Can Two Different Physical Theories Yield the Same Predictions?

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SUMMARY

This discussion confirms that two different physical theories can yield identical predictions while employing distinct mathematical frameworks. The examples of Newtonian and Lagrangian mechanics illustrate this equivalence. Participants express interest in contemporary instances where physicists are attempting to reconstruct theories using this approach, highlighting the ongoing relevance of this concept in modern physics.

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  • Understanding of Newtonian mechanics
  • Familiarity with Lagrangian mechanics
  • Basic knowledge of mathematical frameworks in physics
  • Awareness of modern theoretical physics concepts
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  • Research modern examples of equivalent physical theories
  • Explore the implications of mathematical frameworks in theoretical physics
  • Investigate the reconstruction of physical theories in contemporary research
  • Study the relationship between different mechanics in physics
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Physicists, students of physics, and anyone interested in the foundations of theoretical frameworks in modern science.

Robin04
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Is it possible that two physical theories are equivalent in the sense that their predictions are exactly the same but the mathematics they use is different?
 
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Like Newtonian and Lagrangian mechanics?
 
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Vanadium 50 said:
Like Newtonian and Lagrangian mechanics?

Yes, exactly, thank you! Are there any modern examples? Are physicist trying to reconstruct some theories in this way?
 

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