Is Classical Mechanics Wrong? A Horrible Proof of Its Inadequacy

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Classical mechanics is not "wrong" but rather incomplete, as it serves as an approximation that works well under everyday conditions. The discussion highlights that while classical mechanics fails to account for relativistic effects at high velocities, it remains accurate for low speeds. The Lorentz factor illustrates this limitation, but classical mechanics is still effective for many practical applications, such as engineering and construction. The conversation emphasizes that all physical theories are approximations, and the goal is to find the right balance between simplicity and accuracy. Ultimately, classical mechanics is a robust framework that has proven successful in numerous real-world scenarios, despite its limitations in extreme conditions.
Albeaver
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Basically the title. Take relativity it has the Lorenz factor 1/sqrt(1-(v/c^2)) and if v is not zero it's something that isn't accounted for in classical mechanics. Does that make classical mechanics wrong?
 
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It only makes it "wrong" if you consider an approximation that applies to some situations ( v small relative to c) to be "wrong". If you consider approximations "wrong" then most physics is wrong. Mathematical solutions to real life problems are usually approximations.
 
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No, its not wrong, I would say its imcomplete. As we extend our understanding of the very small, the very large, and the very fast we discover that there are things CM can't explain.

This causes us to extend our theories to explain the discovered anomalies and predict new things. The guiding principle is that the new theories must in the limit of everyday experience predict the same outcomes as Classical Mechanics.

Relativity is a good example when we consider everyday velocities the v^2/c^2 term becomes zero and the equations reduce to classical ones.
 
SR is just incomplete, or rather it's a simplification, but in a some different way.

In the classical physics the (v/c)^2 is usualy omited only, and this is a simplicity also, and that's all story.
 
Classical kinetic energy is the lowest series expansion of gamma,.
Classical mechanics is correct up to and including the second order in v.
 
Many years ago Isaac Asimov (who was a quite capable scientist as well as science fiction author) wrote a pretty decent essay: http://chem.tufts.edu/AnswersInScience/RelativityofWrong.htm
 
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my2cts said:
Classical kinetic energy is the lowest series expansion of gamma,.
Classical mechanics is correct up to and including the second order in v.

But, and unfortunately for such improvised claims, the gamma is a simple classical thing, because easily derivable, for example using the light clock, which is a completely classical entity.
 
Nugatory said:
Many years ago Isaac Asimov (who was a quite capable scientist as well as science fiction author) wrote a pretty decent essay: http://chem.tufts.edu/AnswersInScience/RelativityofWrong.htm

Great essay from a great author and scientist.
 
chuligan said:
But, and unfortunately for such improvised claims, the gamma is a simple classical thing, because easily derivable, for example using the light clock, which is a completely classical entity.

Sometimes the word "classical" is used to mean Newtonian/Galilean, so that relativity and QM are both non-classical. Other people prefer to treat SR as a classical theory because it is a logical extension of classical electrodynamics, and reserve "non-classical" for QM. You appear to be using the word in the latter sense while my2cts is using it in the former sense.

The historical accident that QM and relativity were both shaking up the comfortable Galilean/Newtonian world at the same time may have contributed to the conflicting uses of the word.

Please don't start an argument over this... :)
 
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All physical laws are approximations of reality. Most of physics is finding the appropriate approximations that simplify the problem enough to be solvable, but not too much that the answer is meaningless. So is all physics wrong? Classical mechanics are a great approximation in many situations.
 
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Albeaver said:
Basically the title. Take relativity it has the Lorenz factor 1/sqrt(1-(v/c^2)) and if v is not zero it's something that isn't accounted for in classical mechanics. Does that make classical mechanics wrong?

All of the bridges and skyscrapers ever built and all of the moon landing made so far are just two sets of examples of VAST number of things that show just how right classical physics is. As has been stated in the thread several times, it DOES fail under conditions that are outside normal human experience but that just makes it incomplete, not wrong.
 
  • #12
Physics is right. The absolute proof is the destruction of two cities by weapons created purely from physical theory.
 
  • #13
A horrible proof, yet a proof.
 

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