Acceleration thought experiment

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SUMMARY

The discussion centers on the thought experiment comparing a laboratory at rest in a gravitational field to one undergoing constant acceleration. Participants clarify that when light of a known frequency is emitted from a height, both scenarios result in a blue shift due to gravitational effects. The confusion arises from the misconception that acceleration would lead to a redshift, which is incorrect. Ultimately, both laboratories experience blue shift effects, emphasizing the equivalence principle in general relativity.

PREREQUISITES
  • Understanding of general relativity principles
  • Familiarity with gravitational fields and their effects on light
  • Knowledge of light frequency and Doppler effects
  • Basic concepts of acceleration and inertial frames
NEXT STEPS
  • Explore the equivalence principle in general relativity
  • Study gravitational redshift and blueshift phenomena
  • Learn about the Doppler effect in different reference frames
  • Investigate experimental setups for testing relativity theories
USEFUL FOR

Physicists, students of relativity, and anyone interested in the implications of gravitational effects on light propagation.

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In the thought experiment about the laboratory at rest in a gravitational field and another at a constant acceleration, could one not tell the difference by firing light of a known frequency from a height above you, in the gravitational laboratory the light would get blue-shifted, while in an accelerating lab you would get redshift? is this the case?
 
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Both would get blueshifted.
 
In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

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