The formula that accounts for the Doppler shift has a very good experimental support. Deriving it we first derive the classical Doppler shift formula and involve the formula that accounts for the time dilation effect in order to transform the coordinate time intervals in proper ones.
Could we...
That is one of the papers in which length contraction is derived without simultaneous detection of the space coordinates of the ends of the moving rod
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How to obtain the Lorentz space contraction formula...
Thanks Neopolitan
1. I have mentioned in a previous thread that the Lorentz contraction could be derived without imposing simultaneous detection of the space coordinates of the ends of the moving rod.
2. Consider that a source of light located at the origin O of I emits a light signal at t=0...
I think we could breath more life into the problem.
Consider an experiment in which an observer of I located at the origin O of its rest frame measures the velocity V of the origin O' of I'. He uses a rod at rest of proper length L0 and measures the coordinate time interval T during which O'...
Thanks.
YES if we start with the Lorentz transformations in order to derive the formulas that account for the different relativistic effect.
Kind regards
Thanks for your answer. As an old teacher of physics I have studied the different ways in which the Lorentz transformations could be derived.
1. I learned a lot from Paul Kard [1] who derives first the formula that accounts for the length contraction, which leads him to the formula that...
What is so great with time dilation?
1. In teaching it can be derived from the two postulates and from Pythagoras' throrem.
2. It leads directly to length contraction.
3. Length contraction leads directly to the Lorentz transformations.
4. Lorentz transformation lead directly to the formulas...
I think that in order to help the learner there are a lot of thinks which should be mentioned.
1. Length contraction is obtained from the Lorentz transformations if in one of the involved inertial frames a simultaneous detection of the moving rod is performed. Recent papers have shown that the...
Thank you for your answer. The last case you mention is very interesting, because length and time intervals are related by the Doppler factor in an electromagnetic wave. The light signal generates in I the event (x;ct) whereas in I' the event (x';ct'). The cortresponding Lorentz transformations...
Is
(T0/T)(L/L0=1 an important consequence?
I think that all we discuss there is a conswequence of the standard clock synchronization and of the measurement procedures. In general we ca have length contraction, length dilation and no disrtion at all.
Please let me know how would describe physicists, who avoid the use of the concept of relativistic mass, the experiments performed by Bucherer, Kaufmann and Guye and Lavanchy [1] in order to confirm m=gm(0)? What would be the corresponding terminology?
[1] A.P. French, Special Relativity...
Consider that physicists repeat with high accuracy the experiments performed in 1900 in order to determine the speed dependence of mass (in a modern language the relationship between rest mass and relativistic mass of an electron). Consider that the equation m=gm(0) best fits the experimental...
Start with the definition of the change in kinetic energy
dW=Fdx=m(dV/dt)V(dt)=mVdV (1)
Integrating (1) with the initial condition V=0; W=0
W=mV2/2
Are all your questions answered?
Thanks for your answer. Consider please the following definition of the Dopper Effect:
The Doppler Effect is concerned with two pair of events: The emission of two successive wave crests by the source and the reception of the corresponding wave crests by the observer. What we have to compare...
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Advanced Series on Theoretical Physical Science - Vol. 4
SPECIAL RELATIVITY AND ITS EXPERIMENTAL FOUNDATION
by Yuan Zhong Zhang (Academia Sinica, China)
This book is...