hear of centripetal forces? Or, for that matter, fictitious centrifugal forces? [/quote]Yes you apparently are. Go learn about free-fall vs simple rotary motion of a flywheel. QUOTE=MattusMaximus;4660776]Wrong. There are SR corrections used in GPS because of the motion of the satellites relative to the ground station and relative to each other.[/quote] I'll have a look at your link but before closing this just point out that wiki is hardly a steller source of scientific fact since it is basically a collection of posts by all sorts of people. There is a valuable saying "Don't believe everything you read on the internet." I on the other had have linked an actual book on the subject. As I have stated I too have seen numerous well educated proffessionals, physicits, etc, erroneously claim SR is proven by GPS. Your assertion that the vector calculations are SR is completely false. As I correctly pointed out they are compensation for differential arrival time due to vector of motion. They are not any form of gamma or time dilation compensations. ONLY the ECI frame is used for that calculation. Go learn. |
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#131 |
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Muse
Join Date: Apr 2009
Posts: 683
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Why is it that educated people can be so hard headed and refuse to see the forest for the trees. I clearly have stated that muon time dilation is real but you ignore that it has been found that muon ansitrophy in their velocity relative to earth is a valid basis to calculate our motion in the universe at large i.e. - let me clarify "Demonstrates muon velocity has an absolute motion component" and that time dilation is not just relative to the observer, otherwise you would be required to demonstate the reciprocity mandated by the relative velocity view of Einstien's SR.
The elimination of reciprocity by declaring who has velocity removes the "Relative Velocity" component of the theory. You and most others still srongfully assert that relative velocity causes time dilation. You operate in a void of emperical data to support that assertion. |
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#132 |
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Free Barbarian on The Land
Join Date: Dec 2006
Posts: 6,250
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__________________
"War exists within the continuum of politics, in which play is continuous, and no outcome is final, save for a global thermonuclear war, which might be." - Darth Rotor "Life, like a Saturday afternoon, finds its ruination in purpose." - MdC |
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#133 |
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Muse
Join Date: Apr 2009
Posts: 683
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He He. I'm not surprised to see this pop up. But for those that might care anybody can have virtually anyoneelse listed on this site. That is not to comment one way or the other about the postings.
To make my point here is a subsequent series of posts on the site where a Russian Physicist named Yuri, for which we had a mutual distaste of each other had me listed. I then had him listed by posting a ludricrus paragraph from one of his many books on relativty and physics. ************************************** MacM Registered Senior User (9,477 posts) 05-28-05, 10:36 PM #1 YURIY MAKES CRANK.NET: http://www.crank.net/einstein.html The Model of the World of Vacuum 2005 May 04 ... Einstein was wrong ... "Moreover, as one knows, the brilliant ideas of GRT still are 'beloved corn' of whole contemporary physics: it creates a lot more unanswered questions than delivers explanations. Then on page 10 referring to his own 'Vacuum Theory', which is totally untested and unsupported he makes the following comparision: 'That is the statement, which sounds as an ultimate strong and simple (Does it sounds like some statement from the Bible, does not it?) ...'" In PDF format. http://www.minescience.com/vol_8.htm ------------------ invert_nexus Ze do caixao (9,596 posts) 05-28-05, 11:33 PM #2 Ha! Congratulations, Mac. I don't exactly have any confidence in your Unikef, but this is too funny. Wonder if he'll show up here to defend his non-crankness? Ha!! Hee hee. Chortle. ***************************** FYI: This twit of a person actually left the forum because of his embarasssment. Of equal interest guys look at my posting history. If you think you will wear me down have another thought about that. But for now I need to go to work. Was up most of the night recycling these issues. I may well start to skip those posters that are just repeating their false assertions about GPS, SR or my knowledge and look for intelligent replies or inquiries to further this discussion. I haven't quite reached the bottom of page (2) and I see we have already reached page (4). Have a nice day and be careful about trying to talk down to me. The almost 10,000 posts on that site is only one of several sites to which I have been a member and still post occasionally. Like I have said I have had many years of discussion and debate over these issues. Once the tendancy to assume the worst of me passes you will begin to learn somethings. At least I would hope so and it has been the case many times before. BTW: NOt advocating UniKEF at all here but just to keep the record straight while it is mostly conjecture and commonsense thinking Chapter 7 Calculus for on UniKEF gravity was written for me by Dr Edward Allard, physicist, of infered inventor fame and an aquaintence. Also I have performed actual gravity testing of the UniKEF concept and have gotten positive results. Perhaps more on that if I remain here. |
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#134 |
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Critical Thinker
Join Date: May 2006
Location: Cape Town
Posts: 360
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MacM, perhaps you should look up the Dunning-Kruger effect.
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#135 |
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Penultimate Amazing
Join Date: Mar 2004
Location: Wits' End
Posts: 21,647
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Actually, I have taught Taylor series.
I'm not sure how the gibberish can be because I'm unfamiliar with a part of my professional specialization that you didn't put in the post at all. I stand by my statement. Your math is gibberish. I further submit that YOU are unfamiliar with Taylor series. |
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#136 |
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Penultimate Amazing
Join Date: Mar 2004
Location: Wits' End
Posts: 21,647
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never mind.
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#137 |
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Penultimate Amazing
Join Date: Mar 2004
Location: Wits' End
Posts: 21,647
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#138 |
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Just the right amount of cowbell
Join Date: Oct 2008
Location: Well past Hither, looking for Yon
Posts: 3,504
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Sheesh, doesn't anyone here sleep? Anyway-
I believe that your example misrepresents how SR would be calculated by the "relativists." Evidently you agree: Any conclusion you draw from this misrepresentation is necessarily flawed. If you stop saying that your example proves that GPS doesn't validate SR, then yes. |
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"In times of war, we need warriors. But this isn't a war." - Phil Plaitt |
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#139 |
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Zygoticly Phased
Join Date: Nov 2004
Location: Arkham City
Posts: 3,182
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#140 |
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Just the right amount of cowbell
Join Date: Oct 2008
Location: Well past Hither, looking for Yon
Posts: 3,504
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__________________
"In times of war, we need warriors. But this isn't a war." - Phil Plaitt |
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#141 |
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Muse
Join Date: Feb 2007
Posts: 783
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No. That's not how GPS works. Time dilation is not compensated for with respect to those observers that see the satellites above the horizon. First, it would not be possible, because the satellites are simultaneously visible by many observers with quite different relative velocities, so no matter what you did, someone would always see the GPS clock ticking at an incorrect rate.
But there is a more fundamental reason why GPS clocks can't be set to tick at - even approximately - correct rate with respect to those who see them overhead. The reason is that the atomic clocks in GPS are not there just to measure time intervals during the period you see them above the horizon. The clocks have to keep precise time. They need to be able to tell with great precision what the current time is. And that is in order to tell where exactly they're located at any given moment - in order to allow you to tell where you're located. If you set the clocks to tick at the correct rate when they're passing over your head, they would not be able to keep correct time, because they would inevitably tick incorrectly whenever they drop below the horizon, and the next time they pass over your head, the clock would be off. So what is done is that the GPS time is defined in an inertial system, and corrections are then done to account for distortions due to Earth-based observations. The role that time dilation plays in the accuracy of GPS is that it needs to be accounted for to maintain the time kept by the clocks accurate in the long run, orbit after orbit after orbit. The relative velocity of the satellite when it passes overhead is quite irrelevant to this. If you want to calculate by how much the clock drifts in a day, the whole orbit matters. |
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#142 |
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Philosopher
Join Date: Aug 2007
Posts: 8,905
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Oh, but you have. In your very first post on this thread, no less. Shall I quote it again?
Yes. Yes I shall: See that bit right there? That bit about an "absolute velocity change relative to the other observer"? The terms "absolute" and "relative" are mutually contradictory. This is, what, the fourth time I've brought this up in one form or another? It's the third time I've stated this was a problem for your claims. And it's now the second time I've told you that it needs to be resolved before you can arrive at a correct conclusion. |
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#143 |
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Illuminator
Join Date: Jul 2006
Posts: 4,714
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That's not true. It has not "been found that muon ansitrophy in their velocity relative to earth is a valid basis to calculate our motion in the universe at large". Either you just made that up, or you calculated it incorrectly, or you're citing an incorrect source.
If you disagree cite your sources. |
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#144 |
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Fiend God
Join Date: Oct 2005
Location: In the details...
Posts: 28,980
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For those who don't wish to read all this
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__________________
The Onmyouza Theatre, An unofficial international fanclub forum dedicated to the Japanese heavy metal band Onmyo-Za. "In the interests of time and space, it is not unreasonable to cite one point at a time. Citing 30 is the equivalent of citing none. Obviously." - Robert Prey |
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#145 |
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Fiend God
Join Date: Oct 2005
Location: In the details...
Posts: 28,980
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__________________
The Onmyouza Theatre, An unofficial international fanclub forum dedicated to the Japanese heavy metal band Onmyo-Za. "In the interests of time and space, it is not unreasonable to cite one point at a time. Citing 30 is the equivalent of citing none. Obviously." - Robert Prey |
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#146 |
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Zygoticly Phased
Join Date: Nov 2004
Location: Arkham City
Posts: 3,182
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Hm, I thought that the receiver applied relativistic calculations using ephemerides transmitted by the satellites themselves on the timing data that is being received. Someone upthread mentioned there are a set of 6 classical parameters and a set of 3 relativistic ones. Is that not the case? From that it can determine satellites' locations and then determine the distance it is from them, and then determine it's own position by triangulation.
Are you describing the calculation done to determine the ephemerides? |
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#147 |
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Muse
Join Date: Feb 2007
Posts: 783
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#148 |
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Zygoticly Phased
Join Date: Nov 2004
Location: Arkham City
Posts: 3,182
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#149 |
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Fiend God
Join Date: Oct 2005
Location: In the details...
Posts: 28,980
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Translation: "Holy crap! Someone who agrees with me!"
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The Onmyouza Theatre, An unofficial international fanclub forum dedicated to the Japanese heavy metal band Onmyo-Za. "In the interests of time and space, it is not unreasonable to cite one point at a time. Citing 30 is the equivalent of citing none. Obviously." - Robert Prey |
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#150 |
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Penultimate Amazing
Join Date: Mar 2004
Location: Wits' End
Posts: 21,647
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The clocks in orbit need to know what time a ground based observer thinks it is in order to transmit the proper data to them.
Which means the satellites need to know "proper time" in the ground-based frame. So their clocks are tweaked to run slowly (or so that they would run slowly if they were on the ground) so the time signals they send are synched with what the ground-based clocks expect. |
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#151 |
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Just the right amount of cowbell
Join Date: Oct 2008
Location: Well past Hither, looking for Yon
Posts: 3,504
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The other 3 terms aren't generally considered relativistic AFAIK. They're used to to correct for the perturbations caused by the moon, sun, Jupiter, Earth's actual shape, solar wind, etc.
There are so many things that impact the GPS orbit (or any other orbit) and so little space in the GPS downlink datastream that it's really not possible to downlink the zillion correction terms you'd need to fully represent the orbit. And, for that matter, some of the terms aren't known that well (you should see all the papers on GPS solar pressure models), and there's not much point in downlinking a zillion little tiny correction terms when you're fuzzy on the big corrections. But by adding 3 more terms, they can give a much more accurate representation than they get from just the 6 Keplerian elements. |
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"In times of war, we need warriors. But this isn't a war." - Phil Plaitt |
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#152 |
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Muse
Join Date: Feb 2007
Posts: 783
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My point is, as I said already, that the atomic clocks in GPS are not synchronized to tick at a "correct" rate with respect to an observer that sees them overhead. They are instead synchronized to keep accurate time over extended periods of time (many orbits). This is because they need to be able to tell the current time according to some standard, rather than just measure time interval between two events.
For this reason, your earlier assumption that
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What do you still not understand? |
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#153 |
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Muse
Join Date: Feb 2008
Location: Van Nuys, CA
Posts: 906
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#154 |
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Muse
Join Date: Feb 2007
Posts: 783
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#155 |
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Muse
Join Date: Jun 2005
Location: Sweden
Posts: 523
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I too was confused at first, since China tends to be used as the proverbial place on the other side of the Earth here as well, as in "dig a hole to China" or "run away to China". But checking a globe it turns out to be only about 90 degrees off from Sweden, and about opposite to USA. Figures of speech are wierd.
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#156 |
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Illuminator
Join Date: Dec 2005
Location: Toronto
Posts: 3,053
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__________________
100% Cannuck! |
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#157 |
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Illuminator
Join Date: Jun 2008
Location: The far side
Posts: 4,972
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__________________
![]() What is reality? Nothing but a collective hunch. --Lily Tomlin |
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#158 |
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Muse
Join Date: Feb 2008
Location: Van Nuys, CA
Posts: 906
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#159 |
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Muse
Join Date: Jun 2005
Location: Sweden
Posts: 523
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#160 |
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ETcorngods survivor
Join Date: Dec 2005
Posts: 11,624
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__________________
As long as Comparison is sunk in the urine of one's mind, new glasses will not help. --Doronshadmi. A proud member of the Simpson 15+7, named in the suit, Simpson v. Zwinge, et al., and founder of the ET Corn Gods Survivors Group. By the way, the Nominate button is to your |
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