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entropy1
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Can we tell, given the ample accuracy of formal quantum mechanics, that the (formal) theory is correct in its entirety?
entropy1 said:Can we tell, given the ample accuracy of formal quantum mechanics, that the (formal) theory is correct in its entirety?
You can never tell that about any scientific theory. Scientific theories are always subject to revision as more evidence comes in.entropy1 said:Can we tell, given the ample accuracy of formal quantum mechanics, that the (formal) theory is correct in its entirety?
But that would require different experimental outcomes than thusfar measured, right? Either different outcomes of the same experiments, or new outcomes made by experiments not yet done (but that is trivial). But new outcomes of experiments not yet done probably won't be in disagreement with experiments already done, right?PeterDonis said:You can never tell that about any scientific theory. Scientific theories are always subject to revision as more evidence comes in.
Not necessarily. New evidence can be from experimental regimes that have not previously been tested, but which suggest the presence of new physical factors that are not included in current theories. That's how QM itself got started, after all--experiments probing new regimes in the late 19th and early 20th century uncovered physical factors that were not included in classical physics.entropy1 said:that would require different experimental outcomes than thusfar measured, right?
PeterDonis said:Not necessarily. New evidence can be from experimental regimes that have not previously been tested, but which suggest the presence of new physical factors that are not included in current theories. That's how QM itself got started, after all--experiments probing new regimes in the late 19th and early 20th century uncovered physical factors that were not included in classical physics.
Not "different", just "new". If we do experiments in a regime where we've never done experiments before, then the results can't be "different" from anything because there's nothing to compare them to.entropy1 said:that would require different experimental outcomes than thusfar measured, right?
New outcomes of experiments in a regime where we've never done experiments before can't either agree or disagree with experiments already done, because there's no way to compare them--they're in different experimental regimes.entropy1 said:new outcomes of experiments not yet done probably won't be in disagreement with experiments already done, right?
Formal QM, or formal quantum mechanics, is currently the most widely accepted theory for describing the behavior of particles at the quantum level. It has been extensively tested and has been able to accurately predict the behavior of particles in a wide range of experiments. However, it is important to note that formal QM is a mathematical model and may not fully capture the complexity of quantum phenomena.
While formal QM has proven to be a powerful tool for understanding the behavior of particles at the quantum level, it does have some limitations. For example, it does not fully account for the effects of gravity and does not provide a complete picture of the behavior of particles in certain situations, such as at the event horizon of a black hole.
Formal QM is one of several theories of quantum mechanics. It differs from other theories in its mathematical formalism and its approach to describing the behavior of particles. For example, the Copenhagen interpretation of quantum mechanics places a greater emphasis on the role of the observer, while the many-worlds interpretation suggests that all possible outcomes of a quantum event occur in parallel universes.
While formal QM has been successful in explaining a wide range of quantum phenomena, there are still some aspects of quantum behavior that it cannot fully account for. For example, it does not provide a complete understanding of the phenomenon of quantum entanglement, which has been observed in experiments.
Formal QM and classical mechanics are two separate theories that describe the behavior of particles at different scales. Classical mechanics is used to describe the behavior of macroscopic objects, while formal QM is used to describe the behavior of particles at the quantum level. While there are some fundamental differences between the two theories, formal QM can be thought of as a more general and encompassing theory that reduces to classical mechanics in certain situations.