The logic of Quantum Mechanics

In summary: Here, we are free to explore new theories and interpretations, and to discuss them.So, in summary, some people say that QM defies all logic, while others believe that it can be explained by a model of propositional calculus. The main issue is whether a "path" can be described by one point implying the next point in a logically consistent way.
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Mike2
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Some say that quantum mechanics defies all logic and is not intuitive. They will state that there is no "Ontology" to help us understand it.

But over the last couple of days I've come up with a possible model of logic that may give us some ontology, restore the intuition, and possibly even help derive physics from logic itself.

What I have is an equation of propositional calculus that explains why reality can be described by the conjunction of every possible path. This would explain the necessity of path integrals. I don't have a derivation of why the lagrangian, yet. But the non-intuitive part seems to be the path integral which I think I can now explain.

I would like to discuss this description to see if others can help identify issues, and help fill in the blanks. Someone else may have already thought of this before, and I'd like some comment. One of the major issues for me will be can a "path" be described by one point in the path logically implying the next point. Or are paths beyond the scope of logic.

Dear Moderator, I ask permission to post this first because I don't want to waste my time if I'm going to be bumped into theory development just because it's new or too oversimplistic. Should I post or not?
 
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You may only post this in the IR forum, not here. We no longer have the TD forum, in case you haven't noticed.

Zz.
 
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The IR (Independent Research) forum is a subforum of the General Physics forum. You can see it on the main PF page, in the list of forums.

Mike2 said:
Some say that quantum mechanics defies all logic and is not intuitive. They will state that there is no "Ontology" to help us understand it.

There are a number of possible interpretations of QM that are often discussed in this forum. They have been put forth in the professional physics literature and discussed among working physicists, and so they are fair game for discussion here. However, none of them is generally agreed upon to be "the" interpretation, because there is no way of distinguishing among them experimentally.

Mike2 said:
Sorry to hear that the ontology of quantum mechanics is not appropiate to this forum.

In fact, the longest threads in this forum are about the ontology (interpretation) of QM. What we have a problem with, is introducing completely new theories or interpretations.

One of the main purposes of PF is to help students learn about physics as it is practiced and discussed by the "professional physics community," and so we generally restrict ourselves to physics as presented by peer-reviewed textbooks, journals, etc., and to some extent in arxiv.org (although one has to be careful there because it is not peer-reviewed). The exception to this rule is the Independent Research forum.
 

FAQ: The logic of Quantum Mechanics

What is the basic concept of quantum mechanics?

The basic concept of quantum mechanics is that particles can exist in multiple states or locations at the same time, and their behavior cannot be accurately predicted or measured until it is observed. This is known as the principle of superposition.

How does quantum mechanics differ from classical mechanics?

Quantum mechanics differs from classical mechanics in that it describes the behavior of particles on a microscopic scale, while classical mechanics is limited to describing the behavior of larger objects. Quantum mechanics also introduces the concept of probabilistic outcomes, whereas classical mechanics assumes deterministic outcomes.

What is the Heisenberg uncertainty principle?

The Heisenberg uncertainty principle states that it is impossible to simultaneously know the exact position and momentum of a particle. This is due to the fact that the act of measuring one property of a particle will inevitably disturb the other property.

How is entanglement related to quantum mechanics?

Entanglement is a phenomenon in which two or more particles become connected in such a way that the state of one particle will affect the state of the other, regardless of the distance between them. This concept is a fundamental aspect of quantum mechanics and has been proven to exist through various experiments.

What practical applications does quantum mechanics have?

Quantum mechanics has a wide range of practical applications, including the development of new technologies such as supercomputers, lasers, and cryptography. It also plays a crucial role in fields such as chemistry, materials science, and medicine, allowing for a deeper understanding of microscopic systems and their behavior.

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