I Can Two Different Physical Theories Yield the Same Predictions?

I
Thread starter Robin04
Start date Apr 30, 2018
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Equivalent Theories

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Two different physical theories can yield the same predictions while employing distinct mathematical frameworks, as illustrated by the equivalence of Newtonian and Lagrangian mechanics. Modern examples include various formulations of quantum mechanics and classical field theories that provide the same observable outcomes despite differing mathematical approaches. Physicists are actively exploring reconstructions of existing theories to uncover deeper insights and unify concepts across disciplines. This practice enhances understanding of fundamental principles and may lead to new theoretical advancements. The discussion highlights the importance of examining the relationship between mathematical representation and physical reality.

Apr 30, 2018

Robin04

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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Apr 30, 2018

Vanadium 50

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Like Newtonian and Lagrangian mechanics?

Apr 30, 2018

Robin04

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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