Falling Object at c: Relativistic Position Expression for the Attracted Object

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Discussion Overview

The discussion revolves around the relativistic position expression for an object falling towards a massive body, with a focus on whether such an object could theoretically reach the speed of light. The scope includes theoretical considerations of gravity and relativistic effects on motion.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant asserts that nothing with mass can be accelerated to the speed of light, even in extreme gravitational scenarios like falling into a black hole.
  • Another participant agrees with the mass limitation but proposes a scenario involving a small energetic object falling towards a massive body, questioning how to express its acceleration, speed, and position when relativistic effects become significant.
  • A suggestion is made to refer to specific equations available on Wikipedia and other resources for relativistic motion, indicating that these might provide the necessary mathematical framework.
  • A later reply acknowledges the importance of measuring acceleration in a non-accelerating frame of reference, indicating an understanding of the complexities involved in relativistic motion.

Areas of Agreement / Disagreement

Participants generally agree on the impossibility of accelerating mass to the speed of light, but there are competing views on how to approach the relativistic equations for a falling object, and the discussion remains unresolved regarding the specifics of those equations.

Contextual Notes

The discussion includes assumptions about the nature of mass and gravity, as well as the limitations of applying classical equations to relativistic scenarios. There are unresolved mathematical steps related to the transition from non-relativistic to relativistic motion.

Imagine
Gedenke experiment: Falling object upto c?

Bonjour,

I would like to know the relativistic position expression for a falling object that could reach the speed of light.

Thanks.

P.S.: Suppose the only things, that exist in the universe, are a BIG attractive mass and the attracted "object".
 
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Nothing with mass could be accelerated to c.

Even if it were to go into a black hole, starting an infinite distance away, once it crosses the event horizon, it is in a different spacetime.
 
Gedenke experiment: Falling object upto c?

Bonjour Brad,

I shall agree with your mass issue.

Suppose, isolated in the universe , a small energetic object, with zero initial relative speed, somewhere far-far-far away from a non-negligeable gravitationnally attractive accumulation of energy (both with mass equivalence (m & M) for gravitational purpose ).

"m" shall be accelerated by "M", following gravitational effect, right?

While m's speed is within non-relativistic speed, I got no problem to express acceleration, speed and position equations.

What would be these equations when relativistic speed's effect is non-negligeable? (Should I ask this in Theoretical forum?)

P.S.: ............
 
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For relativistic versions of those, some tinkering with the equations here: http://www.wikipedia.org/wiki/Relativistic_equation

might help you to get them.

Also, http://math.ucr.edu/home/baez/physics/Relativity/SR/rocket.html

note that it has the equations you are looking for.
 
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Welcome to Physics Forum, Imagine! :smile:
 
Originally posted by Brad_Ad23
For relativistic versions of those, some tinkering with the equations here: http://www.wikipedia.org/wiki/Relativistic_equation

might help you to get them.

Also, http://math.ucr.edu/home/baez/physics/Relativity/SR/rocket.html

note that it has the equations you are looking for.

Phobos, merci pour votre mot de bienvenue.

Brad, I red the rocket page. I also understand the origin of the following restriction: "The acceleration of the rocket must be measured at any given instant in a non-accelerating frame of reference traveling at the same instantaneous speed as the rocket".

Thanks, that was exactly what I searched.
 
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