The approximation of classical mechanics

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Discussion Overview

The discussion revolves around the nature of classical mechanics as an approximation and its validity as a theory compared to general relativity (GR). Participants explore the definitions of "correct theory," the implications of different theoretical frameworks, and the philosophical aspects of truth in scientific modeling.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • Some participants argue that classical mechanics is fundamentally incorrect due to its reliance on assumptions that may not hold true, yet it provides accurate predictions within its regime.
  • Others question the definition of "correct theory," suggesting that without a clear definition, the discussion remains ambiguous.
  • A participant expresses skepticism about the notion that a theory's accuracy in predictions equates to its correctness, emphasizing the differences in fundamental principles between theories.
  • One participant proposes that the purpose of scientific models is not to uncover absolute truth but to provide good predictions within their applicable range.
  • Another participant raises the question of whether Newtonian physics is more "real" than the Lagrangian formulation, indicating a philosophical inquiry into the nature of different formulations of mechanics.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of classical mechanics or the criteria for a "correct theory." Multiple competing views remain, particularly regarding the relationship between theoretical frameworks and their predictive capabilities.

Contextual Notes

Participants express uncertainty about the definitions and assumptions underlying their arguments, particularly regarding what constitutes a "correct" theory and the implications of different theoretical approaches.

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Rehashing this topic because I believe a clear misconception is stated in many threads. Classical mechanics is an incorrect ( by the definition of correct ) theory which is only an approximation that uses incorrect assumptions ie. Constant time but yet makes accurate predictions in its regime. GR replaces the very fundamental principles of classical mechanics with other principles to describe the same regime as well as an extended regime. That being said is classical mechanics a correct theory?
 
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Hard to say until you state the definition of "correct theory" that you're using...

Meanwhile, the old-timers here are rolling their eyes and muttering that "https://chem.tufts.edu/answersinscience/relativityofwrong.htm
 
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Nugatory said:
Hard to say until you state the definition of "correct theory" that you're using...

Meanwhile, the old-timers here are rolling their eyes and muttering that "https://chem.tufts.edu/answersinscience/relativityofwrong.htm

Thank you for the article but I still don’t feel that suffices based on the way I presented my question. It’s not a matter of accuracy ( decimal places) if 2 theories regardless of them accurately describing the same thing use totally different fundamentals. One theory with forces and another without forces describing the same phenomena “accurately”.
 
My definition in this context of the word correct is that nature abides by rules that can be described entirely( which obviously it may not ) but that is my assumption.
 
see the "classical physics is wrong" insight
 
gmax137 said:
see the "classical physics is wrong" insight

Thank you, I don’t see much of a consensus their. And the idea that because a theory gives you the correct answer in a certain domain makes it correct doesn’t sit well...
 
i think the idea is, you can never know if your model is "correct" rather all you can know is if it gives good predictions. within its range.

many are disappointed to find the purpose is not to find "the truth".

but the truth is unknowable
 
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gmax137 said:
i think the idea is, you can never know if your model is "correct" rather all you can know is if it gives good predictions. within its range.

many are disappointed to find the purpose is not to find "the truth".

but the truth is unknowable

That could be the case but it could not be as well. I think it is plausible to imagine a set of rules which in and of themselves are the very thing you are describing.
 
Even within the realm of classical mechanics, why would Newtonian physics with forces be more "real" than the Lagrangian formulation?

These kind of musings are not within the scope of PF, so thread closed.
 
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