Namloh2000
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what the heck is motion anyway??
How can things even move?
How can things even move?
MiGUi said:Let be an object in a n-dimensional space. If we have a frame system and it base of n independent coordinates {x_1, x_2, ..., x_n} to refer its position, we say that the object is moving or is variating its j-esim coordinate if
\frac{dx_j}{dt} \ne 0
Math is cool![]()
selfAdjoint said:At those speeds, the deviation between the correct relativistic addition formula and the approximate linear one are too small to measure without special equipment, so the linear answer 30 mph is OK. Now try it with the speeder going .9c relative to Earth and the radar going .6c.
selfAdjoint said:At those speeds, the deviation between the correct relativistic addition formula and the approximate linear one are too small to measure without special equipment, so the linear answer 30 mph is OK. Now try it with the speeder going .9c relative to Earth and the radar going .6c.
p-brane said:"Massless objects like photons don't have rest frames, so the reasoning doesn't work for them."
p-brane said:Photons would not be photons if they were at rest. Yes?
selfAdjoint said:Never. "I'm emitted/I'm absorbed. End of story." Now, WE see it as traveling for billions, maybe, of years, but that's us and our relation to it. In its own relation to itself it is timeless. And its path through spacetime is a Null Geodesic, an arc along which proper time is always zero.
p-brane said:However, if I were a photon, with my senses intact, traveling at c I may not notice the time but I would notice the Null Geodesic arc tugging at my relativistic mass as I sped along it.
selfAdjoint said:And its path through spacetime is a Null Geodesic, an arc along which proper time is always zero.
I've never heard of this term (Null Geodesic) and the closest I've come to understanding it is when I read the above quote.selfAdjoint said:Even as a massive object, you don't feel "gravity tugging" as you travel along a geodesic (i.e. fall). You may feel the wind in your face, but astronauts in zero-g and skydivers do not feel gravity.
selfAdjoint said:Even as a massive object, you don't feel "gravity tugging" as you travel along a geodesic (i.e. fall). You may feel the wind in your face, but astronauts in zero-g and skydivers do not feel gravity.
loseyourname said:Okay, back up a little here. What is the distinction that you are drawing between accerelation due to gravity and all other types of acceleration? I mean, g-force or not, I can feel the acceleration when I take my foot off the brake of my car, and it isn't a fast car. Are you basically saying that when an object accelerates due to gravity, because it is simply following the normal curvature of spacetime, that it feels nothing? But if is accelerating due to some other force, it will be felt because it is then not moving along the normal curvature?
mikesvenson said:The freefall concept works about the same way. You first have to accelerate up to the speed of gravity, and that's the only acceleration you feel.
NateTG said:What happens is that in non-euclidean geometries, the notion of 'straight line' gets a bit wierd.
Imagine an ant walking along the surface of a cylinder. Even though the ant is walking along a 'locally straight line' (a geodesic), it's walking along something that we (as outsiders) might percieve as a curved line. Similarly, if the ant is walking in a locally straight line on a moving turtable, although the ant is moving in a locally straight line, the path it describes is not straight.
Classically, it's assumed that space-time is euclidean (or flat), so a 'locally straight' line is also a straight line. And that gravity is a force that perturbs motion that would otherwise go along this straight line. Einstein postulated that the path that an object takes under the influence of gravity is the 'locally straight' path. This is intemately related to the notion that gravitational and inertial massess are the same. Since we can describe the paths that objects take under the influence of gravity, we can plot them, and describe the 'shape' of space-time.
It's also worth noting that for GR to work, you have to imagine a 4D warped space (which would be embedded in 5-space) and not a 3D space, since GR includes time as one of the dimensions.
p-brane said:Is it only light that (appears to) travel as fast as light?
loseyourname said:You're a little bit off, because there is no such thing as a speed of gravity.
selfAdjoint said:The misnamed g-forces that pilots feel during maneuvers have nothing to do with gravity. From a spacetime viewpoint, those maneuvers are highly non-geodesic.
Les Sleeth said:Actually, fairly recently I believe, gravity was confirmed to travel at light speed.
loseyourname said:That statement was made in reference to the speed of a falling object pulled by gravity, not the speed of the propagation of gravity waves, which as far as we can tell, do travel at the speed of light. In contrast, a falling object will never move at constant speed in the absence of air resistance.
p-brane said:There is a speed of [the effect of gravity. Gravity, as a source of the The most important part of my question is whether or not gamma, Xradiation, Ultraviolet waves, Infared, neutrinos and other incidental electromagnetic spectrums all "travel" at the "speed of light". (?)
Nutrinos are the part of electromagnetic spectrum?Since when?p-brane said:whether or not gamma, Xradiation, Ultraviolet waves, Infared, neutrinos and other incidental electromagnetic spectrums all "travel" at the "speed of light". (?)
RAD4921 said:All motion is relative to its frame of reference. To speak of absolute motion is meaningless.
RAD4921 said:Motion can only appear if you are using a frame of reference, comparing one part of the universe to another. If you use the universe as a whole for a frame of reference then motion doesn't exist. It is an illusion.
TeV said:Nutrinos are the part of electromagnetic spectrum?Since when?
Neglecting "neutrinos" in the package ;-):Electromagnetic waves all "travel" at the "speed of light" in vacuum regardless of their frequency.Great J.C.Maxwell concluded this first.
Quote from SelfAdjoint"From a spacetime viewpoint, those maneuvers are highly non-geodesic
Loren Booda said:We infer motion by feeling the vector boson (photon, graviton) action impingent upon us.