Ascenxion
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In terms of general relativity, what does this question mean?
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The discussion revolves around the question of why only one object feels accelerated in the context of general relativity. Participants explore the implications of this question, particularly in relation to forces, frames of reference, and the distinctions between inertial and non-inertial frames. The scope includes theoretical considerations and conceptual clarifications related to general relativity and special relativity.
Participants express differing interpretations of the question and its implications, indicating that multiple competing views remain regarding the nature of acceleration and frames of reference in general relativity and special relativity. The discussion does not reach a consensus.
Limitations include potential misunderstandings of the terminology used, such as "equivalent frames of reference," and the need for further clarification on the distinctions between inertial and non-inertial frames in the context of gravitational fields.
Ascenxion said:In terms of general relativity, what does this question mean?
Thanks.
After completing his theory of special relativity, Albert Einstein realized that forces felt by objects undergoing constant proper acceleration are indistinguishable from those in a gravitational field. This was the basis for his development of general relativity, a relativistic theory of gravity. This is also the basis for the popular twin paradox, which asks why one twin ages less when moving away from his sibling at near light-speed and then returning, since the non-aging twin can say that it is the other twin that was moving. General relativity solved the "why does only one object feel accelerated?" problem which had plagued philosophers and scientists since Newton's time (and caused Newton to endorse absolute space). In special relativity, only inertial frames of reference (non-accelerated frames) can be used and are equivalent; general relativity considers all frames, even accelerated ones, to be equivalent. (The path from these considerations to the full theory of general relativity is traced in the introduction to general relativity.)
I don't know what they mean by "equivalent frames of reference", but in GR still only inertial frames have the same physical laws: local experiments give the same results in all of them. The new thing in GR is that free falling frames in a small region of a gravitational field are considered inertial too, so you can use SR there.Wikipedia said:In special relativity, only inertial frames of reference (non-accelerated frames) can be used and are equivalent; general relativity considers all frames, even accelerated ones, to be equivalent.