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| Tags: dependent, light, trajectories, velocity |
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#21
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On 25 Feb, 12:04, wrote:
On 24 Feb, 11:58, Tom Roberts wrote: wrote: But i am still very confused about the actual concept, if distances really is a velocity dependent artefact. Distance is NOT "velocity dependent", it is PATH dependent. But for observers in two different inertial frames, the natural way of measuring the distance between two objects is along different paths through spacetime, and thus they obtain different values. Ooops sometimes i am just to fast... Yes Tom distance is velocity dependent and even trajectory(vector?) dependent in SR. The pulsefront is receeding with a velocity of 424 264 km/s from earth but only receeding with 300 000 km/s from **********ship*********** although both ship and planet occupied origo at t0, if Randy Poe can see this with a quick look so should you be able. One can however argue the pulsfront actually did travel this *distance* during a time spann of just 1/70.7 seconds in the inertial frame of the ship *due to time dilation*(i hope you agree with me on this). Ok you want to call a distance a path that however does not change the fact the paths/distances light traveled is unsymmetric thus light travel variant through space. NOTE: I do not claim light to be measured variant between different frames. I claim that different inertial frames have different lightpath lengths but i would say distances. So why would then different frames measure light velocity to be invariant d/t. Well if you let a defined constant the meter be a circular argument with a built in idea of light propagating invariant in space , it is actually unavoidable due to definition. If you can make a *spatial* vektor/lightpath of 300 000 km to only have travelled 4243 km within the ships inertial frame during one second (because that is the length the pule must travel during the timespann of the inertial frame, or if you prefer the time it *MUST* be measured to). You are on the way to selfdelusion or to be a very slick conman. If you then find out your mistake and try to cover it up by changing the definition and make it cirular by *DEFINITION/STATEMENT* "A METER IS THE DISTANCE THE LIGHT TRAVEL IN VACUUM IN 1/299,792,458 OF A SECOND" i would personally call it fraud. But more probably people at the SI was mislead by scientists to beleive that light travels invariant through *SPACE*, which it obviously do not. For example, consider the distance between earth and polaris (considered as fixed points in a single inertial frame). In their mutual rest frame, they are a distance D apart, and this distance is naturally measured along a path which is simultaneous in the earth+polaris frame (that's what we mean by distance measured in a specific frame). An observer in a spaceship moving at 0.866 c relative to the earth+polaris frame measures 0.5 D as the distance between them, and this distance is likewise measured along a path that is simultaneous in the spaceship frame. These two paths are DIFFERENT PATHS through spacetime, and that is why they measure different values. For instance, these two paths have the same objects as endpoints, but they end at them at different points in spacetime (specifically different values of time, measured in either frame). Distance is always path dependent, in any manifold. The distance from Chicago to New York is different if one measures via New Orleans or measures along a straight line. In this case the straight-line value is clearly what we normally mean by "distance", as it is measured along a spatial geodesic. To try to hide an obvious flaw within a theory by redefinition, and word games does not serve you well Tom i know you know better than this. v=d/t and once that definition did make sense it even make sense if let time be variant due to timedilation. But it does not make sense anymore once you give up the "d" as a constant. Because you get a velocity that actually do not tell you how long you travel path / time unit, the only thing it will measure is the *local* velocity AKA the inertial velocity. I know you are smart enough to see this. But there maybe to much time invested in the subject to admit it. It is easier to try to tweak the parameters of the flawed theory to make them look consistent. But ultimately Tom any house build on a ground of pure mud will not survive, you may try to tweak the structure to fit the ground but in the end it is not good idea, find some better ground to build the new house on. But in the earth/polaris case above BOTH paths are spatial geodesics. In spacetime, the distance between two objects is analogous to the distance between two parallel lines in Euclidean geometry: | | |* | | * | | * | | * | | * | | *| | | |------| | | Clearly the "distance between the parallel lines" is different for the - path and the * path, but both paths are spatial geodesics. In spacetime the parallel lines are the objects' worldlines (extending along the time axis of their mutual rest frame); due to the hyperbolic structure of spacetime the - path (i.e. the distance in the earth-polaris frame) is larger than the * path (in the spaceship frame). Would that really imply that each velocity vector(inertial frame) has it's own universe. No. For the same reason the two different Chicago-New York distances do not imply the two measurements have their own USA. And for the same reason the different distance for the * and - paths do not imply they have their own planes. You know i did not mean it litteraly i meant that each inertial frame would raise the question about remap the universe, i do not think it is a good idea. Let the distance be a spatial constant that is not vector and velocity dependent AKA frame dependent.Would be a much better idea Tom. If time in the end turn out to be variant and velocity dependent. We will see further along the road, but to let the Lorentz transformation reduce the validity of measure tools of length (meter/distance) is just absurd. If you want to claim realworld contraction in an inertial frame (i do you not, but some relativists do), then only use it for objects along that worldline (inertial frame) do not claim that the actual distance change. Because if you do we have to find another word for length, and we end up in absurdum resonemang about proper meter proper distance. There is only one meter the actual contraction is *just a factor* not a new meter. And the idea that *ACTUAL DISTANCES* not same between different "vectors and velocities" aka inertial frames is just *SILLY*. The only thing that matter for distance measurement is *LOCATION* in space X,Y,Z and a unit *CONSTANT*. You people should not have ****ed with that constant because now it become a vector and velocity dependent *VARIABLE* and it just do not make sense. And as everyone can see talking about velocities v=d/t with a meter set that is framedependent just do not make sense. [... nonsense based on the above misconception omitted] Snip clip doesn't change fact you do not want people to know that light travel variant in space but invariant between frames. Best regards Jonas Thörnvall Tom Roberts- Dölj citerad text - - Visa citerad text -- Dölj citerad text - - Visa citerad text -- Dölj citerad text - - Visa citerad text - |
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#22
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#23
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On 24 Feb, 11:58, Tom Roberts wrote:
wrote: But i am still very confused about the actual concept, if distances really is a velocity dependent artefact. Distance is NOT "velocity dependent", it is PATH dependent. But for observers in two different inertial frames, the natural way of measuring the distance between two objects is along different paths through spacetime, and thus they obtain different values. For example, consider the distance between earth and polaris (considered as fixed points in a single inertial frame). In their mutual rest frame, they are a distance D apart, and this distance is naturally measured along a path which is simultaneous in the earth+polaris frame (that's what we mean by distance measured in a specific frame). An observer in a spaceship moving at 0.866 c relative to the earth+polaris frame measures 0.5 D as the distance between them, and this distance is likewise measured along a path that is simultaneous in the spaceship frame. These two paths are DIFFERENT PATHS through spacetime, and that is why they measure different values. For instance, these two paths have the same objects as endpoints, but they end at them at different points in spacetime (specifically different values of time, measured in either frame). Distance is always path dependent, in any manifold. The distance from Chicago to New York is different if one measures via New Orleans or measures along a straight line. In this case the straight-line value is clearly what we normally mean by "distance", as it is measured along a spatial geodesic. But in the earth/polaris case above BOTH paths are spatial geodesics. In spacetime, the distance between two objects is analogous to the distance between two parallel lines in Euclidean geometry: | | |* | | * | | * | | * | | * | | *| | | |------| | | Clearly the "distance between the parallel lines" is different for the - path and the * path, but both paths are spatial geodesics. In spacetime the parallel lines are the objects' worldlines (extending along the time axis of their mutual rest frame); due to the hyperbolic structure of spacetime the - path (i.e. the distance in the earth-polaris frame) is larger than the * path (in the spaceship frame). Would that really imply that each velocity vector(inertial frame) has it's own universe. No. For the same reason the two different Chicago-New York distances do not imply the two measurements have their own USA. And for the same reason the different distance for the * and - paths do not imply they have their own planes. [... nonsense based on the above misconception omitted] Tom Roberts If any of you SR promotors really think that light actually travels invariant through space. Tell me. Ship travel 0.9999 pass planet origo along x-axis lightpulse sent straight along y-axis. At t0 passing origo. t0=0 t1=1 sek 1. Distance between ship and pulsefront t1 (origo planet frame)? 2. Distance between planet and pulsefront t1 (origo planet frame)? To have light invariant the above would have to be the same you can not chase light, you know that as well as i am. 3. At t1 the time passed in frame origo is one second. How far have the light travelled from planet origo. 4. At t1 the time passed in frame ship only 0.01414 sec So tell me how far have light travelled from within the ship frame at moment t1. You know as well as i you can not answer these question because the answers would make SR an invalid theory, so you all will duck the questions. But i just felt i had to notice those who still beleived SR to be a working theory. Best regards Jonas Thörnvall |
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#24
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wrote in message ups.com... [snip] If any of you SR promotors really think that light actually travels invariant through space. We know that every human who ever tried to measure the speed of light, found the same value, no matter where it came from. We have learned to live with that. Tell me. Ship travel 0.9999 pass planet origo along x-axis lightpulse sent straight along y-axis. At t0 passing origo. t0=0 t1=1 sek 1. Distance between ship and pulsefront t1 (origo planet frame)? 2. Distance between planet and pulsefront t1 (origo planet frame)? In the ship's frame the pulse has trajectory x' = 0 y' = c t' so in the planet's frame it has trajectory g ( x - v t ) = 0 y = c g ( t - v/c^2 x ) giving pulse trajectory: x = v t y = sqrt(c^2-v^2) t The ship has trajectory x = v t y = 0 So, according to the planet, the distance between ship and pulse at time t is d = sqrt(c^2-v^2) t and the distance between ship and the planet at time t is d = v t Note that, according to the ship, the pulse between itself and the pulse at time t' is d' = c t' To have light invariant the above would have to be the same To have light invariant, everyone measures the speed of the pulse with respect to himself to have the value c. That is by *definition* what is meant by what you call "invariant light". you can not chase light, you know that as well as i am. 3. At t1 the time passed in frame origo is one second. How far have the light travelled from planet origo. Use the trajectory of the pulse in the planet's frame: x = v t y = sqrt(c^2-v^2) t giving distance d = sqrt( x^2 + y^2 ) = ... = c t 4. At t1 the time passed in frame ship only 0.01414 sec So tell me how far have light travelled from within the ship frame at moment t1. Explain what you mean exactly with the phrase "At t1 the time passed in frame ship". Keep in mind that you are talking about two clocks he (1) the clock on the planet showing t1, and (2) a clock on the ship. Moment t1 is an event on the planet. Not on the ship. Use variables in stead of numeric values. Dirk Vdm You know as well as i you can not answer these question because the answers would make SR an invalid theory, so you all will duck the questions. But i just felt i had to notice those who still beleived SR to be a working theory. Best regards Jonas Thörnvall |
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#25
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On 25 Feb, 14:53, Tom Roberts wrote:
wrote: On 24 Feb, 11:58, Tom Roberts wrote: Distance is NOT "velocity dependent", it is PATH dependent. But for observers in two different inertial frames, the natural way of measuring the distance between two objects is along different paths through spacetime, and thus they obtain different values. Yes Tom distance is velocity dependent Saying that is FAR too imprecise -- you MUST say what you mean by "distance". For instance, "distance between objects at rest in this inertial frame measured in this frame", is completely independent of the motion of that frame. But as I showed before, the "distance between these two objects at rest in inertial frame A measured in inertial frame B" depends on the relative motion of A and B -- but this is MUCH better understood as a path dependence rather than a "velocity dependence" (or even a "relative velocity dependence"). The pulsefront is receeding with a velocity of 424 264 km/s from earth but only receeding with 300 000 km/s from earth [TYPO? one of those "earth"s should be "ship"] I was discussing only your statement about "distance as a velocity-dependent artifact". But if this pulsefront is a light pulse propagating in vacuum, your statement here is wrong. Ok you want to call a distance a path I do not do so -- "distance" and "path" are quite different concepts.. Distance is inherently measured ALONG a path. And between a given pair of objects there can be many different paths between them, and many different values of distance along those paths. Yes i know and when i refer to path i mean a straight line between two objects, also known as flight path/distance, i do not mean a wrinkled paper, sometimes refered to as spacetime no vacuum do not budge. Contrary to *POPULAR BELEIF* a object travel at velocities close to c can not distort the cordinate system the planets it travel by stars will not budge to the object, and the spacetime will not be wrinkled like a sheet. Because spacetime do not exist outside the concept of SR and Miskowsky spacetime, so no distances do not get shorter with higher velocities. That someone pulled of to make people think so is actually a major psycologial achievment. However it is possible that *TIME* distorts and i have not trouble with that, i even can buy deformation of the travelling object itself. However the space itself will not budge for the object it will be there going on in it's own paste. Tom that you beleive that there are more then one straight line in space between two points in space, does not necessarily mean i have to share that beleif. Actually you beleive there are as many such lines of different lengths A to B distances in space, that there are paths in spacetime. *I* do not share that beleif. I beleive all the ships travel in the same cordinate system and that system will not budge nor deformate whatsoever just because of the velocity of the ship. It is the other way around you see, maybe and just maybe the local time is affected i highly doubt the contraction of object but it may be there or may just be a mat Ooops in hurry later To qualify as "distance measured in inertial frame A", the path used must be simultaneous in frame A. I claim that different inertial frames have different lightpath lengths but i would say distances. Yes, differently-moving inertial frames will measure different distances IN EACH FRAME for the path that a given light pulse travels. This is so because the foliation of spacetime into space and time is different for different frames, and the "distance along the light path measured in this frame" is inherently measured in the spatial submanifold of that frame. This is a different way of describing the path dependence I described earlier, because "distance in this frame" is always measured along a path that is simultaneous in that frame -- for a given light ray the measurement of distance will be along different paths in different frames. So why would then different frames measure light velocity to be invariant d/t. Well if you let a defined constant the meter be a circular argument with a built in idea of light propagating invariant in space , it is actually unavoidable due to definition. So use a pre-1983 definition of the meter. Still the speed of light in vacuum is invariant (had this not been solidly established before 1983, the meter would never have been redefined). Yes, different frames measure different "distance traveled by the light pulse measured in this frame", but they also measure different flight time intervals for that light pulse, and the ratio is independent of frame. The different frames measure both "distance traveled by the light pulse" and "travel time of the light pulse" along different paths, but the geometry of SR is such that the ratio is independent of frame; the world we inhabit is observed to be fully consistent with this (locally). But more probably people at the SI was mislead by scientists to beleive that light travels invariant through *SPACE*, which it obviously do not. You are confused, at least in part by your lack of precision. Different inertial frames have a different view of what "space" means. And a different view of what "time" means. This COMPLETELY resolves the issue. Tom Roberts |
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#26
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On Feb 25, 9:02 am, wrote:
But i just felt i had to notice those who still beleived SR to be a working theory. a) You can minimise the effect of a moving skunk by moving wrt the skunk spatially or temporally or both. b) a^2 + b^2 = c^2 Do you agree ? Because that is about all SR says: "The [ ] Incompatibility of the Law of Propagation of Light with the Principle of Relativity [is only] Apparent" http://www.bartleby.com/173/7.html Time-independent Maxwell equations Time-dependent Maxwell's equations Relativity and electromagnetism http://farside.ph.utexas.edu/teachin.../lectures.html Maxwell's equations in classic electrodynamics (classic field theory)_ a) Maxwell equations (no movement), b) Maxwell equations (with moved bodies) http://www.wolfram-stanek.de/maxwell...assic_extended As for Tom's gyrations about inertial frames: A Lorentz transformation or any other coordinate transformation will convert electric or magnetic fields into mixtures of electric and magnetic fields, but no transformation mixes them with the gravitational field. http://www.aip.org/pt/vol-58/iss-11/p31.html Sue... Best regards Jonas Thörnvall- |
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#27
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#28
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On 22 Feb, 12:33, wrote:
Given a X,Y,Z cordinate system with "earth in origo" a spaceship "A" travels along X axis in a velocity close to c. Assuming the side of spaceship is along the Y axis and a pulsecanon is aligned along Y(side of ship) it fire a pulse of one Plank length in a straight line along Y. 1. What will the actual trajectory of the pulse be? (will it not at all be affected by the ships trajectory and travel in a straight line along Y, i have a hard time to imagine it travelling in a straight line parallell with ship c along the X axis but maybe it will?) or maybe it will take have a trajectory like a ball thrown from a car left side but that would be a velocity dependent trajectory dependent on ~c and c? 2. Maybe a very stupid question, is it possible for the pulse(given a light pulse) to expand not only in a positive direction from the pulse canon? Maybe it is not quite clear what i mean, must the pulse always travel positive from the emitter given a light or radio pulse, even if the emitter is an object moving at ~c. Could anyone be so kind make plot the trajectorie for me assuming planet earth at rest in origo and ship travel positive along x-axis. The ship passing origo "earth frame t0 sec" firing pulse postive in y- axis could anyone plot out for me "ship" and "pulse front" respective origo "earth frame t1 sec". Where is lightpulse with respect to origo "earth" anyone? The ship travels very close to ~c let us say indistinguasable. I would also like to know how the trajectory would look in 0.9 0.8 0.7 0.6 c ...... and so on if someone got the time. Best regards JT So.... when? |
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#29
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On 22 Feb, 14:56, wrote:
On 22 Feb, 14:25, "Dirk Van de moortel" dirkvandemoor...@ThankS-NO- SperM.hotmail.com wrote: wrote in ooglegroups.com... [snip] Ok i am lazy is there a simple freeware graph program someware. Su http://www.google.com/search?q=free+...tware+download Dirk Vdm Hello Dirk if i understand correct (plotted correct) the ligh pulse will travel straight along the y-axis without deformation, regardless of speed. That makes me wonder a little, because after t1(earth/planet time 1 sec) the light beam have travelled 300 000 km relative earth. But for the ship *distance* to pulsefront we would have to use pythagoras theorem correct? 424 264 km That would be the distance as measured from earth frame between ship and pulsefront correct? Assume velocity ship 0.9999 c we have a dilation factor of 1/70.7 sec for inertial frame A ship. 1 sec earth frame =0.014144 ship frame Should i conclude that the distance to pulsefront from within the shipframe is 0.01414*424 264 ? And that the distance to earth is 0,01414*300 000? Is there other distances from within the ship frame to the pulsefront and planet? "At moment t1"=clock 1 sec passed earth frame. I know that length contraction occur in the ship frame does this apply for space and things outside the ship? Is there such a thing as distance contraction in SR or does it only refer to the actual things belonging to the moving frame? In my mind it would be natural to have the distance as a constant between the frames 300 000/0,01414 and 424 264/0,01414 but that is of course wrong according to SR. Is distance really variant between frames in SR? And what about the hypotenusa argument is that really invoked in SR? Best regards Jonas Thörnvall Yes it certainly has....................... |
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