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These studies suggest that the difference between classical and quantum physics lies in joint decidability versus smoothness, discrete versus dense single-particle states, and the emergence of classical physics from quantum physics through the elimination of certain states and observables.
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Classical and quantum physics are two fundamental frameworks for understanding the physical world. Classical physics, which includes theories like Newtonian mechanics and Maxwell's electromagnetism, describes macroscopic phenomena. Quantum physics, on the other hand, deals with the behavior of particles at the atomic and subatomic levels. Understanding the differences between these two frameworks is crucial for comprehending the transition from macroscopic to microscopic phenomena.
Nature of States:
Probability and Symmetry:
Emergence of Classical Physics from Quantum Physics:
Measurement and Observation:
Intertheoretic Reduction:
Classical and quantum physics differ fundamentally in the nature of their states, with quantum states being discrete and classical states being dense. While they share some common properties, the key distinction lies in their approach to probability and symmetry. Classical physics can emerge from quantum physics under specific conditions, but this emergence is not a straightforward reduction. Instead, it involves the elimination of certain quantum states and observables, leading to the approximate appearance of classical behavior.
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