Equivalence between a Black Hole and travelling at the speed of light

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SUMMARY

This discussion centers on the equivalence between the behavior of light near a black hole and at relativistic speeds, specifically the speed of light. Participants clarify that, according to the principles of special relativity, light always travels at speed c in any inertial frame, regardless of the observer's motion. The conversation also touches on the equivalence principle, which states that local observations in freefall match those in inertial frames, and discusses the implications of time dilation and length contraction as described by Lorentz transformations. The discussion emphasizes that there is no absolute frame of reference in relativity, making the perception of speed and light propagation relative to the observer's frame.

PREREQUISITES
  • Understanding of Special Relativity, including the speed of light (c) and inertial frames.
  • Familiarity with the Equivalence Principle and its implications in General Relativity.
  • Knowledge of Lorentz transformations, time dilation, and length contraction.
  • Basic concepts of black holes and event horizons in astrophysics.
NEXT STEPS
  • Study the Equivalence Principle in detail, focusing on its applications in General Relativity.
  • Explore Lorentz transformations and their effects on time dilation and length contraction.
  • Investigate the properties of black holes, particularly event horizons and their implications for light behavior.
  • Learn about the Doppler effect in the context of relativistic speeds and its impact on light wavelength perception.
USEFUL FOR

Physics students, astrophysicists, and anyone interested in the fundamental principles of relativity and the behavior of light in extreme gravitational fields.

  • #61
OK, let's simplify things. Instead of talking about measuring an emitted frequency let's only talk about emitting or receiving a frequency. Let's stipulate that you can perfectly determine the emitted frequency (e.g. using an ideal clock and an ideal waveform synthesizer) and that you can perfectly determine the received frequency (e.g. with an ideal noise free detector and an ideal clock).

Can you re-ask your question in those terms.
 
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  • #62
DaleSpam said:
OK, let's simplify things. Instead of talking about measuring an emitted frequency let's only talk about emitting or receiving a frequency. Let's stipulate that you can perfectly determine the emitted frequency (e.g. using an ideal clock and an ideal waveform synthesizer) and that you can perfectly determine the received frequency (e.g. with an ideal noise free detector and an ideal clock).

Can you re-ask your question in those terms.

Hi DaleSpam. Thanks for your attempts to help me. My interest is in cosmology and I was seeking a simple UNCOMPLICATED answer about emission from these masses and the gravitational potential within which the occur. The conclusions regarding galactic rotation curves etc made from observations still don't make sense to me, but I have decided to back off from trying to extract a "rule of thumb" regarding how GR affects our observations. As you say, we seem to be going in circles. I thank you for your patience. Regards. Pierre.
 
  • #63
Pierre007080 said:
Hi DaleSpam. Thanks for your attempts to help me. My interest is in cosmology and I was seeking a simple UNCOMPLICATED answer about emission from these masses and the gravitational potential within which the occur. The conclusions regarding galactic rotation curves etc made from observations still don't make sense to me, but I have decided to back off from trying to extract a "rule of thumb" regarding how GR affects our observations. As you say, we seem to be going in circles. I thank you for your patience. Regards. Pierre.
You are quite welcome. For an uncomplicated answer I would just stick with post #35, everything else is just window-dressing and confusion.
 

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