Does continuous acceleration eventually create a black hole

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Discussion Overview

The discussion centers on the relationship between continuous acceleration, relativistic mass, and the potential for creating a black hole. It explores concepts from both special and general relativity, including the nature of mass, energy, and gravity, as well as implications for objects moving at relativistic speeds.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants question whether the mass caused by high velocity has gravitational effects.
  • Others clarify that in general relativity, gravity is sourced from the energy-momentum tensor rather than mass alone.
  • A participant proposes that momentum could be influenced by gravitational effects, particularly in the context of GPS satellites and their relativistic energy.
  • Another participant challenges the relevance of gravitational constants in the momentum equation, asserting that it does not apply in special relativity.
  • Some argue that the concept of relativistic mass is outdated and that applying Newtonian gravity to special relativity leads to misunderstandings.
  • One participant asserts that despite moving at relativistic speeds, individuals do not exhibit signs of becoming black holes.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the role of relativistic mass and gravity in the context of continuous acceleration and black hole formation. There is no consensus on the implications of relativistic mass or the validity of applying Newtonian concepts to relativistic scenarios.

Contextual Notes

Some claims rely on definitions of mass and energy that may not be universally accepted, and the discussion includes unresolved mathematical interpretations regarding the influence of gravity in relativistic contexts.

ddesaneis
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The following equation equates relativistic mass to rest mass
rimg228.gif

http://scienceworld.wolfram.com/physics/RestMass.html

Does the mass caused by high velocity have gravity?
 
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In general relativity, mass is not the source of gravity, the energy-momentum-tensor is and it also contains information about mass.

You should also read this:
What is relativistic mass and why it is not used much?
Physicists do not talk much about rest mass simply because it is an archaic concept which only tends to confuse the general public.
 
That expression for momentum is correct, but it has nothing to do with the gravitational constant (neither G nor anything derived from it appears).

There's another way of thinking about the question in your original post: right now, even as we speak, you are moving at 99.9999% of the speed of light relative to something somewhere. Are you showing any signs of turning into a black hole?
 
The momentum equation does not include the influence of relativistic mass from gravity, but should.

Nugatory said:
There's another way of thinking about the question in your original post: right now, even as we speak, you are moving at 99.9999% of the speed of light relative to something somewhere. Are you showing any signs of turning into a black hole?

If a GPS satellite returns from orbit to launch site, the relativistic energy within the satellite will correspond to the gravity and velocity (v) of the launch/return site.
https://www.uam.es/personal_pdi/ciencias/jcuevas/Teaching/GPS_relativity.pdf
 
ddesaneis said:
The momentum equation does not include the influence of relativistic mass from gravity, but should.
No it should not. It is a special relativistic equation and there is no gravity in SR. In addition, when you go to GR it becomes a local statement which is still true. Furthermore, relativistic mass is an obsolete concept and you are trying to apply Newtonian gravity to SR rather than going into the actual GR description. This is doomed to fail and to create misunderstandings.
 
The answer to the OP question, as has been said several times, is "no". Enough said. Thread closed.
 

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