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Einstein Pedometer App Measures Relative Time Gain

cylonlover writes "Among other things, Einstein's theory of special relativity says that as an object's velocity increases, time as experienced by the object will slow down when compared to another object traveling at a lower velocity. This means that a 'relatively' short round trip on a space ship traveling at close to the speed of light would see you arrive home having aged less than those back on Earth. While the greater the velocities involved, the greater the effect, the theory applies to all relative movement. Now there's an iPhone app that will let you know just how many extra nanoseconds you've gained by getting moving as opposed to sitting on your rear end."

148 comments

  1. I used the extra 300 femtoseconds by Anonymous Coward · · Score: 5, Funny

    To beat you guys to first post. Bah!

    1. Re:I used the extra 300 femtoseconds by a_nonamiss · · Score: 2

      Wow a witty and topical first post. My hat goes off to you good sir.

      --
      -Arthur
      Cave ne ante ullas catapultas ambules
    2. Re:I used the extra 300 femtoseconds by Anonymous Coward · · Score: 0

      Yeah? I'll show you. I'll walk backwards and get LAST post!

  2. You gained none... by sznupi · · Score: 2

    It doesn't matter much how the time in your frame of reference relates to times of "stationary" observers; it's still the same amount of time for you.

    Of course, the gain (and much larger than nanoseconds) might be there vs. just sitting on your rear end. But it depends greatly on the type of movement, for example whether it involves regular exercise.

    --
    One that hath name thou can not otter
    1. Re:You gained none... by Chris+Burke · · Score: 3, Funny

      It doesn't matter much how the time in your frame of reference relates to times of "stationary" observers; it's still the same amount of time for you.

      True! But it does bring the future to you that much quicker. And let me tell you, from my perspective of a person from a few nanoseconds ago, the present-ne-future is an amazing place!

      --

      The enemies of Democracy are
    2. Re:You gained none... by laejoh · · Score: 1

      Lateral thinking; what if I would sit on the read end of someone else?

    3. Re:You gained none... by digitig · · Score: 1

      It doesn't matter much how the time in your frame of reference relates to times of "stationary" observers; it's still the same amount of time for you

      True, but you'll look younger to your peer group. Of course, the effect is negligible -- so the cosmetics and pharmaceutical industries will be marketing this PDQ.

      --
      Quidnam Latine loqui modo coepi?
    4. Re:You gained none... by stealth_finger · · Score: 2

      Lateral thinking; what if I would sit on the read end of someone else?

      You get AIDS

      --
      Wanna buy a shirt?
      https://www.redbubble.com/people/stealthfinger/shop?asc=u
    5. Re:You gained none... by c0lo · · Score: 1

      Lateral thinking; what if I would sit on the read end of someone else?

      Sitting on your top end changes something in the equation?
      Anyhow, I'm relatively better if I'm sitting on my rear end in a car travelling at least 10 times faster than I'm walking.

      --
      Questions raise, answers kill. Raise questions to stay alive.
    6. Re:You gained none... by bberens · · Score: 1

      As a person who is from a few nanoseconds into your future let me just say: wait until you see what happens next!

      --
      Check out my lame java blog at www.javachopshop.com
    7. Re:You gained none... by Anonymous Coward · · Score: 0

      soo.... you'd have to have two pedometers for it to work -- one to take with you and one to leave behind?

    8. Re:You gained none... by magarity · · Score: 1

      soo.... you'd have to have two pedometers for it to work -- one to take with you and one to leave behind?

      Is a pedometer only a pedometer when you take it for a walk? What is the one left behind, a sitometer?

    9. Re:You gained none... by Dunbal · · Score: 1

      Like say, flying in an airplane across an ocean will "gain" you more time than you can ever hope to acquire by walking. Not to mention all the time the average human spends driving or being driven at 30-60mph - rendering the use of such a device moot. But still the sedentary frequent flier will not necessarily live longer than the reasonably athletic non flier...

      --
      Seven puppies were harmed during the making of this post.
    10. Re:You gained none... by caitsith01 · · Score: 1

      It doesn't matter much how the time in your frame of reference relates to times of "stationary" observers; it's still the same amount of time for you.

      Of course, the gain (and much larger than nanoseconds) might be there vs. just sitting on your rear end. But it depends greatly on the type of movement, for example whether it involves regular exercise.

      Can someone explain to me how if I walk around and you stay "still" we aren't moving at the exact same speed relative to one another?

      --
      Read Pynchon.
    11. Re:You gained none... by uninformedLuddite · · Score: 1

      I bet you are the designated driver.

      --
      The new right fascists are bilingual. They speak English and Bullshit.
    12. Re:You gained none... by sznupi · · Score: 1

      Read about the (solution to apparent, at first sight) twins paradox.

      --
      One that hath name thou can not otter
  3. relative to what? by ron_ivi · · Score: 2

    Wouldn't this "gain" depend on which direction you're walking - along with the rotation of the earth, or against it?

    Or if you're comparing to non-earthly reference points - along with the revolution around the sun & galaxy or against them?

    1. Re:relative to what? by Anonymous Coward · · Score: 1

      Not only that, the moment you accelerate you switch inertial frames, thus special relavitity no longer applies, the clocks converge and you gained nothing. Refer to the twin paradox.
      http://en.wikipedia.org/wiki/Twin_paradox

    2. Re:relative to what? by Ironhandx · · Score: 1

      Relative to the speed of light. Meaning walking saves you a nearly infinitesimal amount of time.

      Theoretically, as you get closer to the speed of light, time should slow down for you. Hence all the mumbo jumbo about a flight to Alpha Centauri taking maybe 50 years, but at that speed it would only be 20 years to the people doing the traveling. Those numbers are no where near accurate, but hopefully you get the idea.

      While not an expert in the field, obviously, I myself harbor serious doubts as to the accuracy of this particular portion of relativity. Given its nature it will be quite a while before it can be fully proven/disproven as well.

      Yes, yes. I know the maths line up but the maths have lined up for other things that turned out to be wrong.

    3. Re:relative to what? by sznupi · · Score: 1

      Time dilation is proven to you every time you use a friggin' GPS; a system which wouldn't work without taking the effect into account (also...)

      --
      One that hath name thou can not otter
    4. Re:relative to what? by sznupi · · Score: 1

      The effect stems from relative differences in speed of object in question vs. chosen frame of reference, it essentially (*) doesn't matter "in which direction you spin" or other scifi mumbo-jumbo ( * it sort of might when you take into account how the space itself is being dragged by rotating object, particularly a massive and compact one)

      --
      One that hath name thou can not otter
    5. Re:relative to what? by wanerious · · Score: 1

      You should rest easy! It's been confirmed directly using planes and atomic clocks: http://en.wikipedia.org/wiki/Hafele%E2%80%93Keating_experiment as well as in observed ratios in muon detections from cosmic rays and in the operation of particle colliders like the LHC and at Fermilab. Also, interestingly, it is what is ultimately responsible for magnetic fields. The fact that you can stick these things to your fridge is a consequence of time slowing down and space shortening for charges in motion. It's fascinating.

    6. Re:relative to what? by Cytotoxic · · Score: 4, Interesting

      It isn't just about math. These effects have been proven experimentally - just not by sending a human off to Alpha Centauri. Follow the references for more relativity fun. I personally find length dilation to be the most interesting and difficult to get my head wrapped around.

      Fun thought experiment:

      A 100m rocket speeds toward a 90m hangar building at .99C. As the rocket passes through the open doors of the hangar the operators of the building close both sets of doors while the rocket is entirely inside the building. This is possible because of the length dilation happening at the high relativistic speeds (the rocket is compressed to less than 90m from the view of the hangar).

      But from the point of view of the ship, it is the hangar that is approaching at .99c. Therefore the hangar is foreshortened - even shorter than 90m - leaving more than 10m too much rocket hanging out. What do each of the door operators and the pilot of the rocket see happening?

      This is a fun use for all that math you learned to figure out relativity. Even though both frames of reference see things in entirely incompatible ways, both versions of the truth are entirely consistent via relativity.. Fun!

    7. Re:relative to what? by Charliemopps · · Score: 1

      no.
      The article very poorly described the way relative velocity works.

      While moving relative to another object/person, time slows for you relative to that object/person, not relative to all of space/time. When you return, you are in their future. Time dilation relating to the Sun/Earth/Galactic center are all different depending on your velocity in relation to those objects.
      So, for example, if there are 3 people, 1 remains at rest on earth, the 2nd travels away at 25% the speed of light, and a 3rd travels in the same direction at 50% of the speed of light, if both the travels turn around and come back, all 3 people, the person at rest and the 2 travelers will all have aged at different rates. Even the 2 travelers have aged differently from each other.

      At that point you start asking questions that will take a lot more space than Slashdot allows for a post to answer.

    8. Re:relative to what? by Richard_J_N · · Score: 1

      Not quite sure you've got this right. Switching inertial frames doesn't "make the clocks converge". What happens is that, because the twin who moves away and then returns is doing an intertial-frame swap (he has to accelerate when he turns round to come back), we can break the symmetry and define him as the one who "moves". this symmetry breaking is why it isn't just "all relative". So the one who moves is the younger. (But time passes more slowly for him; he doesn't get to have "any more fun"). BTW, SR is actually quite straightforward - you just have to understand it as a way of doing co-ordinate transformation between two frames.

    9. Re:relative to what? by donscarletti · · Score: 1

      Methinks you did not read that article so well. The twin paradox is not a paradox precisely because it is the swapping of inertial frames which is causing the apparent time dilation to begin with.

      --
      When Argumentum ad Hominem falls short, try Argumentum ad Matrem
    10. Re:relative to what? by Ironhandx · · Score: 1

      Well then, thanks for all the responses showing how wrong I am >_.

      Its something that has never stuck well with me however. I believe that with the evidence its probably(99.9e10^20 %) right, but won't be terribly surprised if they discover some other weird QM effect or something that causes the evidence to appear like what we think should confirm the theory. Basically I'm cynical about it. So sue me.

      All the rest of that stuff is really cool though. Never knew the thing about the magnetic effect. Wouldn't that stuff also go a long ways towards figuring out exactly what gravity is?

      *hopes for links explaining exactly what gravity is*

    11. Re:relative to what? by Lanczos · · Score: 2

      The problem is that the article is a little bit wrong. In special relativity lets say I'm sitting next to someone and then I go for a walk and come back. When we compare clocks they will be the same since otherwise there would be symmetry breaking and we could establish a preferred inertial frame. Now in general relativity the symmetry is broken by the bending of time caused by my acceleration and when I return to my desk I will be younger than my stationary friend. i.e. this is all a consequence of general relativity not special.

    12. Re:relative to what? by Em+Adespoton · · Score: 1

      The answer is simple; due to the speed of the rocket (or hangar), the neurons in the brain are unable to process the results before the explosion where all observers go up in a large fireball.

      A more interesting one would be to place telemetric laser gates 10m on either side of the building and see if a remote observer is able to witness either being broken while the rocket is within the closed hangar ;)

    13. Re:relative to what? by camperdave · · Score: 1

      But how do we know it was the "moving" twin that stopped and returned? From the point of view of that twin the "stationary" twin is the one who moved away and came back.

      --
      When our name is on the back of your car, we're behind you all the way!
    14. Re:relative to what? by Em+Adespoton · · Score: 1

      One other thought... when the relative motion between you and the objects around you approaches the speed of light, isn't it true that the objects approaching you shorten while the ones moving away from you lengthen? And by objects, we're talking quantum objects, not physical objects?
      This means that the front of the rocket from an internal observer will appear to be closer to the front hangar door, where all space is shrunk... but it will appear farther from the rear hangar door.

      Looking at it from a different perspective, this means that the rocket will appear to be in a different location at the same time from inside the rocket than from inside the hangar... which is exactly what we'd expect from time dilation.

    15. Re:relative to what? by Richard_J_N · · Score: 1

      > But how do we know it was the "moving" twin that stopped and returned?
      > From the point of view of that twin the "stationary" twin is the one who moved away and came back.

      The symmetry is broken, so we can tell. The stationary twin feels no acceleration (and remains in one inertial frame of reference throughout).
      The moving twin must accelerate away, turn around (decelerate + accelerate) and then brake on arrival. So he switches frame at least 3 times.

      In SR, there is no special "rest" frame, and you can't tell what your own absolute speed is (it's not even defined). However, you *can* tell that you are accelerating, because of F = m.a . If you experience a force, you must be accelerating. The 2nd twin can feel himself being pushed back in his spacecraft's seat.
        [in SR there is no gravity; once gravitation enters the fray, we have the equivalence principle (briefly, inertia === gravity) and then we must resort to GR]

    16. Re:relative to what? by HTH+NE1 · · Score: 1

      For one, because it takes far more force to move an entire universe around one individual than it does to move one individual around in a universe at any speed, let alone relativistic speeds. Such an exertion of force upon the whole universe will be hard to ignore, and the energy requirements to do so could not be solely attributable to the propulsion device your moving twin is using.

      --
      Oh, say does that Star-Spangled Banner entwine / The myrtle of Venus with Bacchus's vine?
    17. Re:relative to what? by camperdave · · Score: 1

      Okay, Forget about the coming back part, and the stopping and starting part. Just imagine two people who are moving in inertial reference frames (say coasting in space ships on parallel courses. Each will think they are stationary. Each will think the other is moving. Each will measure a time dilation in the other.

      --
      When our name is on the back of your car, we're behind you all the way!
    18. Re:relative to what? by ceoyoyo · · Score: 1

      No. It depends on whether you accelerate or not. If you fly around the planet at a particular speed you'll experience less time than someone left behind. It doesn't matter which direction you go. Since the planet, solar system, galaxy etc. are all in inertial reference frames, their relative rate of time is not affected by their relative velocities.

    19. Re:relative to what? by Anonymous Coward · · Score: 0

      Why is there a pilot on the rocket? Wouldn't you want the rocket self guided, especially if it is speeding towards a hangar?

    20. Re:relative to what? by Anonymous Coward · · Score: 0

      Length dilation is easy to understand once you realize that it's a direct consequence of time dilation, and not really a separate effect. When you look at the front of a moving object, you're looking into its past, and when you look at the rear, you're looking into its future. (Rule: "leading clocks lag"). Therefore, when you look at where its front edge would be if it were standing still, you're effectively looking backwards in time from the object's point of view, and at that time, the object hasn't yet arrived at the point you're looking at. Similarly, when you look at the back edge, you are looking forwards in time, and the object has already left.

      It's not really that the object becomes "shorter" so much as that you are looking at it in a skewed timescale such that you are looking at the object's past on the leading edge and at its future on the trailing edge. That, plus the fact that it is moving, creates the illusion that it has become shorter, but it really hasn't.

    21. Re:relative to what? by angel'o'sphere · · Score: 1

      Considering that Alpha Centauri is only 4 light years away, from an outside observer you would accelerate 100 days, and decelerate 100 days and fly like 3 years and 10 monthes + 200 days (acceleration + deceleration) but from your point of view it would be only 200 days (acceleration + deceleration) + a few weeks at close of speed of light.

      Well, you don't need to know anything about relativity, no one really expects that.

      But that alpha centauri is the closest star to our sun, THAT you perhaps should know. And that it is just 4 Light years!! That you also should know.

      As a small hint regarding relativity: it is not a 50 years versus 20 years ratio but depending on final speed a dozens of years versus a few weeks ration. In other words, if we would put you into a rocket flying close to light speed you would be (from your perspective) at alpha centauri in less than 3 months.

      angel'o'sphere

      --
      Cost free eBook I read (by iBook/Kobo/Amazon/ObookO/Gutenberg etc.): "The Green Odyssey" by Philip Jose Farmer.
    22. Re:relative to what? by angel'o'sphere · · Score: 1

      For one, because it takes far more force to move an entire universe around one individual than it does to move one individual around in a universe at any speed, ....

      Well, this sentence is flawed from the beginning. It does not need force to move something around, but acceleration. Force is the product fo acceleration times the mass of the moved thing.

      A force like F = m * a bottom line only depends on 'a'. It does not matter if m is the mass of the universe or your body mass.

      What you likely mean is energy: yes, to accelerate a small mass you need less energy than to accelerate a huge mass.

      angel'o'sphere

      --
      Cost free eBook I read (by iBook/Kobo/Amazon/ObookO/Gutenberg etc.): "The Green Odyssey" by Philip Jose Farmer.
    23. Re:relative to what? by Richard_J_N · · Score: 1

      That only has one event in it, rather than 2.

      An event is a point in space-time: some marker that has coordinates (ct, x,y, z) in a particular frame of reference, S.
      In a different frame, S', the coordinates of that same event will be (ct', x', y', z').
      Relativity lets us do the maths: if we know (ct,x,y,z) and the relative velocity of S' and S, then we can calculate (ct',x',y',z') (and vice versa).

      In the standard twin-paradox, event A would be the twins saying goodbye, and B would be them saying hello again later. The time for the stationary twin is then
        t_B - t_A, whereas the time for the moving twin has to be calculated in two frames, S' and S''.

      However, to measure elapsed time, (B-A), both twins have to agree on the co-ordinates of the events. You can synchronise one event as the twins pass each other, but if they remain in intertial frames, you cannot define a second event to the satisfaction of both twins.

    24. Re:relative to what? by Ironhandx · · Score: 1

      That would be traveling AT the speed of light.

      I'm aware of the 4 light year distance, but currently with top end projected attainable speeds from what I understand the trip will still be better measured in decades than years.

      Even 50 years means traveling at an appreciable fraction of the speed of light.

    25. Re:relative to what? by Rigrig · · Score: 1

      In special relativity lets say I'm sitting next to someone and then I go for a walk and come back. When we compare clocks they will be the same since otherwise there would be symmetry breaking and we could establish a preferred inertial frame.

      You don't need to factor in acceleration to have the clocks get out of sync, just remember that changing directions means you won't be at rest the whole time in any reference frame:

      Inertial frame of your friend: First you move away with say 1 m/s. Halfway through you move towards him at 1 m/s. You're moving, so your watch will be slow when you return.

      Inertial frame of you walking away: First your friend moves away at 1 m/s. Halfway through you start moving in the same direction at 2m/s. You're moving faster, so your watch will be slow when you catch up with him.

      Inertial frame of you walking back: First you move at 2m/s, while your friend falls behind at 1 m/s. Halfway through you stop moving, and wait for your friend to catch up. You've been moving faster, so your watch will be slow when he reaches you.

      --
      **TODO** [X] Steal someone elses sig.
    26. Re:relative to what? by camperdave · · Score: 1

      It doesn't matter. Each will read the other's time frame as slower than their own. But if you need other events, have triplets, each in their acceleration proof craft on parallel courses with differing velocities. That will give you three events (A meets B, B meets C, and C meets A).

      --
      When our name is on the back of your car, we're behind you all the way!
    27. Re:relative to what? by WaffleMonster · · Score: 1

      Wouldn't this "gain" depend on which direction you're walking - along with the rotation of the earth, or against it?

      Assuming both people are on earth it would NOT matter which direction realitive to the other or rotation of the earth they were moving. If they were going 100 mph twoard you or 100 mph away from you the effect is exactly the same.

      However there is a problem in that the person who gets in their cars or starts walking their realitive velocity is the one in the accelerated frame realitive to the person standing still. So references only work against fixed features like Micro$ft HQ unless both people run the app and the system is able to account for compensating deltas on both sides.

      There is another problem in that gravity has the same time dialation effect. Difference in gravity strength with altitude or distribution due to land features realitive to the other person or thing being referenced also matter.

      Or if you're comparing to non-earthly reference points - along with the revolution around the sun & galaxy or against them?

      Yes, absolutely and it would need to account for their gravity wells.. without having seen the app I'm guessing it was only intended for reference on earth.

    28. Re:relative to what? by Anonymous Coward · · Score: 0

      The shortening is because when you project the rocket's idea of simultaneity into hangar's, the rear end of the rocket is hundreds of nanoseconds ahead of time compared to the front of it.

      In actual timespace coordinates, the axes that get contracted and elongated are diagonal (x+t, x-t). This is often simplified as the rocket simply getting shorter which is misleading.

    29. Re:relative to what? by HTH+NE1 · · Score: 1

      An object at rest will remain at rest and an object in motion will remain in motion in a straight line and at a constant speed, unless acted upon by an outside force. F=m*a, but also a=F/m. Applying a force to a mass produces acceleration; acceleration cannot exist without a force being applied. Any force will do: pushing, pulling, magnetic attraction/repulsion or gravity. If there are no forces upon the mass, there is no acceleration. If there is acceleration, there is a force acting upon the mass. Remove the force and the acceleration disappears and you're left with a constant velocity imparted to the mass.

      Do you not know that acceleration and velocity are different things? Acceleration is a = dv/dt: a change of velocity over time?

      As long as you're undergoing acceleration, you're not in an inertial frame of reference because your velocity vector is changing. So no, someone undergoing acceleration cannot have a valid perception that they are stationary and the rest of the universe is accelerating instead. Otherwise Earth being completely stationary and the whole Universe spinning around it in a complex ballet would be a valid interpretation of reality. It is empirically false.

      --
      Oh, say does that Star-Spangled Banner entwine / The myrtle of Venus with Bacchus's vine?
    30. Re:relative to what? by TapeCutter · · Score: 1

      hopes for links explaining exactly what gravity is

      That's a vain hope, nobody knows what gravity is, same goes for the other fundemental forces. Like time and space they can't be defined without self-reference.

      --
      And did you exchange a walk on part in the war for a lead role in a cage? - Pink Floyd.
    31. Re:relative to what? by magarity · · Score: 2

      You should rest easy! It's been confirmed directly using planes and atomic clocks:

      I'm glad those experiments were conducted back in the 70's. If someone thought that up now, well, just imagine what the TSA goons would do if you said the mysterious electronic device in your carry on was an atomic clock.

    32. Re:relative to what? by bcrowell · · Score: 1

      "Not only that, the moment you accelerate you switch inertial frames, thus special relavitity no longer applies, the clocks converge and you gained nothing. Refer to the twin paradox.
      http://en.wikipedia.org/wiki/Twin_paradox"

      No, general relativity is not required in order to describe objects that accelerate. Here's a FAQ I wrote on this topic.

      FAQ: Does special relativity apply when things are accelerating?

      Yes. There are three things you might want to do using relativity: (1) describe an object that's accelerating in flat spacetime; (2) adopt a frame of reference, in flat spacetime, that's accelerating; (3) describe curved spacetime. General relativity is only needed for #3.

      A prohibition on #1 is particularly silly. It would make SR into a trivial theory incapable of describing interactions. If you believed this, you would have to stop believing, for example, in the special-relativistic description of the Compton effect and fine structure in hydrogen; these phenomena would have to be described by some as yet undiscovered theory of quantum gravity.

      #1 often comes up in discussions of the twin paradox. A good way to see that general relativity is totally unnecessary for understanding the twin paradox is to pose a version in which the four-vector equation a=b+c represents the unaccelerated twin's world-line a and the accelerated twin's world-line consisting of displacements b and c. The accelerated twin is subjected to (theoretically) infinite accelerations at the vertices of the triangle. The triangle inequality for flat spacetime is reversed compared to the one in flat Euclidean space, so proper time |a| is greater than proper time |b|+|c|.

      #2, accelerated *frames*, is less trivial. It's for historical reasons that you'll see statements that SR can't handle accelerated frames. Einstein published special relativity in 1905, general relativity in 1915. During that ten-year period in between, nobody really knew what the boundaries of applicability of special relativity were. This uncertainty made its way into textbooks and lectures, and because of the conservative nature of education, some students are still hearing, a century later, incorrect assertions about it. There is an overwhelming consensus among modern relativists that the boundary between SR and GR should be defined as the distinction between flat and curved spacetime, not unaccelerated and accelerated observers.[MTW 1973,Penrose 2004,Taylor 1992,Schutz 2009,Hobson 2005]

      In an accelerating frame, the equivalence principle tells us that measurements will come out the same as if there were a gravitational field. But if the spacetime is flat, describing it in an accelerating frame doesn't make it curved. (Curvature is invariant under any smooth coordinate transformation.) Thus relativity allows us to have gravitational fields in flat space --- but only for certain special configurations like uniform fields. SR is capable of operating just fine in this context. For example, Chung et al. did a high-precision test of SR in 2009 using a matter interferometer in a vertical plane, specifically in order to test whether there was any violation of Lorentz invariance in a uniform gravitational field. Their experiment is interpreted purely as a test of SR, not GR.

      MTW 1973 -- Misner, Thorne, and Wheeler, Gravitation, 1973, p. 163: "Accelerated motion and accelerated observers can be analyzed using special relativity." p. 164: "An accelerated observer can carry clocks and measuring rods with him, and he can use them to set up a reference frame (coordinate system) in his neighborhood."

      Penrose, The Road to Reality, 2004, p. 422, "It used to be frequently argued that it would be necessary to pass to Einstein's general relativity in order to handle acceleration, but this is completely wrong. [...] We are working in special relativity provided that [the] metric is the flat metric of Minkowski Geometry M."

      Taylor and Wheeler, Spacetime Physics, 1992, p. 132: "D

    33. Re:relative to what? by Anonymous Coward · · Score: 0

      Not quite. There is no symmetry even in the context of special relativity if one of you changes inertial reference frames and the other does not. In your example the person who goes for a walk and comes back will see a discontinuity in their measurement of your age at the point where they switch from the "going away" frame to the "returning" frame.

    34. Re:relative to what? by Chris+Burke · · Score: 1

      It was part of the question and the answer that we're talking about the same magnitude of acceleration. And since F=ma means the force depends on both the 'a' and the 'm', to get the same a with a ludicrously higher m means a ludicrously higher force.

      It would also of course take ludicrously more energy, yes. But if you were to apply the same force for the same amount of time, then you would actually expend the same energy accelerating the universe, though the amount of acceleration would be ludicrously lower.

      --

      The enemies of Democracy are
    35. Re:relative to what? by angel'o'sphere · · Score: 1

      Ah, sorry my fault ;D

      But 50 years is not a *noticeable* fraction of the speed of light, it is a 1/10th at best, there is no real time delation effect. (Ofc you can measure it with good clocks but I doubt it is in the range of an hour even)

      angel'o'sphere

      --
      Cost free eBook I read (by iBook/Kobo/Amazon/ObookO/Gutenberg etc.): "The Green Odyssey" by Philip Jose Farmer.
    36. Re:relative to what? by turbidostato · · Score: 1

      "It does not need force to move something around, but acceleration. Force is the product fo acceleration times the mass of the moved thing."

      Not exactly. You *measure* force by observing how much a mass is accelerated.

      It is acceleration the result of applying a force to a mass so, in some sense, it would be better to describe Newton's second law as F/m=a instead of F=m*a.

      In other words, you can't change the moving status of a mass without applying a force to it (first Newton's law).

      "A force like F = m * a bottom line only depends on 'a'. It does not matter if m is the mass of the universe or your body mass."

      Uh? It's a product, therefor it depends on *both* factors. You can bet that if you apply a force f to a mass m you won't get it to accelerate at the same rate than if you apply the same force to a mass m' where m'=2*m.

      "What you likely mean is energy: yes, to accelerate a small mass you need less energy than to accelerate a huge mass."

      You are unable to understand the very formula you wrote down, aren't you? I'd suggest you to revisit the concepts of force, energy and work.

    37. Re:relative to what? by angel'o'sphere · · Score: 1

      You are unable to understand the very formula you wrote down, aren't you? I'd suggest you to revisit the concepts of force, energy and work.

      I don't think so, perhaps you should scroll up a bit and see my parents post ;D
      Sorry that I simplified my answer to him so much that you felt the need to answer as well.
      angel'o'sphere

      --
      Cost free eBook I read (by iBook/Kobo/Amazon/ObookO/Gutenberg etc.): "The Green Odyssey" by Philip Jose Farmer.
    38. Re:relative to what? by Anonymous Coward · · Score: 0

      Yes, yes. I know the maths line up but the maths have lined up for other things that turned out to be wrong.

      Well no, it's not only the math that adds up, it's the fact that there are experiments that support it. And that's a whole different thing.

      Here's a list of experimental basis of special relativity

    39. Re:relative to what? by Cytotoxic · · Score: 1

      I haven't run the math on this example in many years, but you've hit on the nut of the answer. Due to foreshortening the hanger dudes see an 80m rocket inside for the (extremely brief) period that the doors are simultaneously closed. Due to time dilation the rocket pilot sees first one, then the other door close and open as the rocket moves through. They are never both closed at the same time from his reference frame. Extra cool points for the fact that the two ends of the hangar are connected by a building, but separated by relativistic effects due to the extreme speed. Weird.

  4. Fine example... by Anonymous Coward · · Score: 0

    A fine example of a completely useless application.

  5. Badly named by Anonymous Coward · · Score: 5, Funny

    It's actually a pedantometer.

    1. Re:Badly named by Dachannien · · Score: 1

      Dammit, I pointed my pedantometer at your post and it exploded.

    2. Re:Badly named by GameboyRMH · · Score: 1

      It should really be called a pedometric pedantochronograph.

      --
      "When information is power, privacy is freedom" - Jah-Wren Ryel
    3. Re:Badly named by Maestro485 · · Score: 1

      Speaking of "badly named," pedometer sounds like something made up on 4chan to rate the age of children in image posts.

  6. This is wrong. by Anonymous Coward · · Score: 0

    Traveling at a speed close to the speed of light does not make you age more slowly because in your frame of reference time is traveling at the normal speed. To you, time in the outside world has slowed down because in your frame a reference you are stationary and universe is moving past you. So in this case it's symmetric and neither will age faster or slower.

    What breaks the symmetry in the twin paradox is that the one twin had to accelerate up to speed, decelerate, turn around, accelerate back up to speed and then finally decelerate again. It's the acceleration that causes it not the velocity. One twin spends time in a non inertial reference frame.

  7. You LOSE time not gain it. by digiplant · · Score: 5, Informative

    Think of it this way: Two guys have a deadline in an hour. Guy #1 sits at his desk and does nothing. Guy #2 zips around at a high velocity and returns to meet guy #1. Both guys check their watch, guy #1 notes an hour has past, while guy #2 notes that half an hour has past. Although guy #2 has aged less, he actually had less time to work to meet the deadline. In the spirit of the original post, guy #2 has lost time instead of gained it.

    1. Re:You LOSE time not gain it. by Anonymous Coward · · Score: 0

      Also I'm pretty sure the times shown on the app are wrong. As you took the clock with you the normal amount of time progressed (unless it re-synced with the cell tower) should be the "elapsed time after relativity effects", while adding relativity effects could lead you to "elapsed time had you not been walking around".

    2. Re:You LOSE time not gain it. by MartinSchou · · Score: 1

      Maybe that's why exercise extends life. They don't really live longer, it's just that their 60 year old body has only experienced 59 or whatever.

    3. Re:You LOSE time not gain it. by PunchMonkey · · Score: 1

      The treadmill companies aren't going to like the sounds of this.

      --
      I'll have something intelligent to add one of these days...
    4. Re:You LOSE time not gain it. by Anonymous Coward · · Score: 0

      Maybe that's why exercise extends life. They don't really live longer, it's just that their 60 year old body has only experienced 59 or whatever.

      What about people that drive all the time or pilots, do they live longer?

    5. Re:You LOSE time not gain it. by Em+Adespoton · · Score: 1

      Wouldn't this mean that jet fighters would experience less time than body builders?

    6. Re:You LOSE time not gain it. by meerling · · Score: 1

      Exactly, you are behind the times due to time dilation, it only lets you watch the world zoom past.

    7. Re:You LOSE time not gain it. by Draek · · Score: 1

      That's because you're doing it wrong: if you have a deadline in an hour, what you should do is to put your boss in a spaceship travelling at near light speed, not go in it yourself.

      --
      No problem is insoluble in all conceivable circumstances.
    8. Re:You LOSE time not gain it. by meerling · · Score: 1

      I agree. When it takes Nasa using a paired set of atomic clocks and a spaceship that travels way faster than your feet or any car you can own to find and measure the temporal discrepancy thus proving the time dilation predictions. I really doubt any ijunk would have the accuracy necessary to measure that, and that's not even taking into account the localized gravitational variations of our world which also effect such minuscule variations.

      At best it's getting an estimated speed from the gps, and applying a generic formula to calculate the discrepancy without regard to localized variations, and without coordinating with atomic clocks. The same way I can estimate how much fuel you've burned in your car by looking at your odometer and referencing the sales materials stated mpg for your car. By the way, if you've changed tire size either through low air or pimping your ride, your odometer is wrong, you need to get it recalibrated, or your tires restored to the correct pressure/diameter.

      It's amazing what weak ijunk they keep trying to sell in Apples app store.

  8. Just downloaded it... by wisebabo · · Score: 1

    Ok, the App is very minimal, just tells you how much time you've gained(?) compared to a "stationary" observer.

    The info panel allows you to put in your birth date. Presumably this is to show you how much time you've added to your life? (It also allows you to turn on multi-tasking for the app so I guess it can constantly determine how much time you've saved).

    I wish it would give a little more info (ideally a running graph showing time slowing down as you're speeding up). It says it uses GPS but I'm assuming it isn't calculating how much time is speeding up if you climb up some stairs (out of the gravity well). For that matter I assume it isn't taking into account acceleration (note to physicists: does non-gravity acceleration cause time dilation?).

    Still it is free, and makes me feel very very very slightly younger!

    1. Re:Just downloaded it... by Cytotoxic · · Score: 1

      (It also allows you to turn on multi-tasking for the app so I guess it can constantly determine how much time you've saved) ... It says it uses GPS but I'm assuming it isn't calculating how much time is speeding up if you climb up some stairs

      Does it explain how much the advertisers gain by getting continual updates on your position using your GPS?

    2. Re:Just downloaded it... by MultiModeRb87 · · Score: 1

      ...For that matter I assume it isn't taking into account acceleration (note to physicists: does non-gravity acceleration cause time dilation?).

      Still it is free, and makes me feel very very very slightly younger!

      IAAP (I am a physicist), so I can confirm that non-gravitational acceleration causes time dilation, under some circumstances. Since I'm waiting for some calculations to finish running through Mathematica, I'll also try to explain. :-)

      Non-gravitational acceleration does cause time dilation, at least when viewed in the frame of the accelerated observer. When analyzed in the frame of an inertial observer (read: if someone who isn't accelerating calculates how much time has passed for you based on how you are moving), these effects appear to be the result of your velocity, and *not* your acceleration.

      A fun example of this is the Langevin twin paradox problem. Two twins, floating in space, synchronize their watches. Then twin A uses a rocket to travel out a certain distance d at a more or less constant velocity v, turn around, and return, also with velocity v. He only uses his rocket for a very brief period upon leaving, during turnaround, and finally to return to rest relative to his twin. Twin B just sits there. They then compare their clocks.

      Twin B sees that twin A spent essentially all of his time moving with velocity v, and figures that time-dilation has caused twin A's clock to record less time than twin B's. This is correct.

      From twin A's perspective, it was twin B who moved with velocity v, and so he figures that time-dilation has caused B's clock to record less time than A's. This seems paradoxical until twin A accounts for the fact that he was accelerated at the far end of his trip. During that acceleration, everything not attached to his rocket (including twin B) seemed to accelerate in the direction his engine was pointed. There's a bunch of math one can do to justify it, (see chapter 13 of Misner, Thorne, and Wheeler's "Gravitation", if you want the full scoop) but the short version is that acceleration acts just like gravity (and vice versa). So twin A figures that twin B's clock must be gravitationally blueshifted relative to twin A's clock (twin B is 'higher' in the apparent gravitational potential produced by the acceleration). It turns out that over the amount of time twin A must accelerate to return to his twin, twin B's clock seems to gain exactly twice as much time as he seems to lose while twin A is coasting, which is just enough to bring each of the twins' calculations into full agreement upon their reunion.

      Relativity is fun. :-)

    3. Re:Just downloaded it... by wisebabo · · Score: 1

      Thank you very much!

  9. Great ad on the oven... by elsurexiste · · Score: 1

    That would be a cool idea for an Adidas or Nike ad.

    Einstein relativity theory: when you are moving, the time of the world around you goes faster and your time is slower. The faster you go, the longer you think, the longer you live. The world turns into a blaze of events, unimportant things are even more insignificant... and everyone else sees you resilient and stoic.

    Or some crap like that...

    --
    I rarely respond to comments. Also, don't ask for clarifications: a brain and Google are faster, believe me!
    1. Re:Great ad on the oven... by Mindcontrolled · · Score: 1

      Someone just sold his soul to the PR department. You are lost, mate, eternally. One does not joke with matters like that, matter that were never meant to be dealt with by humans.

      --
      Ubi solitudinem faciunt, pacem appellant.
  10. At which height? by mangu · · Score: 1

    If you climb up a mountain you'll be higher up in the gravity well and time will run faster than for people down below. The app should be integrated with GPS readings to take that into account.

    1. Re:At which height? by Cytotoxic · · Score: 1

      and what about latitude? You'd have to factor in the relativistic differences between sitting near the earth's axis of rotation and whizzing about at the equator. Surely that speed differential is bigger than your walking speed...

    2. Re:At which height? by sznupi · · Score: 1

      Of course, then it would be only decent to also calculate & show different risks of cancer from cosmic radiation (hence expected average differences of available time), or unhealthy effects of low oxygen levels ;P (but yeah, IIRC the differences from going up&down the gravity well are quite on par with those from human-scale speeds of movement)

      --
      One that hath name thou can not otter
    3. Re:At which height? by srjh · · Score: 1

      Not once you take general relativity into account.

      The equator is whizzing about faster, but it experiences a weaker gravitational field, and a subsequent decrease in gravitational time dilation.

      At sea level, the weaker gravitational time dilation and stronger kinematic time dilation cancel. Although GP is correct in pointing out that altitude must be taken into account.

    4. Re:At which height? by angel'o'sphere · · Score: 1

      Considering that at speeds far far far below 1% of light speed, the speed itself is completely irrelevant and only 'acceleration' matters .....

      --
      Cost free eBook I read (by iBook/Kobo/Amazon/ObookO/Gutenberg etc.): "The Green Odyssey" by Philip Jose Farmer.
    5. Re:At which height? by BatGnat · · Score: 1

      This app seems more and more inaccurate, let me know when they fix it.

      This way I can use any time I save, looking at this app.

    6. Re:At which height? by bcrowell · · Score: 1

      Considering that at speeds far far far below 1% of light speed, the speed itself is completely irrelevant and only 'acceleration' matters .....

      No, this is incorrect. Both the kinematic time dilation and the gravitational time dilation are extremely small, but they are roughly on the same order of magnitude in many situations in ordinary life. E.g., if you're flying on a passenger jet, the size of the two effects differs by less than a factor of 10. Also, it's not acceleration that determines your gravitational time dilation, it's gravitational potential.

    7. Re:At which height? by angel'o'sphere · · Score: 1

      You are mistaken, I did not talk about gravitation, I talked about acceleration. (Gravitation however is also a factor, but was not my topic)

      Speed is completely irrelevant as long as it is not close to light speed. It is the acceleration that brought you to that speed, that matters.

      angel'o'sphere

      --
      Cost free eBook I read (by iBook/Kobo/Amazon/ObookO/Gutenberg etc.): "The Green Odyssey" by Philip Jose Farmer.
    8. Re:At which height? by WaffleMonster · · Score: 1

      No, this is incorrect. Both the kinematic time dilation and the gravitational time dilation are extremely small, but they are roughly on the same order of magnitude in many situations in ordinary life. E.g., if you're flying on a passenger jet, the size of the two effects differs by less than a factor of 10. Also, it's not acceleration that determines your gravitational time dilation, it's gravitational potential

      FWIW the contribution of gravity is the same as the escape velocity .. on the surface of earth it is about ~7miles/sec.

    9. Re:At which height? by bcrowell · · Score: 1

      You are mistaken, I did not talk about gravitation, I talked about acceleration. (Gravitation however is also a factor, but was not my topic)

      The equivalence principle says they're the same thing.

      Speed is completely irrelevant as long as it is not close to light speed. It is the acceleration that brought you to that speed, that matters.

      No, this is completely incorrect. There is a small effect when your speed is far below the speed of light. All of the effects we're talking about are small.

      You may want to take a look at the classic papers by Hafele and Keating and Alley from the 1970's. A good summary of Alley's work is available here:
      In NASA. Goddard Space Flight Center Proc. of the 13th Ann. Precise Time and Time Interval (PTTI) Appl. and Planning Meeting, p. 687-724, 1981 (SEE N82-20494 11-36)
      You can access scans online at http://www.pttimeeting.org/archivemeetings/index9.html If you take a look at the analysis you'll see that the kinematic and gravitational effects are similar in size.

    10. Re:At which height? by angel'o'sphere · · Score: 1

      Then we both have a problem to agree on the word "irrelevant". Irrelevant is the oposite of relevant, it does not mean not existing.

      The time delation effects are calculated with a very simple formula: t0 = T * sqrt(1-(v*v/c*c)).

      If you enter small speeds like a car moving you see the effect is very very very low.

      I never neglected that effect. I only said: it is not really relevant as ACCELERATION is what matters. My grandparant mixed up acceleration with speed.

      Speed is completely irrelevant as long as it is not close to light speed. It is the acceleration that brought you to that speed, that matters.

      No, this is completely incorrect. There is a small effect when your speed is far below the speed of light. All of the effects we're talking about are small.

      What should be incorrect on that? It is completely correct: lets test the formula.
      10%c -> t0 = 0.9994987

      So even 10% light speed slows your clock down less than by a factor of 0.001.

      Also I like to point out there is a smal difference between gravitation and acceleration. If you are orbiting a gravity source, the gravity is there, but you experience no acceleration. (so you have only delta t effects due to gravity and not acceleration, or you measure clock speeds on see levels and on mountains, same here)

      When you experience acceleration it is not relevant if it is caused by gravity, a rocket or an electric or magnetic field. However unlike an electric field gravity is bending space time, which has its own effects on time ... besides acceleration)

      Thanks for the link, I will dig through it ;D but I fear it might be beyond my last physics class, hehe.

      angel'o'sphere

      --
      Cost free eBook I read (by iBook/Kobo/Amazon/ObookO/Gutenberg etc.): "The Green Odyssey" by Philip Jose Farmer.
    11. Re:At which height? by bcrowell · · Score: 1

      Thanks for the link, I will dig through it ;D but I fear it might be beyond my last physics class, hehe.

      If you want to learn some relativity, the first book I always suggest to people is Gardner, Relativity Simply Explained. You could also try Geroch, Relativity from A to B. At a somewhat higher mathematical level, there is Exploring Black Holes by Taylor and Wheeler, or various upper-division undergrad books like Hartle.

  11. Saving silicon by jenningsthecat · · Score: 1

    Does this mean that the faster I run my CPU, the longer it will last?

    --
    'The Economy' is a giant Ponzi scheme whose most pitiable suckers are the youngest among us and the yet-unborn.
    1. Re:Saving silicon by Admiral_Grinder · · Score: 1

      Possibly, but with all that running it could have a heart attack or hit by a bus. I think it would be much safer being firmly attached to the motherboard.

  12. Exercise Related? by Anonymous Coward · · Score: 0

    Maybe this is why people who exercise live longer?

  13. Philosophical Exercise by hellfire · · Score: 4, Informative

    The time one lives on this planet is relative to measurements made by other people and by other devices. Your watch on your own wrist is probably the most accurate personal time you can get, but you have to adjust it based on other clocks around you to remain in sync with the rest of the world. Even more so, computers and phones now regularly ping a clock server to get an updated time automatically, and that server is somewhere else, being stationary. Time on the Earth is measured in terms of the velocity of the planet's orbit and rotation, but not in terms of your personal velocity relative to the sun or earth itself. The earth rotates and orbits at a specific velocity. If you move, your velocity relative the sun is different than the planet itself.

    However, by moving, based on the theory of relativity, you are gaining a fraction of a fraction of a second by moving faster than the world around you. The clock is a philosophical exercise exploring relativity, and it's not like you'll gain 200 relative years by constantly walking or running anywhere, but it's fun to observe relativity in action. The "gain vs loss" here is that 1 second for you is still 1 second, but if you were say running, 1 second for you is, for example, 1.000000000000000000000000000000000000000000000000000000000000001 seconds for everyone you pass that are standing still. So you gain that fraction of a second relative to the world around you, and thus travel into the future a little faster than others.

    --

    "All great wisdom is contained in .signature files"

    1. Re:Philosophical Exercise by wood_dude · · Score: 3, Insightful

      No, I'm at rest. Everything else is revolving around me. It's a chaotic dance to be sure, but I'm at the center of it ! :)

    2. Re:Philosophical Exercise by camperdave · · Score: 1

      I think that this is the true heart of the twins paradox. Motion induces time dilation, that's easy to understand. Nothing paradoxical about it. However, from the point of view of the "moving" twin, the "stationary" twin is the one that moves, thus each twin sees the other as stationary. Each twin will see time passing more slowly for the other than for themselves. In other words (A<B) AND (B<A) is true.

      --
      When our name is on the back of your car, we're behind you all the way!
    3. Re:Philosophical Exercise by TheTrueScotsman · · Score: 1

      You're generally correct, but your example of differences of 10^-70 seconds is way off (yea, I know, you just pressed the zero key for 'some time'). These relativistic effects are at about 10^-14 seconds and anything below plank time (10^-44s) is meaningless in current physics.

    4. Re:Philosophical Exercise by lxs · · Score: 2

      No the twin paradox is resolved by noticing that one twin has to accelerate at least twice on his round trip (and thus his frame of reference isn't in an inertial frame of reference and therefore not valid for calculations in special relativity) while the stationary twin doesn't accelerate at all.

    5. Re:Philosophical Exercise by turbidostato · · Score: 1

      "The time one lives on this planet is relative to measurements made by other people and by other devices."

      Not at all. It's the same for everybody and it's as absolute as C: exactly one life.

      (unless you belong to one of the religions that allow you to reincarnate, of course).

    6. Re:Philosophical Exercise by camperdave · · Score: 1

      On each of the inertial legs of the journey each twin will measure the other twin's clock as running slower. That is the paradox.

      --
      When our name is on the back of your car, we're behind you all the way!
  14. Something I've never understood by John+Jorsett · · Score: 1

    If motion is relative, how does the universe know which of us is moving in the near-light-speed vehicle so that person's clock runs slower than the stay-at-home's? We're both moving relative to each other.

    1. Re:Something I've never understood by Anonymous Coward · · Score: 0

      Which of you accelerated more from you initial state?

    2. Re:Something I've never understood by mangu · · Score: 1

      how does the universe know which of us is moving in the near-light-speed vehicle so that person's clock runs slower than the stay-at-home's?

      The person who traveled accelerated to change his relative speed.

      If you travel to a distant planet and get back, you will have accelerated to near light speed, braked down, accelerated back again, and braked down to get back to your twin's side, while he was at rest all the time.

      However, if you travel to a distant planet, and then your twin follows you there, you will both have the same age in the end, because you suffered the same accelerations.

    3. Re:Something I've never understood by Anonymous Coward · · Score: 0

      No. If I travel to a distant planet, the universe accelerates around me to near light speed, then slows down. I don't move at all.

    4. Re:Something I've never understood by Anonymous Coward · · Score: 0

      How is that different from the planet accelerating towards you, and then accelerated away from you?

    5. Re:Something I've never understood by camperdave · · Score: 1

      Doppler shift of the cosmic background radiation. If you're stationary, the background radiation is the same "color" in every direction. If you're moving, it is blue shifted in the forward direction, and red shifted in the backward direction.

      --
      When our name is on the back of your car, we're behind you all the way!
    6. Re:Something I've never understood by Anonymous Coward · · Score: 0

      Which would only appear to the be case if you've invented some sort of inertialess drive, allowing you to accelerate without feeling any acceleration. Otherwise, the force you felt would clue you in to why the two situations aren't equivalent.

    7. Re:Something I've never understood by quickgold192 · · Score: 1

      a=f/m

      So in order to be accelerated, you need to have a force applied to you. I don't think there's a force moving the entire universe around you at your whim.

    8. Re:Something I've never understood by Anonymous Coward · · Score: 0

      Right on! The Elegant Universe by Brian Greene, excellent read.

    9. Re:Something I've never understood by cforciea · · Score: 1

      Actually, acceleration has nothing at all to do with the twin paradox, insofar as it is explained by special relativity, which does not address acceleration. It would work the same way if, for instance, an object passed by earth at relativistic speeds, moved out a distance x, passed its clock measurement on to a second moving objecting moving in the exact opposite direction, which then compares its clock to one sitting on Earth and finds that less time has gone by.

      My confusion, of course, comes from what happens when you assume that the object moving towards earth is the rest frame instead of earth itself.

    10. Re:Something I've never understood by cforciea · · Score: 1

      Using uniform background radiation as a privileged inertial frame is cheating. Who is to say that the source of that radiation wasn't just moving fast enough to cause a blue shift equal to what I see while I am walking to keep pace with the rest frame, and the uniform color you see isn't the result of matching your velocity to that of the cosmic background radiation's moving inertial frame?

    11. Re:Something I've never understood by Anonymous Coward · · Score: 0

      Why is everyone travelling in a straight line? What is the effect if you travel at near light-speed along a circular or elliptical path? I presume you are also accelerating and decelerating, but not abruptly?

    12. Re:Something I've never understood by mangu · · Score: 1

      There are time dilation effects from acceleration alone, independent of speed. This can be proved by a thought experiment: imagine you are at the rear end of an accelerating car. At the front end a light flashes exactly once per second. According to your measurements, the flashes occur at shorter intervals than one second, because between each pair of pulses you are moving faster than between the former pair.

      Note that this has nothing to do with Lorenz time dilation, since you and the clock are always moving at the same speed, the only difference is that you are at different positions in an accelerating frame.

      Using this thought experiment and assuming that inertial and gravitational masses are the same, Einstein was able to generalize the theory of relativity to accelerated frames.

      The "thought experiment" above is notable because physicists found a way to actually perform it, today it's an actual physical experiment, Rudolf Moessbauer got the Nobel prize in 1961 for that.

    13. Re:Something I've never understood by cforciea · · Score: 1

      That's nice, but the Twin Paradox put in terms of three moving bodies as I described above avoids any acceleration at all in the course of the thought experiment, so general relativity and acceleration dilation are a non-issue.

    14. Re:Something I've never understood by Anonymous Coward · · Score: 0

      When you travel back and forth, your journey in spacetime is longer in every inertial frame. Pick one which moves your forward direction and you'll lose the advantage by going twice as fast when returning and vice versa.

      Changing the inertial frame at the middle of journey is pretty much equivalent of having a portal, with all the paradoxes it'd create.

    15. Re:Something I've never understood by Anonymous Coward · · Score: 0

      It's not time that is changing. What you are doing is taking a clock that is calibrated in one frame, and then putting it into a different frame. Everything is affected by gravity/acceleration, including clocks. If you want your clock to be accurate, then calibrate it in its intended frame.

      GPS satellites don't "prove" anything, other than proving you that you put a sea-level calibrated clock into a different frame (that frame being sea-level + 12,550 miles) -- a weaker gravitational field, hence making it "wrong" due to it not being in the frame it was calibrated.

      There is no time-travel, or even variation in the elapse of 'time', there are just broken/uncalibrated clocks in frames that they were not calibrated in.

      Claiming time-travel due to "relativity" is like claiming you lose weight by going to the moon. You don't lose anything by going to the moon, just just have an scale that is not calibrated for moon's gravity.

  15. Calculates, not measures. by nedlohs · · Score: 2

    Measuring would just a tad more difficult...

    1. Re:Calculates, not measures. by Anonymous Coward · · Score: 0

      It is relative to how fast your iPhone moves. To measure it, throw your iPhone as fast as you can towards the far wall. You'll find you get your life back.

  16. Exercise is good for you by Hultis · · Score: 1

    Anything that gives anyone motivation to perform some kind of exercise is good. This is one idea, achievements is another. Geocaching provides a good system for achievements for physical activity, and nerds often find themselves enjoying it (in my experience anyway. I was introduced by a nerd, have introduced several nerds and met a whole lot of nerds doing it.). A third is AR-based games. The "time gain" that general relativity supposedly gives is just as good a carrot as anything else - the real gain is health.

  17. You can STILL be lazy!!! by Anonymous Coward · · Score: 0

    You can STILL just sit on your rear end all the time and gain nanoseconds (age slightly less than everyone else). Just sit your ass down on a plane, taking flight after flight all over the place.... or ride Cedar Point's Top Thrill Dragster over and over. By you moving fast relative to the Earth and its inhabitants, you gain those extra nanoseconds (A LOT OF 'EM) without having to burn any calories off your fat ass!

    1. Re:You can STILL be lazy!!! by $0.02 · · Score: 1

      Sure. You can just sit on your lazy ass and fly very fast to get some extra time. But do not forget you also gain some extra MASS. :-)

      --
      If enithin kan gow rong it whil. (Murfey)
    2. Re:You can STILL be lazy!!! by benjamindees · · Score: 2

      How many plane trips would I have to take to go backwards in time all the way to the 70's?

      --
      "I assumed blithely that there were no elves out there in the darkness"
  18. Interesting, but by Anonymous Coward · · Score: 0

    Does it factor in the time you just wasted installing the app?

  19. Oh great by CheerfulMacFanboy · · Score: 1

    Next stop: add leap nano-seconds to NTP.

    --
    Fandroids hate facts.
  20. 22 more nanoseconds by mangu · · Score: 4, Informative

    There is at least one hobbyist that has measured it by taking a surplus rubidium oscillator up mt. Rainier. "It was the best extra 22 nanoseconds I've ever spent with the kids,"

  21. blah,blah,blah by Anonymous Coward · · Score: 0

    Only shows that most people still don't understand the basics. The article's description, of course, doesn't address the fact that if object A is moving directly away from object B, then object B is moving directly away from object A. So B's time should be slowed down relative to A as much as A's relative to B. Which would be a paradox, if it were so. But it isn't. The relative velocity can only refer to the component of the velocity tangential to circular motion. So if someone were to move in a CIRCLE around you and near-light speed, then their time would be passing slower than yours. This is why passing close to an object at near-light speed would make time slow down relative to the time experienced ON the star -- because as you get closer to the star, your trajectory is tangent to a smaller circle. So the tangential component is larger.

  22. Cancellation by stealth_finger · · Score: 1

    So if I walk to the shop, which for the sake of argument is with the direction of spin of the earth, ie I am moving faster than it, does it then follow that on the walk home where I would be going in the opposite direction of the spin and thusly slower that the rest of the world would 'catch up' to me?

    --
    Wanna buy a shirt?
    https://www.redbubble.com/people/stealthfinger/shop?asc=u
  23. How fast are we going? by NicknamesAreStupid · · Score: 1

    If everything is relative, wouldn't we need to know what is relevant? The earth rotates and revolves around the sun while the sun revolves around the galaxy while the galaxy moves through the universe. That is a lot of movement. Relative to the center of the universe, the one who moves fastest might be the one who sits still. More importantly, the relative difference in momentum between any two of us might be infinitesimal when compared to the whole. Nanoseconds might seem like millennia by comparison. But I know, it is all relatively unimportant when selling an iPhone app. What's really important is what's cool. This app will definitely get someone laid. Too bad all that movement will probably make it seem too short.

    1. Re:How fast are we going? by Nemyst · · Score: 1

      Considering movement is relative, the momentum and vector of motion of the Earth does not matter. You want to compare your time dilation to the Earth's, you don't need more than those two frames of reference.

      Obviously, there's the problem that the Earth is not an inertial frame of reference (since it is accelerated), and that likewise you are not an inertial frame of reference even when assuming that the Earth is (since you are on its surface, which is spinning), so you'd need to do some fairly complex general relativity calculations to offset this, but I'm assuming this app does this very approximately.

  24. The Flash! by DarthVain · · Score: 1

    So in reality the Flash should be relatively (pun intentional) immortal compared to the rest of us.

    To really bend you bonnet out of shape, so while he is vibrating so fast as to go back in time, that would be relativistically speaking the rest of the world would be moving forward in time at a faster rate.

    Also

    The Flash would kick Superman's ass in a race... :)

    1. Re:The Flash! by wood_dude · · Score: 1

      What exactly is he vibrating ? :)

    2. Re:The Flash! by Anonymous Coward · · Score: 0

      Wonder-woman of course!

  25. I need the related "red shift" app by Rob+the+Bold · · Score: 1

    That would help warn me when an apparently green traffic signal was actually red to a stationary observer. Talk about savings. This beats extra nanoseconds by a . . . uh . . . it beats them!

    --
    I am not a crackpot.
  26. what a lot of BS by rossdee · · Score: 1

    If you could walk fast enough to make a difference, your body would wear out real fast.

    Sure they have measured time differences in atomic clocks that have traveled on jet planes, but imagine the stress on your joints and bones if you could walk at 600mph, not to mention the likelyhood of having an accident (most people can barely cope with car driving speed in terms of reaction abilty..

    Somebody mentioned (DC comics) The Flash. How come he doesn't burn up from the heat of air resistance?

    1. Re:what a lot of BS by PRMan · · Score: 1

      Somebody mentioned (DC comics) The Flash. How come he doesn't burn up from the heat of air resistance?

      The explanation is that the Speed Force (an extradimensional force that these characters somehow tap into) causes an aura to appear around them as they are running, protecting them from friction and minor harm.

      --
      Peter predicted that you would "deliberately forget" creation 2000 years ago...
  27. Relative velocity and Home repair by Anonymous Coward · · Score: 0

    This explains why, whenever I return from a bike ride, my house always seems to have something that needs to be done to it. Of course, it could just be my wife.

  28. Pedometer? by ZeRu · · Score: 1

    Pedobear would approve this app.

    --
    If you post as an AC, don't expect me to spend a mod point on you.
  29. Are jazz hands... by Anonymous Coward · · Score: 0

    ...moving through time faster than the rest of my body?

  30. speed of light and limits by Anonymous Coward · · Score: 0

    I hope no one, ( if in a very short time(...), the voyager can reach .99999999~C ) would have the ambition to try to reach a region at 15milion light-years distance!!
    For that voyager, it could mean near 0 time, so almost instantanous travel time, and so on for the return. That will mean, let say, near 30 million years from the origin's point!!! wtf will happen to that origin after 30 million years ??? Hope the voyager does not expect his relatives still waiting for him :-), and event if the origin is the really same and at the same place!!!

    Thus, it is clear that 'space travel' is impossible by using movement inside the volumetric Euclidean space limits. Just like in 3D, we can create discontinuities between 2D surfaces by moving 2D objects through the height direction of the 3D, I wonder creating discontinuities between 3D volumetric places through the direction of the 4'th dimension could be possible and COOL!

  31. treadmill? by ArtificialPulse · · Score: 1

    It seems like it would need some GPS integration or else all that running in place would calculate extra nanoseconds you don't deserve.

  32. First post! by Anonymous Coward · · Score: 0

    Allowing for the effects of time dilation, that is.

    1. Re:First post! by Anonymous Coward · · Score: 0

      I re-labeled my clock as a "TimeDialationMarker" years ago, it seems more appropriate.

  33. bad english by mjwx · · Score: 1

    Speaking of "badly named," pedometer sounds like something made up on 4chan to rate the age of children in image posts.

    Thats because of 4chan's poor grasp of English.

    I laugh every time some one calls me a pedo, I tell them my foot fetish has nothing to do with the discussion.

    pedophile - foot fetish
    paedophile - kid fetish

    --
    Calling someone a "hater" only means you can not rationally rebut their argument.
  34. Earth moving by Barryke · · Score: 1

    Am i the first to question whether this includes the earth rotation?

    Besides, when talking about general relativity and moving, can't we determine the exact a centre of our universe by finding the spot (mass points excluded) that (relatively speaking) has the greatest time-dialation potential for any trip in the vacuum of space?

    --
    Hivemind harvest in progress..