Special theory theory oe relativity

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will the same energy be liberated if electron and positron are annihilated in the moving train and on the railway platform
 
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Hi, sharma_satdev -- Welcome to Physics Forums!

You might want to use more descriptive titles when you start threads. This entire sub-forum is about relativity.

Mass-energy is conserved in both frames. In the center of mass frame, there is less mass-energy initially, so there is also less mass-energy in the final state consisting of the two photons.

Whether the difference between the two frames should be considered as a difference in energy "liberated" is a different issue. Say you're going to use the radiation to power a heat engine. Any process, such as the cycle of a heat engine, has to conserve momentum. Therefore if you consider such a process in a frame other than the c.m. frame, there is always some energy that you can't harvest, because it's locked up in the c.m. motion. In this sense, the amount of energy liberated is the same in both frames.
 
Thread 'Can this experiment break Lorentz symmetry?'
1. The Big Idea: According to Einstein’s relativity, all motion is relative. You can’t tell if you’re moving at a constant velocity without looking outside. But what if there is a universal “rest frame” (like the old idea of the “ether”)? This experiment tries to find out by looking for tiny, directional differences in how objects move inside a sealed box. 2. How It Works: The Two-Stage Process Imagine a perfectly isolated spacecraft (our lab) moving through space at some unknown speed V...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. The Relativator was sold by (as printed) Atomic Laboratories, Inc. 3086 Claremont Ave, Berkeley 5, California , which seems to be a division of Cenco Instruments (Central Scientific Company)... Source: https://www.physicsforums.com/insights/relativator-circular-slide-rule-simulated-with-desmos/ by @robphy
In Philippe G. Ciarlet's book 'An introduction to differential geometry', He gives the integrability conditions of the differential equations like this: $$ \partial_{i} F_{lj}=L^p_{ij} F_{lp},\,\,\,F_{ij}(x_0)=F^0_{ij}. $$ The integrability conditions for the existence of a global solution ##F_{lj}## is: $$ R^i_{jkl}\equiv\partial_k L^i_{jl}-\partial_l L^i_{jk}+L^h_{jl} L^i_{hk}-L^h_{jk} L^i_{hl}=0 $$ Then from the equation: $$\nabla_b e_a= \Gamma^c_{ab} e_c$$ Using cartesian basis ## e_I...

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