The velocity of a moving frame of reference

In summary, the conversation discusses an experiment involving a moving frame of reference (MFR) and two identical train carriages, one of which can move while the other cannot. The experiment also involves two identical clocks attached to the train tracks, and a light tube inside one of the train carriages. When an electric pulse is sent down the wire from the light tube, it makes a mark on the train track, allowing the position of the train at the time the pulse was sent to be known. The time it takes for light to traverse the length of the light tube is measured by the clocks, and the velocity and direction of the MFR can be calculated based on this. However, there are some errors with the analysis of the experiment,
  • #106
RossBlenkinsop said:
In fact I think it is even confirmed by experiment where a very accurate "moving" clock apparently lost time
Presumably you mean the Hafele-Keating experiment, and if so you have misunderstood the result. It is demonstrating the twin paradox in which two clocks are synchronized, one of them flies somewhere else, and then when they are brought back together less time has passed on the traveling clock. It's tempting (but wrong) to explain this as time dilation and "time slows down for the moving clock"; but this leads to a paradox because we could just as well say that the on-the-ground clock is the moving one and therefore it's the one that should have lost time. The resolution of the "paradox" is that time dilation isn't what's going in this experiment.

However, you probably don't want to take on the problem of understanding the twin paradox until you have corrected your basic misunderstandings about what a frame is and the distinction between points in spacetime and points in space. For that, I will second @Ibix's recommendation of Taylor and Wheeler - their presentation gets to these issues early and thoroughly.
 
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  • #107
if the speed of light is invariant, then according to all frames light will always trace back to a point in space or in space time (you choose) that does not move over time , over all time

it could be a single point, according to multiple people in multiple frames or multiple points according to multiple people in multiple frames , it is immaterial. What is of interest is the points appear to be in the same point in space or the same point in space time, over time, over all time. Ie if the same experiment of tracing light back to its source is conducted over and over and over , over a time period , by the same person in the same frame, they should get the same result if the speed of light in in fact invariant.

if they get a different result then the speed of light is variant ?
 
  • #108
Many posts back in this thread we cautioned you about using the phrase "a frame is moving" - it is easily misunderstood and you have misunderstood it here. A frame is a mathematical convention for assigning coordinates to points in space and events in spacetime, and mathematical conventions don't move.

this "convention" is based on the premise that a person within a frame cannot determine the absolute velocity of that frame, should it have an absolute velocity or only a relative velocity

as no one can determine if the frame which they are in has an absolute velocity or not no one can say it definitely does not have a velocity or it definitely does

I believe a frame is a mathematical convention that is based on a real world phenomena. It seems somewhat pointless to have a mathematical representation of something that simply cannot exist for example a mathematical model of the physiology of a unicorn or a mathematical model of the pressure differentials in the feet of Yetis
 
  • #109
one of them flies somewhere else, and then when they are brought back together less time has passed on the traveling clock.

which clock was traveling ? what does "travelling" mean ?

the experiment as I understood it is they synchronized some very accurate clocks, had one clock in a frame, put another clock in another frame and another clock in another frame again, the frames moved relative to each other. Later they all met back at a point where all clocks were in the same frame and compared the clocks. The results were time passed at a different rate in the frame that the experimenters deemed was moving !
 
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  • #110
RossBlenkinsop said:
my question has still not been answered

if the speed of light is invariant, then according to all frames light will always trace back to a point in space or in space time (you choose) that does not move over time , over all time

on what basis do any of you assert that absolute movement, or lack of absolute movement aka absolute stillness, is not possible ? or is somehow a freakish outcome
Since both of your statements are trivially false, there is no logical answer. You might as well ask:

Since 1+1 is 3, how can you say there are no pink flying pigs?
 
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  • #111
RossBlenkinsop said:
one of them flies somewhere else, and then when they are brought back together less time has passed on the traveling clock.

which clock was traveling ? what does "travelling" mean ?

the experiment as I understood it is they synchronized some very accurate clocks, had one clock in a frame, put another clock in another frame and another clock in another frame again, the frames moved relative to each other. Later they all met back at a point where all clocks were in the same frame and compared the clocks. The results were time passed at a different rate in the frame that the experimenters deemed was moving !
No, as has been explained many times. If between two points on a plane, you draw two different length lines, each will be at an angle to the other along various comparison lines you may choose to draw between them. However the difference in length is simply a fact of the difference in curves you draw. Similarly, between two spacetime paths between separation and meeting events, each path is in motion relative to the other (different spacetime angles), but one path is simply longer in time than the other. In plane geometry, the shortest possible line is a geodesic. In special relativity, the longest possible time is a geodesic, which means an inertial path.

The result of comparison on meeting again has absolutely nothing to do with with the experimenter rest frame, or any frame at all. It is a frame independent fact.
 
  • #112
RossBlenkinsop said:
a point in space or in space time (you choose)

This is nonsense. A point in space is not the same as a point in spacetime.

You have received repeated correct explanations. Enough is enough. Thread closed.
 
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