Classical physics emerging from quantum physics

In summary: This is the main point of the Heisenberg Uncertainty Principle: the more precisely you know the state of a particle, the less precisely you can know its momentum.In summary, classical physics is the theory of a large number of particles and quanta. It is more than just the quantum physics of a few objects.
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Andrew Wright
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Is classical physics more than just the quantum physics of a large number of particles and quanta?

Thanks for your thoughts.
 
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What do you think and why?
 
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Some people have told me there is this thing called "emergence", where nature behaves in unexpected ways when objects are put together. I feel that if all the parts were well enough understood, you could derive the behaviour of collection - right up to the behaviour of the whole universe.
 
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Andrew Wright said:
Some people have told me there is this thing called "emergence", where nature behaves in unexpected ways when objects are put together. I feel that if all the parts were well enough understood, you could derive the behaviour of collection - right up to the behaviour of the whole universe.
You might want to check out the Heisenberg Uncertainty Principle
 
  • #5
Andrew Wright said:
Is classical physics more than just the quantum physics of a large number of particles and quanta?

The standard Copenhagen interpretation of quantum mechanics assumes the existence of classical measurement apparatus.

The Bohmian interpretation of quantum mechanics assumes the existence of hidden variables in addition to the quantum wave function

The Many-Worlds interpretation tries to say that there are many parallel realities.
 
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I think you should look into the correspondence principle. To quote Wikipedia the correspondence principle is "the behavior of systems described by the theory of quantum mechanics (or by the old quantum theory) reproduces classical physics in the limit of large quantum numbers." So basically yes, classical physics is essentially an extension of a large number of quantum objects. When you only have a few objects, the small quantum effects become important, but when you have an enormous number of them, like in a macroscopic object, they essentially disappear. There is no deeper meaning. Think about how [itex] \hbar[/itex] is an important number in quantum mechanics, but is of the magnitude [itex] 10^{-27}[/itex], so you can see why it would become negligible at large scales.
 
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Andrew Wright said:
Is classical physics more than just the quantum physics of a large number of particles and quanta?

Here is the answer, from Landau and Lifshitz's famous text, in the standard Copenhagen interpretation:
Thus quantum mechanics occupies a very unusual place among physical theories: it contains classical mechanics as a limiting case, yet at the same time it requires this limiting case for its own formulation.
 

Related to Classical physics emerging from quantum physics

1. What is classical physics and how does it emerge from quantum physics?

Classical physics is the branch of physics that deals with the behavior of macroscopic objects, such as everyday objects and systems. It is based on the principles of classical mechanics, which were developed by scientists like Newton and Galileo. Classical physics emerges from quantum physics through a process called decoherence, which is the loss of coherence or interference between quantum states. Essentially, as the number of particles in a system increases, the effects of quantum mechanics become negligible and the behavior of the system can be described by classical physics.

2. Can you give an example of classical physics emerging from quantum physics?

Yes, the behavior of a macroscopic object, such as a baseball, can be described using classical physics. However, the underlying particles that make up the baseball, such as atoms and electrons, follow the laws of quantum mechanics. The behavior of these particles is averaged out at the macroscopic level, leading to classical physics emerging.

3. How does the concept of probability play a role in classical physics emerging from quantum physics?

In quantum mechanics, the behavior of particles is described using probability amplitudes, which determine the likelihood of a particle being in a certain state. As the number of particles increases, these probability amplitudes average out, leading to the deterministic behavior described by classical physics. In other words, the probabilistic nature of quantum mechanics becomes less apparent at the macroscopic level, giving way to the deterministic nature of classical physics.

4. Are there any limitations or exceptions to classical physics emerging from quantum physics?

Yes, there are some phenomena that cannot be explained by classical physics and require a quantum mechanical description, even at the macroscopic level. For example, the behavior of superconductors and superfluids cannot be explained by classical physics and require a quantum mechanical understanding.

5. How does the understanding of classical physics emerging from quantum physics impact our understanding of the world?

The understanding of classical physics emerging from quantum physics has greatly influenced our understanding of the world, as it has allowed us to bridge the gap between the microscopic and macroscopic worlds. It has also led to the development of new technologies, such as transistors and lasers, which rely on our understanding of quantum mechanics. Furthermore, it has led to new areas of research, such as quantum computing, which have the potential to revolutionize the way we process information and solve complex problems.

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