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Wayward Satellites Test Einstein's Theory of General Relativity (scientificamerican.com)

An anonymous reader quotes a report from Scientific American: In August 2014 a rocket launched the fifth and sixth satellites of the Galileo global navigation system, the European Union's $11-billion answer to the U.S.'s GPS. But celebration turned to disappointment when it became clear that the satellites had been dropped off at the wrong cosmic "bus stops." Instead of being placed in circular orbits at stable altitudes, they were stranded in elliptical orbits useless for navigation. The mishap, however, offered a rare opportunity for a fundamental physics experiment. Two independent research teams -- one led by Pacome Delva of the Paris Observatory in France, the other by Sven Herrmann of the University of Bremen in Germany -- monitored the wayward satellites to look for holes in Einstein's general theory of relativity.

Einstein's theory predicts time will pass more slowly close to a massive object, which means that a clock on Earth's surface should tick at a more sluggish rate relative to one on a satellite in orbit. This time dilation is known as gravitational redshift. Any subtle deviation from this pattern might give physicists clues for a new theory that unifies gravity and quantum physics. Even after the Galileo satellites were nudged closer to circular orbits, they were still climbing and falling about 8,500 kilometers twice a day. Over the course of three years Delva's and Herrmann's teams watched how the resulting shifts in gravity altered the frequency of the satellites' super-accurate atomic clocks. In a previous gravitational redshift test, conducted in 1976, when the Gravity Probe-A suborbital rocket was launched into space with an atomic clock onboard, researchers observed that general relativity predicted the clock's frequency shift with an uncertainty of 1.4 x 10-4. The new studies, published last December in Physical Review Letters, again verified Einstein's prediction -- and increased that precision by a factor of 5.6. So, for now, the century-old theory still reigns.

99 comments

  1. my small brain.. by Anonymous Coward · · Score: 0

    Has still not understood time dilation... Iam ok with space bending..and Iam an greyed engineer..

    1. Re:my small brain.. by jfdavis668 · · Score: 4, Insightful

      This is one of the most stupid arguments I have ever read. You state your opinion, then argue that the concept is wrong since it conflicts with your opinion. Look into muon showers caused by cosmic rays hitting Earth's atmosphere. Taking into account the speed they are traveling and the half-life of a muon, they should never reach the surface. But they do, since they are moving near the speed of light and the time dilation involved means that time is happening much slower from the particle's frame of reference. There is no mechanism involved to slow down.

    2. Re:my small brain.. by ContextSwitch · · Score: 3, Interesting

      Think of a coordinate system with the three usual dimensions (x, y and z) and then one other dimension orthogonal to the other three, this extra dimension is time (t).

      An object at rest describes a vector where x= y = z = 0 and t = c (the speed of light).

      As an object moves the vector rotates to point in a new direction and therefore the resolution of the (now rotated) vector on the t dimension is smaller than when the object was at rest. Therefore as the object moves time passes more slowly for the object. When the object moves at speed c, time stops for the object.

      I leave it for others to translate this model to a gravitational field (it's been too long and I've forgotten).

    3. Re:my small brain.. by Anonymous Coward · · Score: 0

      Indeed. And if two twins separate, with one staying on the Earth and the other riding on the satellite, and one "ages" faster than the other, how can we determine if that is due to "time" being faster or slower as opposed to the speed of the reactions which cause aging being faster or slower, because in the end what is the difference? They're just two different ways of reasoning about the same thing.

    4. Re:my small brain.. by Anonymous Coward · · Score: 0

      It is not just a clock that slows down. All clocks there would slow down, also chemical processes, radioactivity, etc. And all by the same degree.

      As you say, it is possible that gravity slows down the mechanism of the clock but it is unlikely to slow down all clocks (and other processes) by the same amount.

      Also you are right, it is obviously wrong BUT this one of those times when common sense is completely wrong.

    5. Re:my small brain.. by XXongo · · Score: 0

      Einstein's theory predicts time will pass more slowly close to a massive object, which means that a clock on Earth's surface should tick at a more sluggish rate relative to one on a satellite in orbit.

      This is so obviously and absurdly wrong, that it is really astounding. A clock does not measure time.

      To the contrary. Time is defined as that which (ideal) clocks measure.

      If the clock on a satellite moves more slowly, it is because something, in this case gravity, has caused the mechanism of the clock to move more slowly.

      You can, if you like, think of general relativity this way, as long as you keep firmly in mind that gravity will slow down all clocks, regardless of the physical mechanism, including mechanical clocks, biological clocks, the frequency of light emissions from atoms, radioactive decay, and any other possible clock, even using mechanisms you haven't thought of yet.

      (This is emulating Lorentz's thinking, who interpreted the Lorentz time dilation as clocks slowing down,)

      But when you completely understand that this is all clocks that slow down, really it's simpler to think of time as slowing down.

      ... (If a clock, powered by a battery, runs more slowly because the battery has become weak, no one claims that time has slowed down.)

      True enough, but irrelevant. Yes, it is in fact ideal clocks that define time.

    6. Re:my small brain.. by Anonymous Coward · · Score: 0

      Your opinion is that muon showers are reaching the Earth due to time dilation therefore proving that time dilation is real. WTF??

    7. Re:my small brain.. by jfdavis668 · · Score: 4, Interesting

      I said, look into it. In other words, read about it and see if it supports your opinion or contradicts it. Muons are created in particle accelerators. The ones created are moving fairly slowly compared to cosmic rays. We can measure the half life of them before they decay, which is 2.2 microseconds. The ones created by cosmic rays hitting the atmosphere are moving at a speed where the muon should go about 450m before decaying. Yet, they reach the Earth's surface from 60-100 km up where they are created in the atmosphere. The reason they last that long and can move that far is due to time dilation, since they are moving at relativistic speeds.

    8. Re:my small brain.. by meglon · · Score: 1

      Let me guess.... you're an electric universe nutcase cultist who, once again, has been told you're a fucking idiot by reality? Sorry, electric universe bullshit is completely useless shit, and Einstein was right again... and again... and again...

      --
      Fascism: An authoritarian and nationalistic right-wing system of government and social organization. See also: NAZI's
    9. Re:my small brain.. by Anonymous Coward · · Score: 0

      Quoting (from memory) from Brian Greene's The Elegant Universe:

      What is time?

      This is a question physicists have grappled with for a long time, but for our purposes, we will define it as that which is measured by clocks.

      Essentially, he goes on to point out that all clocks in a given reference frame will agree that time is slowed, thus it becomes the most pedantic of pedantry to claim that time is constant, while everything that measures it is slowed.

      In fact, the basis of relativity is that time is NOT constant, the speed of light is. And gets its name from the fact that different observers will measure time an distances differently (while still agreeing on the speed of light). The fact that you post this under a story that heralds "yet another study shows GR correct" is especially ironic.

    10. Re:my small brain.. by jd · · Score: 3, Informative

      That isn't an opinion, that is a prediction. A prediction that is reliable for particles of any given speed. A reliable prediction.

      --
      It's a small world and it smells funny; I'd buy another if it wasn't for the money; Take back what I paid (SoM)
    11. Re:my small brain.. by Anonymous Coward · · Score: 0

      Me fail Physics. That's possible.

    12. Re:my small brain.. by Anonymous Coward · · Score: 0

      Start here: https://youtu.be/1rLWVZVWfdY (youtube: Minute Physics)
      Come back when you've watched the Special Relativity chapters and come back when you get it.

    13. Re:my small brain.. by HiThere · · Score: 1

      IIRC it involves doing a cross-product and projecting the results from a 4-space down to a 3-space. (Unless that was during the part of the derivation that was being done in a 16 dimensional space. If so Eigenvectors are involved which is sort of similar, but leaves you in a vector space rather than returning a scalar.)

      Of course, different modes of derivation use different notations. The one I followed was based on matrices. I hit tensors and bounced two or three times.

      --

      I think we've pushed this "anyone can grow up to be president" thing too far.
    14. Re:my small brain.. by Agent0013 · · Score: 1

      Yes, but all of Einstein's clocks are light beam based. So he says that the speed of light is affected, and time is also. But the time he is measuring is only the time it takes for light beams to travel around in a clock. So it seems to be circular reasoning to me. If you build a clock that rotates, like when the perpendicular line from the base to the peak of Mount Everest rotates completely around the earth one time and points at the same star, it does not change due to gravity. In fact the base and the peak would be at different time speeds, even though it is one object.
      In the end, I don't see how you can say light speed changes, so the change it light speed means time also changed. If the speed changed, then time didn't, or vice versa, you can't say one is caused by the other but the other causes the one also.

      --

      -- ssoorrrryy,, dduupplleexx sswwiittcchh oonn.. -Quote found on actual fortune cookie.
    15. Re:my small brain.. by Anonymous Coward · · Score: 0

      Serious question, could you kindly describe the apparatus used in the experiment which tracks muons created in the upper atmosphere all the way to the surface?
      This is a piece of equipment I really need to see.

    16. Re: my small brain.. by Anonymous Coward · · Score: 0

      Ok great, I'll come back twice. As you suggested.

      Maybe I'll come back ahead of time, just to be sure

    17. Re: my small brain.. by Anonymous Coward · · Score: 0

      Your own religious belief into muons, even though you cannot prove or measure what you describe, shows cracks and logical fallacies all over.

    18. Re: my small brain.. by Anonymous Coward · · Score: 0

      Please describe exact process of "decaying", and what movement with constant speed has anything to do with gravity.
      While at it, explain why relative to muon frame of reference Earth, moving at close to c, does not experience dilation, but instead contraction, and why it is not the other way?

    19. Re: my small brain.. by Anonymous Coward · · Score: 0

      No they don't. But your ignorance is amazing. What he describes has been measured time and again.

    20. Re: my small brain.. by Anonymous Coward · · Score: 0

      Please describe exact process of "decaying"

      It is well described in the Standard Model of particle physics. But it wouldn't surprise me if you claim that is not correct LMAO.

      , and what movement with constant speed has anything to do with gravity.
      While at it, explain why relative to muon frame of reference Earth, moving at close to c, does not experience dilation, but instead contraction, and why it is not the other way?

      Explained

    21. Re:my small brain.. by Anonymous Coward · · Score: 0

      Why do you think that is needed at all?

    22. Re: my small brain.. by Anonymous Coward · · Score: 0

      You are not explaining anything by bringing up the links to rehashed word salad.
      Give hard and sound explanation what exactly is happening with the subject called "muon". If you cannot - go away, I didn't ask for bullshit links.

    23. Re: my small brain.. by Anonymous Coward · · Score: 0

      If you cannot comprehend basic science then you are a lost cause. Not worth spending time on.

  2. Why... by MaryannG · · Score: 1

    ...does there need to be an "answer" to the US GPS? Is there something the EU member want to do that the current GPS network cannot or declines to do?

    --
    Social Media Handywoman at Texas Boys Balloo
    1. Re:Why... by Anonymous Coward · · Score: 1

      > Is there something the EU member want to do that the current GPS network cannot or declines to do?

      Being independent of a warmonger that has all the incentive to scramble GPS when they see fit.

    2. Re:Why... by XXongo · · Score: 4, Informative

      ...does there need to be an "answer" to the US GPS? Is there something the EU member want to do that the current GPS network cannot or declines to do?

      Yes: when President Clinton opened the high-resolution GPS up to all users (instead of just military) in May 2000, he reserved the right of the U.S. to selectively turn off the GPS system in the event of war or another national emergency (specific words were: "capability to selectively deny GPS signals on a regional basis when our national security is threatened"). The Europeans at that point committed to making their own system, which they could control, and turn of when they think it's necessary, not us.

    3. Re:Why... by caseih · · Score: 5, Informative

      There are a lot of reasons for having their own system, including control. But regardless of the reasons, right now there are pieces of five different positioning systems in operation right now. There's GPS (US), GLONAS (Russia), Galileo (Europe), Beidou (China), and QSZZ (Japan). New crops of GPS units, including the very impressive ZED-F9P chip from U-Blox, can see all of these satellites, allowing for more accurate and faster fixes. Also more satellites provides more redundant information for weeding out any bad satellite data, overcoming deliberate jamming, or when a country intentionally degrades the signal. Apparently recently near Georgia and South Carolina there was some GPS jamming going on as part of a naval exercise. Having more systems to work with mitigates this somewhat, although they all use similar frequencies to GPS's L1, L2, and L5 bands.

      And recently the FCC has finally allowed American users of GPS receivers to be able to use these other satellites. Odds are your phone is now using GPS, Galileo, and Glonass for positioning. It's a really a win win for those that rely on this technology. I can't see a downside, either for end users or countries to have more of these systems up and running, other than cost.

    4. Re:Why... by jd · · Score: 3, Insightful

      Yes. GPS has low reliability and is controlled by a lunatic. By having an alternative, high-precision, system that actually works and is not controlled by a lunatic, you have what's called a benefit.

      --
      It's a small world and it smells funny; I'd buy another if it wasn't for the money; Take back what I paid (SoM)
    5. Re:Why... by Anonymous Coward · · Score: 0

      By having an alternative, high-precision, system that actually works and is not *currently* controlled by a lunatic, you have what's called a benefit.

    6. Re:Why... by Anonymous Coward · · Score: 0

      Yes: when President Clinton opened the high-resolution GPS up to all users (instead of just military) in May 2000,

      Selective availability was turned off in 2000, but only the military has the ability to decode L2. As such, civilian receivers can only use L1. Dual frequencies makes doing an ionospheric correction trivial. However, new GPS satellites are being launched which will have a new civilian frequency L4.

    7. Re:Why... by _merlin · · Score: 1

      Yeah, but the more systems you have available, the more chance there is that at least one won't be controlled by a lunatic, or at least one will be controlled by a lunatic who's roughly aligned with your interests today.

  3. Because by sjbe · · Score: 4, Insightful

    Is there something the EU member want to do that the current GPS network cannot or declines to do?

    Yes. Not have an important piece of technology controlled by a (potential) rival nation. Maybe not an ideal reason but NIH is sometimes a strong motivation.

    1. Re:Because by drinkypoo · · Score: 1

      NIH applies to cellular equipment or nuclear weapons. This is "not controlled here". There's no question about whether the US will exercise control over GPS, because we know the answer to be yes.

      --
      "You're right," Fisheye says. "I should have set it on 'whip' or 'chop.'"
    2. Re:Because by jd · · Score: 5, Informative

      It's also much higher precision - by an order of magnitude. The US system cannot be trivially upgraded, you have to replace all of the satellites.

      --
      It's a small world and it smells funny; I'd buy another if it wasn't for the money; Take back what I paid (SoM)
  4. Are they going to put them back? by Anonymous Coward · · Score: 0

    Are they going to keep these two satellites in the wrong place or are they eventually going to move them into the correct place?

  5. Other than predicting any orbits accurately by fadethepolice · · Score: 1

    yes, relativity reigns supreme. Other than not being able to predict the orbits of any stars or galaxies correctly. Look at all this invisible shit over there -> DARK MATTER MAKES MY CALCULATIONS CORRECT!

    1. Re:Other than predicting any orbits accurately by XXongo · · Score: 1

      When orbits have been seen as being perturbed from the calculated orbit, hypothesizing a not (yet) seen object doing the perturbing has been, so far, a pretty good prediction, dating back to the discovery of Neptune based on the perturbations of the orbit of Uranus in 1846: https://earthsky.org/human-wor...

    2. Re:Other than predicting any orbits accurately by jd · · Score: 1

      Stars are predicted just fine, as are galaxies. Don't know what you're bitching about. There are a few exceptions, where the difference is predictable and follows a fixed rule. There is a little uncertainty as to why that rule is there. This may be Dark Matter, MOND, Emergent Gravity, etc. Precisely the same reason Newton's laws broke down. So unless you reject gravity and believe in mutant space weasels pulling things around, that's simply not even remotely passable as an excuse. So go find one that is acceptable.

      --
      It's a small world and it smells funny; I'd buy another if it wasn't for the money; Take back what I paid (SoM)
    3. Re:Other than predicting any orbits accurately by fadethepolice · · Score: 1

      How is it my responsibility to explain the error of someone else's theory? The theory IS a theory of gravity. It does not explain ANY orbits of any stars accurately. YOU can call the discrepency "predictable" but that does not mean it is not there. Simply noting that the theory is incorrect DOES NOT EQUAL me saying space weasels exist. Physicists are the ones point at the invisible shit to explain the 'discrepency'.

    4. Re:Other than predicting any orbits accurately by fazig · · Score: 1

      The wording in your comment makes it sound like Relativity is garbage at even predicting something as simple as planet orbits accurately.

      Do you happen to know a hypothesis that does provide better predictions as a whole?

      That kind of is what physics is about. We choose apply and test the models that have proven to be accurate enough for a lot of things. And then you may have some exceptions here and there.
      There's probably a good deal of trust in Relativity because the models provided by relativity are serving us pretty well.

    5. Re:Other than predicting any orbits accurately by fadethepolice · · Score: 1

      From what I can see it does predict planetary orbits correctly. It's the whole rest of the cosmos it is inaccurate about. The bottom line -the whole reason for dark matter- is that relativity is incapable of predicting something as simple as the rotation of a star about it's galactic center. If the model of relativity is incapable of predicting the motions of any stars or galaxies then it is not serving well or accurately. How can you say there is trust in a theory that is 100% wrong all of the time? If you trust relativity, can you name any stars whose motions it predicts accurately? I challenge you to name any star that relativity can predict accurately and does not involve the inclusion of invisible stuff into the equation. If your invisible stuff is 96% of the universe then your shit is just wrong bro. You are the one that believes in space weasels.

    6. Re:Other than predicting any orbits accurately by Anonymous Coward · · Score: 0

      Does it have to be weasels?
      I'm more of a turtle fan.

    7. Re:Other than predicting any orbits accurately by fazig · · Score: 1

      In my line of work its predictions are right perhaps 95% of the time when I work with inertial navigation systems and GPS. And in those other cases it is usually human, hardware, or some other external influence that leads to inaccuracies.
      Not being able to predict orbits of objects lightyears away with accuracy is mostly irrelevant for me for example. If you have a better explanation for the rest of the cosmos and can't also account for the relativistic effects of motion and gravity, your model won't be useful for me. But that's just my line of work. It does not rely on the existence of something like dark matter or dark energy in the first place.
      Further I would assume that it is irrelevant for most people who are not in the field of astronomy/astrophysics and associated fields and of course some nerds like us.
      Therefore saying that it is 100% wrong all of the time is a bit exaggerated.

      A hypothesis in physics does not need to be 100% accurate either to be of use.
      For example we still use Newtonian Physics where applicable, even though they don't tell the entire story.
      We still heavily rely on Maxwell's Equations, even though they don't tell the entire story.
      Why? They all provide accurate enough predictions in certain fields. Not being able to answer everything does not invalidate their usefulness.
      Conversely we're using Relativity and Quantum Physics where it suits us.

    8. Re:Other than predicting any orbits accurately by fadethepolice · · Score: 1

      So no star was named. Relativitiy has a 100% failure rate for describing 99.99999% of the cosmos. (basically anything not sitting within 5 AU of the earth) All I'm saying is that precludes it from being celebrated as a foundational theory of the cosmos that is revered for it's accuracy. That is in no way to take away from the discovery of the theory of time dilation. I wonder though, how exactly do you use relativity for calculating GPS? I use GIS a lot. As far as the Lorentz transformation used to calculate time dilation in the case you are working in with these GPS Satellites, I went through the math about 10 years ago and I'm not sure the equations are saying exactly what everybody thinks they are saying. As far as implications on objects at different speeds. Just because you have not experienced the wave from an object yet does not mean that causality occurs wehn you feel it. They've got causality wrong there.

    9. Re:Other than predicting any orbits accurately by fazig · · Score: 1

      Well, time dilation and length contraction are part of Special and General Relativity. And that's exactly what those wayward satellites affirm. At least these particular news are not about some grand theory of the cosmos. That is until you brought up relativity reigns supreme.

      The mathematics and the current system is enough to give us a certainty of about 5m, which is used in conjunction with various types of accelerometers and fibre optic gyroscopes. Accurate enough. We probably would be able solve deviations through time dilation through a lot of measurements using numerical methods, but from what I see, the math we'd approximate is what we already have.

      So what do you think the equations are saying exactly? What predictions would your hypothesis make? How would you propose to test your hypothesis?
      I mean how would we receive information about something before its information reaches you, which propagates at the speed of light?
      So far all FTL phenomenons (like tunnelling) involve loss of information or have not successfully been used for transferring information (entanglement).
      This also isn't an all or nothing thing. If I remember correctly even Einstein himself stated that he does not know for sure whether space and time or actually contract. But it for all intents and purposes we perceive the universe like it does work that way.

      That's true for pretty much all physical models. It's mostly convenient mathematics to describe some aspects of the universe.

    10. Re:Other than predicting any orbits accurately by Anonymous Coward · · Score: 0

      Relativity predicts galactic rotations perfectly. We can see the gravatational warping of space around the edge of the galaxies as caused by the Dark Matter phenomena, regardless of what causes it, and relativity matches perfectly. We can measure gravity via gravitational lensing perfectly fine and relativity can tell us how much energy there is in that location.

      Dark Matter is a form of energy that does not move anywhere near the speed of light. We can see this, aka measure this. What we can't do is interact with it in any other way than gravitationally. Even then, the interaction is so small that we may not be able to measure it at earth bound levels. The only known forms of energy that don't move at the speed of light are forms of matter. By that definition, Dark Matter is an unknown form of matter. It is possible we may make a whole new term for it since it's clearly not baryonic matter.

  6. Gravitational redshift vs expansion redshift by aliquis · · Score: 1

    I haven't heard of the former. I already assume there's no conflict with the claim that the universe is expanding because distance light is more red than expected but I just kinda want to confirm. Is that so? =P

    Once upon when learning about gravitational waves / bosons / whatever there was something I wondered but eventually forgot. I hate that because I wanted to have it answered =P

    1. Re:Gravitational redshift vs expansion redshift by HiThere · · Score: 1

      Gravitational redshift was the first version predicted, and has been more thoroughly tested. Expansion based redshift was predicted later, and is harder to test directly (because we lack a time machine + FTL drive so we can't look at the same source from two significantly different times and places). But it's passed every indirect test so far.

      In a way, this is a pity, because we know that either relativity, quantum theory, or both are flawed, because they differ in their predictions over things we have no way to observe. But since we have no way to observe the predicted events, we don't know which is predicting things correctly. It's frustrating when you know the theories are incorrect, but they keep making only correct predictions.

      --

      I think we've pushed this "anyone can grow up to be president" thing too far.
  7. Mine bitcoins in asteroids by aod7br7932 · · Score: 1

    So, if I mine bitcoins far from the sun and earth... I will get more bang for my cpu cycles ;)?

    1. Re:Mine bitcoins in asteroids by HiThere · · Score: 1

      Well, far from the sun would help, but if you're also far from Earth you'll need to find some other way to shed heat. Radiation is pretty slow unless you build a huge emitter, and use a heat pump to move the heat from your CPU to the radiator.

      --

      I think we've pushed this "anyone can grow up to be president" thing too far.
  8. Special relativity vs. general relativity by omfglearntoplay · · Score: 2

    So I was wondering about the time slowing effect of the speed of the satellites vs. our on the surface of the Earth closeness time slowing effect. So the effects partly cancel each other out. General relativity is the norm/aka the general rule (with gravity comes acceleration) and special relativity is the special case one I learned in high school where speed with no acceleration slows down time. I really love this stuff.

    This guys explains it well I believe:

    https://www.quora.com/If-an-at...

    Quote:
    "Keith Norfolk
    Keith Norfolk, former Educational Specialist at European Space Agency
    Answered Aug 22, 2017 Author has 250 answers and 87.4k answer views

    There are actually two effect that (partly) cancel each other. Yes, the satellite is moving at a particular speed and than means that from Earth its clock will run slower (according to special relativity). However it is also higher in the Earth’s gravitational field and this is the domain of general relativity is needed (special relativity is only valid in inertial reference frames (i.e. no acceleration and no gravitational differences). According to general relativity, time deep in a gravitational well will run slower and so, reversing the reasoning, time for the satellite (that is higher in the gravitational well) will run faster.

    From the point of view of an observer on Earth the two effects partly cancel each other but not fully and so there is a time rate difference for the satellite and the observer on Earth. This is why GPS satellite clocks have to be set to the ‘wrong’ rate in the factory so that they will run at the right rate when operating on orbit.

    Curiously, the higher the satellite is, the greater the rate differential is for the gravitational effect. However the higher the satellite is the slower its orbital velocity will be and so the smaller the special relativistic effect will be. So, there should be an orbit at which the two effects exactly cancel each other out. Now that would make an interesting question!

    By the way, it is not that there is Special Relativity on the one hand and General Relativity on the other. Special Relativity, as I said earlier, is only valid if there is no acceleration. General Relativity allows for situations where acceleration (e.g. gravitational fields) are present. Special relativity is a special case not the general case. That’s where the two names come from!"

    1. Re:Special relativity vs. general relativity by jd · · Score: 1

      Earth has no significant acceleration and relativity only applies in an accelerating frame of reference.

      --
      It's a small world and it smells funny; I'd buy another if it wasn't for the money; Take back what I paid (SoM)
    2. Re:Special relativity vs. general relativity by XXongo · · Score: 2

      Earth has no significant acceleration and relativity only applies in an accelerating frame of reference.

      Huh?

      Gravitational time dilation is the g_00 term in the metric, in which the deviation from 1 is proportional to gravitational potential. You get the same time dilation whether you are deep in a gravity well at high surface acceleration or at low. (In fact, you would get gravitational time dilation even if you were at the exact center of a planet, where acceleration is zero.)

    3. Re: Special relativity vs. general relativity by Anonymous Coward · · Score: 1

      There are actually special- and general-relativistic effects that need to be taken into account, though. The fact that the satellites are in motion relative to the ground means that the clocks run slow by 7 microseconds/day, but the fact that they experience a lower gravitational field means that they would run fast by about 45 microseconds/day. So, combined they're fast by 38 microseconds/day.

    4. Re:Special relativity vs. general relativity by Anonymous Coward · · Score: 0

      I'm a bit confused about some wording, but overall understand the abstract concept of the two different effects canceling one another to differing degrees. According to relativity, orbit is an inertial reference frame. Orbit is just a geodesic through curved space time and experiences virtually zero acceleration for all situations not near a crazy strong gravitational gradient.

      Of course from each other's views, the other is moving, but only the satellite is in an inertial frame. Only objects at rest on the earth or experiencing atmosphere drag really are accelerating much. A free fall in a vacuum is the closest to a perfect inertial frame one can achieve.

  9. Re: Mein Kampf by Anonymous Coward · · Score: 0

    Yes, she always said "Heinrich, neber üsen die Simpel wehn der Final ist besst"

  10. How elliptical are the orbits, I wonder. by rnturn · · Score: 2

    I'd love to find a source of ephemerides for their satellites. It'd be interesting to plug it into the GPS coverage software I wrote back in the '80s. Just to see for myself how "useless" the Galileo system is because of this $11B screw-up.

    --
    CUR ALLOC 20195.....5804M
    1. Re:How elliptical are the orbits, I wonder. by caseih · · Score: 3, Informative

      Apparently this data can be found in RINEX format here: ftp://gssc.esa.int/gnss/data/h....

      Despite these satellites being lost as far as the constellation usability is concerned, the ESA plans to have the system completed by 2020, and that would mean 100% coverage across Europe and most of the world. Right now my phone uses Galileo as well as GPS and Glonas. I just noticed that Glonas reports nearly 100% coverage of the globe right now also.

      Some of the GPS units I'm working right including the U-Blox M8T with RTKLIB and the ZED-F9P (integrated RTK) see satellites from GPS, Glonass, Galileo, Beidou, and QZSS. In fact I was able to briefly get an RTK fix on my M8T (Reach RS+) using only Beidou observation data from my base unit, apparently. With cheap receivers like the ZED-F9P, lots of satellite constellations, it's really a golden age for low-cost, high-accuracy GNSS work for agriculture, drones, etc.

  11. Allais Effect, Micheson-Morley, Stationary Earth by Anonymous Coward · · Score: 0

    For this reason, God sends them a powerful delusion(operation of wandering)(planet) so that they will believe the lie.

    Mystery Red of the Great American Eclipse
    It has blood on it!
    ABCNews: Eclipse makes pendulum wander
    Losing my religion

  12. Ephemeris by Anonymous Coward · · Score: 1

    Ephemeral data from NASA Here:
    https://cddis.nasa.gov/Data_and_Derived_Products/GNSS/broadcast_ephemeris_data.html

    Free on-line trial of STK here (need to create an account)
    http://licensing.agi.com/stk/

  13. To check for oddities by foxalopex · · Score: 2

    At this point with all the overwhelming evidence, most would agree that Einstein is probably correct. The reason they keep doing things like this is to see if they can find something unusual or unexpected. It's often the weird / unexplained phenomena that leads to new theories or even technology that we can use. So yes, it seems redundant but it's how new things are discovered.

    1. Re:To check for oddities by Anonymous Coward · · Score: 0

      At this point with all the overwhelming evidence, most would agree that Einstein is probably correct.

      Not a physicist, but has a single experiment ever shown that relativity isn't working as Einstein explained it?

      From what I understand, he's got a pretty perfect track record, and not a single thing has ever said "nope, relativity missed the mark here".

      Which, when you stop and think about how he did this stuff with a chalk board and thought experiments, it's utterly amazing to me that nothing has ever refuted his theory.

    2. Re:To check for oddities by HiThere · · Score: 1

      No. Nobody knowledgeable would assert that Relativity is correct. Just that every prediction that it has made that we have checked is correct.

      The problem is that Quantum Theory has a track record at least as good as Relativity, and they disagree about predictions for some things we can't check. So one of them has to be wrong.

      OTOH, they are both extremely, extremely, extremely good theories. They've both been checked in a huge number of instances, and they've both passed every check. They are both used in building really delicate and complex gadgets, and they work fine. But at least one of them is wrong.

      OTOH, there are problem that need explanation. "Dark Matter" and "Dark Energy" are both labels for things that have never been seen or detected, and we don't know why, or what they are. Some of the effects they are used to explain can be put down to the asymmetrical distribution of matter, but how much is too difficult to calculate...however it sure doesn't look like that can explain it all. Every theorized candidate for "Dark Matter" has failed to show up where experimenters were hoping to find it.

      When the theory says "If you see this effect, then it can be explained by something with these characteristics in that location" it sounds good. But if the characteristics aren't something you can directly detect, then it's a lot iffier.

      Because we know there's something wrong, people keep building alternative theories. But these theories have to make an ungodly number of exactly correct predictions to rate serious consideration. And they need to predict something sufficiently different from the current theory which is both correct, and reasonably testable. Also, when people spend a lot of time on any particular theory, they tend to become invested in it, and interpret evidence in a biased way. (This is predicted by the Bayes probability model, and there doesn't seem to be any way around it. Different preconceptions can result in the same evidence yielding incompatible conclusions. The only way out is to alter the priors and then rerun the calculation. But altering someone's priors is quite difficult, as they accept them as the truth.)

      --

      I think we've pushed this "anyone can grow up to be president" thing too far.
    3. Re:To check for oddities by Tough+Love · · Score: 1

      Everybody knowledgeable agrees that relativity is peculiar.

      --
      When all you have is a hammer, every problem starts to look like a thumb.
  14. Scientific Fact by Roger+W+Moore · · Score: 4, Informative

    Your opinion is that muon showers are reaching the Earth due to time dilation therefore proving that time dilation is real.

    It's not his opinion, it is established scientific fact. A muon at rest decays with a lifetime of 2.2 microseconds. Travelling at the speed of light this means that, without any time dilation, the muon would travel 3e8*2.2e-6 = 660m. However, muons are typically generated at around 15 km about the surface and we also see a lot coming it at angles meaning that they have travelled even further than this.

    Looking at muons produced directly overhead, which have the shortest distance to travel, without time dilation this is well over 22 lifetimes and so the probability of survival of 1.35e-10. This will be even lower for muons produced at non-vertical angles and so have to travel further. We observe a rate of 1 muon per second per cubic centimetre at the Earths surface so to produce this rate without time dilation we would need such a high intensity of cosmic rays (comparable to early accelerator beam intensities) hitting the atmosphere that plane travel and mountain climbing would be death sentences from the massive radiation at altitude.

    The lack of acute radiation sickness in pilots and mountain climbers therefore conclusively rules out that the muon lifetime does not change with relative speed. From our point of view the muon's lifetime is dilated by relativity. From the muon's point of view, the thickness of the atmosphere is Lorentz contracted making it appear far thinner to the muon.

    1. Re:Scientific Fact by HiThere · · Score: 1

      I really have trouble with the phrase "established scientific fact". There is no such thing even possible. What can be shown is that repeated tests have not revealed any exceptions that can't be explained by known or suspected external causes (which need to be identified and listed).

      I know that it's often used as short-hand by people who understand what is really meant, but when read by those who don't understand it tends to lead to confusion, and fixated beliefs. So it's dangerous short-hand, yielding aid and comfort to demagogues of all stripes.

      --

      I think we've pushed this "anyone can grow up to be president" thing too far.
    2. Re:Scientific Fact by Anonymous Coward · · Score: 0

      It's not his opinion, it is established scientific fact.

      Wrong again. While it is not an "opinion", his statement is a fact that is wrong, a false-fact.

      An "established scientific fact" is when you say "Doing A causes B" followed by each and every time anyone does A, then B always happens without fail. Never does B not happen, and never anything but B.

      In this case, idiot anon did A and B happened, and he is claiming B did not happen.
      He knows B happened, and is simply stating a lie.

      An opinion is something internal to a mind and can't be proven.
      A fact is something in the real world that can be proven.
      A false-fact is something in the real world that could be proven but hasn't been, or been proven incorrect.

      His claim is that time can't slow down, yet he can't demonstrate any single instance where time hasn't slowed down, and in 100% of cases time should slow down it has.

      That isn't an opinion or an established fact. That even he knows his statement is incorrect is what makes it a lie.

    3. Re:Scientific Fact by Roger+W+Moore · · Score: 1

      Wrong again. While it is not an "opinion", his statement is a fact that is wrong, a false-fact.

      You have things confused. The statement that the OP was claiming was an opinion was "muon showers are reaching the Earth due to time dilation therefore proving that time dilation is real". This is most definitely true.

  15. What incompetence by Anonymous Coward · · Score: 0

    Couldn't put their satellites in the proper space despite satellite launches being so incredibly common. Guess it's not surprising given it's the EU. "yeah? we'll have our own location satellites! with location drift and hookers!"

  16. Time and Space by Roger+W+Moore · · Score: 1

    A clock does not measure time. Time is a concept. Not a thing.

    Time is not just a concept it is part of the physical reality of the universe in the same way that space is. Indeed, relativity tells us that space and time and both relative.

    If the clock on a satellite moves more slowly, it is because something, in this case gravity, has caused the mechanism of the clock to move more slowly. Time has not slowed down.

    Part right but part wrong. If you were stood next to the clock you would not notice any difference in the tick rate so, in one sense, the clock has not slowed down. However, if you are somewhere else deeper or higher in the gravitational well of the Earth, or the clock is moving relative to you, then you will see that the ticking of the clock is now slower. This will happen irrespective of the clock mechanism.

    The reason for this is that time and space are relative. Gravitational fields and relative motion both rotate the space-time axes of the distance clock relative to your own. This means that part of the clock time direction now lies along your space dimension. If you imagine that I am holding a piece of paper in front of you and then rotate it so that the top of the paper moves away from you and the bottom moves towards you then, if you were unable to perceive depth, it would look as if the paper were now shorter. This is what is happening here only the length dimension is rotated into your time direction so you cannot see it in the same way and it apears that the clock is now shorter. For the time component, this "shortening" is seen by you as an apparent slowdown of time for the clock.

    1. Re:Time and Space by Anonymous Coward · · Score: 0

      Time is definitely a thing because I am constantly buying more of it for my project deadlines and I can calculate the specific cost of the time I am buying. If we ever build a space vehicle capable of accelerating at a constant 1G way from earth for to years ship time and reverse course back to earth you will see exactly what relativity looks like in the real world. And did the Europeans do anything to correct their problem with the satellites orbits? That bonehead move rivals putting the Hubble telescope in orbit with the primary lense installed backwards.

    2. Re:Time and Space by Tough+Love · · Score: 1

      Time and space are relative because velocity is finite. Velocity is finite because time and space are relative. It's beautiful.

      --
      When all you have is a hammer, every problem starts to look like a thumb.
  17. Re:Allais Effect, Micheson-Morley, Stationary Eart by Anonymous Coward · · Score: 0

    Ain't not space bcuz ain't not glob earth

  18. Re:Allais Effect, Michelson-Morley, Stationary Ear by Anonymous Coward · · Score: 0

    Is glob earth.
    Ain't moving.

  19. Re: Einstein was everyone by Anonymous Coward · · Score: 0

    Bajahahahhah

  20. I would rephrase by lamer01 · · Score: 1

    Neither of them is totally right. They are not necessarily wrong either.

  21. Your mama's so fat... by Anonymous Coward · · Score: 0

    ...her watch runs slow.

  22. Re:Just ask Melania by Anonymous Coward · · Score: 0

    His ties aren't really that large.

  23. Trumps so dense by Anonymous Coward · · Score: 0

    he makes four years feel like eight.

  24. making the best of a bad situation by sad_ · · Score: 1

    i love it!

    --
    On a long enough timeline, the survival rate for everyone drops to zero.
  25. Then there are no facts by Roger+W+Moore · · Score: 1

    I really have trouble with the phrase "established scientific fact". There is no such thing even possible.

    Don't be daft. Relativity, which is what explains the muon's survival, is the most precisely tested physical law that has ever existed. If you cannot call this "a fact" then absolutely nothing is a fact, scientific or otherwise, because there is nothing else which has been tested and confirmed to such an amazing degree of precision. Even if this fact is not absolutely right any change due to new physics will be at a tiny level (less than one part in a quadrillion) because that is about the level of accuracy we have tested relativity to. How often can you be sure of a fact to that degree of certainty?

    1. Re:Then there are no facts by HiThere · · Score: 1

      The fact is the observation of the muon. Relativity is the explanation used to explain it. One is a fact, the other is a theory. Facts can never be refuted. Explanations of facts ("a small epileptic attack caused the UFO siting") can (at least in principle) be shown to be incorrect. They can never be shown to be correct.

      --

      I think we've pushed this "anyone can grow up to be president" thing too far.
    2. Re:Then there are no facts by Anonymous Coward · · Score: 0

      Sorry dude, but you are wrong. That is not how the scientific method works. The whole point behind scientific "facts" is that they are refutable. Not that they have been, but that you could.

      Secondly, relativity does not explain the muon, the Standard Model of particle physics does.

    3. Re:Then there are no facts by Anonymous Coward · · Score: 0

      Don't be daft. Relativity, which is what explains the muon's survival, is the most precisely tested physical law that has ever existed.

      Well, the standard model rivals it

    4. Re:Then there are no facts by HiThere · · Score: 1

      If you have been following the argument, it requires BOTH relativity and quantum theory to explain why those muons were detected where they were.

      And I also disagree with your first paragraph. Read my prior post, as you don't seem to have read it before. A fact is not a theory, and conversely. A theory is an explanation for a fact. It may or may not be the correct explanation, and the theory that explains any particular fact will almost(?) always need to be a union of less specialized theories (plus a few rules of inference). Theories are (well, often are) the interface between math and observation. So one has the EGW Multi-world theory that is an explanation (interpretation) of the observations that justify quantum physics. But in that particular case (as often) several different mappings from the observations into human mental processes are possible. In this particular case the different mappings are generally called different interpretations. They all use the same physical phenomena (observations) as their starting point, and in this case they use exactly the same math to describe the observations. Then they interpret the math in different ways. But the interpretation is not allowed to alter either the observations or the math.

      --

      I think we've pushed this "anyone can grow up to be president" thing too far.
    5. Re:Then there are no facts by Anonymous Coward · · Score: 0

      There are no "facts" in science. There are observations and hypotheses and theories (verified hypotheses). I cringe when people use the term "scientific fact".

      As to EGW Multi-world and other "theories". They are not theories but hypotheses. It is however common in every-day language to use them interchangeably, but that is not ok in real science, because a theory is something that is observed to be correct.