High School What is the mathematical expression for manifold duplication in Many Worlds?

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SUMMARY

The discussion centers on the concept of manifold duplication within the Many Worlds Interpretation (MWI) of quantum mechanics. Participants clarify that the term "manifold duplication" is not formally recognized in MWI, which describes quantum events as creating distinct branches rather than duplicating manifolds. The double slit experiment serves as a key example, illustrating how quantum choices lead to the emergence of multiple worlds, each represented by its own spacetime structure. The conversation emphasizes the importance of precise mathematical language over colloquial terms to avoid misunderstandings in quantum theory.

PREREQUISITES
  • Understanding of Many Worlds Interpretation (MWI) of quantum mechanics
  • Familiarity with quantum mechanics concepts such as superposition and entanglement
  • Basic knowledge of the double slit experiment and its implications
  • Mathematical language used in quantum theory
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  • Study the mathematical foundations of the Many Worlds Interpretation
  • Explore the implications of quantum superposition in MWI
  • Learn about the double slit experiment and its role in quantum mechanics
  • Investigate the terminology used in quantum physics to improve clarity in discussions
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Quantum physicists, students of quantum mechanics, and anyone interested in the philosophical implications of Many Worlds Interpretation will benefit from this discussion.

mieral
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What's the mathematical expression for manifold duplication in Many Worlds? In other words, how do the manifolds duplicate themselves endlessly?
 
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My guess is branching, but it's a guess.
 
mieral said:
What's the mathematical expression for manifold duplication in Many Worlds?

What do you mean by "manifold duplication"? AFAIK there is no such thing in the MWI.
 
PeterDonis said:
What do you mean by "manifold duplication"? AFAIK there is no such thing in the MWI.

Everytime you created quantum choices like in the double slit experiment. The world is duplicated (left and right particle hit) in MWI. So at start there was one manifold. After the double slit experiment done, there are two manifolds. If it's not called Manifold Duplication. How are the spacetime in each world created? And why would Manifold Duplication be a bad choice of words?
 
mieral said:
Everytime you created quantum choices like in the double slit experiment. The world is duplicated (left and right particle hit) in MWI. So at start there was one manifold. After the double slit experiment done, there are two manifolds. If it's not called Manifold Duplication. How are the spacetime in each world created? And why would Manifold Duplication be a bad choice of words?
That is not at all what the MWI says. It's easy to misunderstand it the way you have when you hear things like "splits into two worlds" but that comes from people trying to use ordinary English words instead of the underlying math.
 

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