Rest energy in classical mechanics

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SUMMARY

The discussion centers on the concept of "rest energy" in classical mechanics, with participants asserting that the term lacks meaning in this context. It is established that classical mechanics does not recognize "rest energy" as defined in relativity, where rest energy is equivalent to the rest mass energy (E=mc²). The conversation highlights the distinction between classical mechanics and special relativity, emphasizing that while classical mechanics allows for unbounded internal energy, it does not equate this with rest energy as understood in relativistic physics.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with special relativity concepts
  • Knowledge of energy definitions in physics
  • Basic grasp of thermodynamics and internal energy
NEXT STEPS
  • Research the differences between classical mechanics and special relativity
  • Study the implications of the equation E=mc² in various contexts
  • Explore the concept of internal energy in classical thermodynamics
  • Investigate the limits of energy in classical mechanics versus relativistic frameworks
USEFUL FOR

Physics students, educators, and professionals interested in the distinctions between classical and relativistic physics, particularly in the context of energy concepts.

  • #31
sweet springs said:
You will find the relation E=mc^2.

Yes, but what does that contribute to the topic? In relativity we know that E is the total energy inside the container. How do you prove that in classical mechanics?
 
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  • #32
DrStupid said:
In relativity we know that E is the total energy inside the container. How do you prove that in classical mechanics?
We now know E=mc^2 as a fact that classical mechanics or saying more accurately classical non relativistic mechanics does not anticipate, need and prove. I prefer the fact to a theory.　Don't put new wine into old bottles.
 
Last edited:
  • #33
sweet springs said:
We now know E=mc^2 as a fact that classical mechanics or saying more accurately classical non relativistic mechanics does not anticipate, need and prove.

I already wrote above that internal energy cannot be determinied in classical mechanics. That includes that classical mechanics doesn’t anticipate, need and prove E=mc². So I still do not see a new argument. Do I miss something?
 
  • #34
Now you know that non relativistic mechanics failed. I do not think you miss anything.:smile:
 
  • #35
sweet springs said:
Now you know that non relativistic mechanics failed.

I was well aware of it from the beginning (I even mentioned it in #18). You are quite off-topic if that was all you are trying to tell me.
 

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