When the ship stops at turnaround point the world line is vertical. That means rate is the same for ship's clock and earth's clock, so a 45 degree line in this graph. It is exaggerated on purpose to reflect this fact, but instead of a stoppage of a few seconds it seems like a stoppage of several...
In this paragraph I speak in general of two inertial frames. Both see each other's time slowed down or faster, depending on what kind of time measurement they do. Even so, if what they measure is the time of the other's clock mesh, any accelerated frame always sees that the inertial frame's mesh...
I think I'm beginning to have a clearer vision of the problem and SR in general.
In particular, I understand the thought experiment that I proposed in post #80, about the ship that makes stops during its trip.
The key factor is the two ways of measuring other frame's time. One can follow one...
Not all elements of reality are frame invariants. The real length of a bar, in its rest frame, is a physical element of reality, but it is not frame invariant. Although everyone can calculate the proper length in the rest frame and agree. In that sense it is an invariant.
SR plus Einstein's...
But what physical sense does this anisotropic synchronization criterion have in this case?
Which means that light can take 2 years from Earth to Alpha Centauri but 6 years in the other direction.
It would force to change Lorentz transformations or dilations depending on the direction. I doubt...
The traveler arrived at Alpha Centauri and has been living there for a decade in a planetary habitat. The terrestrial TV transmission arrives with 4 years of delay, and he watches the news in the year 2019. The habitat clock marks year 2023, since it is synchronized with Earth. He also keeps the...
I suppose you are right. But I think that understanding this failure would be enlightening. My reasoning is, If a ship travels to a nearby star that has its clock synchronized with Earth and stops there, it is not necessary for the twin to turn around and complete his trip to know that he is...
Pondering about this interesting debate of accelerations in SR, a thought experiment has come to my mind.
Let's suppose two stars A and B. Along the line between them there are placed buoys with clocks at regular distances. All clocks, including the line and both stars, are synchronized. Stars...
OK. It was not my intention to enter into trite debates, although from the references that I put above I think that I am not alone in the interpretacion.
My main question, summarized, was the following. We have built the ship. The crew asks for a clock display to always know the time on Earth...
I understand that from a mathematical point of view it can be considered that way. Also @Ibix compared it with the time change when coming to Europe (continental). Conventions, frame changes, ... but the fact is that he does not return to the UK younger than his peers. SR, physically, is more...
In Ship frame, Graphs 1, 2, 3, in Earth Frame Graph 4.
Let's assume a simple case, in which a Lorentz boost can be applied.
Each tick of the clock on earth is an event of coordinates (t,0) in the frame of the Earth. Applying the Lorentz boost this corresponds to an event (t',x'). Then the...
Thanks for the responses and sorry for the delay. I have been studying accelerated frames in SR, to understand the key factor that indicated @Sagittarius A-Star, the importance of the sense of accelerations and dependence on distance.
So, this would be roughly the earth display clock on the...
Conventional Twin Paradox. A ship with speed v = 0.8c makes a round trip from Earth and back. It lasts 6 years and on earth 10 years have passed.
The ship carries its own clock and also a computerized clock that always shows the time on earth at that moment.
It is about knowing the T - T'...
New Perspectives on the Relativistically Rotating Disk and Non-time-orthogonal Reference Frames Robert D. Klauber
Some excerpts:
Observers anywhere in the rotating frame and observers in the non-rotating frame all agree on simultaneity.
Although frames agree on simultaneity, it can be shown...
I have been reading more about the Ehrenfest paradox and there is also another interpretation, that all contour rules are in the same circle of simultaneity with respect to the central inertial observer and there would not be Lorentz contraction. While in a rod that moves straight the clocks at...