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

  • Context: High School 
  • Thread starter Thread starter mieral
  • Start date Start date
  • Tags Tags
    Manifold
Click For Summary

Discussion Overview

The discussion centers around the mathematical expression for manifold duplication in the Many Worlds Interpretation (MWI) of quantum mechanics. Participants explore the concept of how manifolds might duplicate themselves in the context of quantum choices and experiments, particularly the double slit experiment.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant inquires about the mathematical expression for manifold duplication in Many Worlds, questioning how manifolds duplicate endlessly.
  • Another participant suggests that branching might be the answer, although they acknowledge it is merely a guess.
  • Several participants express confusion regarding the term "manifold duplication," with one stating that there is no such concept in MWI.
  • A participant argues that in the context of the double slit experiment, the world is duplicated when quantum choices are made, leading to the creation of two manifolds from one.
  • Another participant challenges the use of the term "manifold duplication," suggesting that it may not accurately reflect the underlying mathematics of MWI and that common language can lead to misunderstandings.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the concept of manifold duplication, with multiple competing views and interpretations of the Many Worlds Interpretation being presented.

Contextual Notes

There are limitations in the discussion regarding the definitions of terms like "manifold duplication" and the mathematical framework of MWI, which remain unresolved.

mieral
Messages
203
Reaction score
5
What's the mathematical expression for manifold duplication in Many Worlds? In other words, how do the manifolds duplicate themselves endlessly?
 
Physics news on Phys.org
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.
 

Similar threads

Undergrad Comparing Spacetime and Thermodynamic State Space Manifolds
  • · Replies 16 ·
Replies
16
Views
2K
High School How to know what maximal atlas to use for spacetime manifold?
  • · Replies 12 ·
Replies
12
Views
2K
Undergrad Identifying Manifolds with Different Co-ordinates: Easy Solutions
  • · Replies 16 ·
Replies
16
Views
2K
High School How to select the smooth atlas to use for spacetime?
  • · Replies 50 ·
2
Replies
50
Views
5K
Undergrad GR for a mathematician and a physicist? What's the difference?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Some doubts concerning the mathematical bases of GR
  • · Replies 149 ·
5
Replies
149
Views
18K
Graduate Things that can't happen on a manifold
  • · Replies 21 ·
Replies
21
Views
5K
Undergrad What is an (almost) complex manifold in simple words
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Do we know how many meters long one second is?
  • · Replies 4 ·
Replies
4
Views
1K
High School Very simple exercises in General Relativity
  • · Replies 57 ·
2
Replies
57
Views
5K