Born rule for macroscopic objects

In summary, there is a discrepancy between the idea of classical mechanics as an approximation for macroscopic bodies and the many-worlds interpretation of quantum mechanics. While classical mechanics suggests that macroscopic bodies have a small uncertainty in position and momentum, the many-worlds interpretation suggests that branching occurs, leading to a high probability for one outcome and many low probability branches. However, in reality, we can only observe one outcome and all other branches are irrelevant. The branching is simply a label for different terms in the wave function, making the many-worlds interpretation seem unnecessary and overcomplicated.
  • #1
durant35
292
11
There is one thing that I don't understand when considering quantum mechanics for macroscopic bodies. It is said that classical mechanics is a valid approximation and that macroscopic bodies that we encounter on everyday basis have a small uncertainty in position and momentum.

So far, so good.

But when the many-worlds interpretation is invoked, there are suggestions that the branching in the macroscopic world is occurring. The problem with this is the probability. If we just consider things from a probabilistic perspective, there is an enormous chance that the things around us will behave approximately classicaly and follow classical paths without some miracoulous deviations, like my monitor suddenly turning left without any force applied to it. So if we strictly try to give probabilities for macroscopic behaviour, one outcome has something like 99.9999..% probability and sudden deviations have very, very small amplitudes.

But in MWI, all outcomes occur. In fact it is ridicoulous to say all, it's better to say one that we would expect (high amplitude branch) and many, many low probability branches. So does quantum mechanics actually give probabilities for macroscopic behavior like I mentioned and do MWI supporters really believe that the branching occurs on this weird way, where one branch is always extremely probable and others are negligible?
 
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  • #2
durant35 said:
it is ridicoulous
MWI is ridiculous if you take it to mean that everything that can happen happens.

In the only world we see only one thing happens, and the other worlds are irrelevant since we cannot say the slightest thing about them. All probabilities we measure are probabilities about the single branch we have a memory about - only that counts. No branching ever happens as all branches are already present in the wave function, at any time. The branches are just a label attached to terms in the wave function when expressed in a particular basis. Lots of irrelevant blabla accompanies this to make it sound interesting and explanatory.
 

1. What is the Born rule for macroscopic objects?

The Born rule is a fundamental concept in quantum mechanics that describes the probability of a particle or system being in a particular state. For macroscopic objects, the Born rule states that the probability of observing a particular outcome is directly proportional to the square of the wavefunction amplitude for that outcome.

2. How does the Born rule apply to macroscopic objects?

The Born rule applies to macroscopic objects in the same way it applies to microscopic particles. It describes the probability of observing a particular state or behavior of the object based on its wavefunction amplitude. However, for macroscopic objects, the wavefunction is extremely complex and difficult to measure, making the application of the Born rule more challenging.

3. What are the limitations of the Born rule for macroscopic objects?

The Born rule has its limitations for macroscopic objects, as it is based on the wavefunction of the object, which can be difficult to measure and is subject to uncertainty. Additionally, the Born rule is only applicable in non-relativistic systems and does not take into account the effects of gravity.

4. How does the Born rule relate to the collapse of the wavefunction?

The Born rule is closely related to the collapse of the wavefunction, which is a fundamental concept in quantum mechanics. The collapse of the wavefunction occurs when a measurement is made on a system, and the wavefunction "collapses" to a specific state. The Born rule describes the probability of the wavefunction collapsing to a particular state.

5. Can the Born rule be applied to all macroscopic objects?

The Born rule can technically be applied to all macroscopic objects, but in practice, it becomes increasingly difficult to measure and predict the wavefunction for larger and more complex objects. This is due to the inherent uncertainty and complexity of macroscopic systems. Therefore, the Born rule is most commonly applied and tested in the realm of microscopic particles.

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