What is the nature of dimensionality in 11 dimension M-theory?

In summary, the conversation is about the signatures and distance metrics for compactified dimensions. The participants discuss the metric equations for dimensions and whether energy flows cyclically between them. They also mention the book "Gravity" by James Hartle as a resource for understanding this topic. It is suggested to discuss M-theory in a different forum and to start with easier examples like the Riemann sphere when asking about topology in compactifications. The conversation is ultimately deemed unanswerable and the thread is closed.
  • #1
Paige_Turner
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What are the signatures and distance metrics for the compactified dimensions?
They're dimensions, so they DO have a metric equation, right? Does energy flow cyclically between pairs of dimensions? To me, that's what rotation is.
 
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  • #2
Paige_Turner said:
Summary:: What are the signatures and distance metrics for the compactified dimensions?

They're dimensions, so they DO have a metric equation, right?
Are you trying to learn here? There's a pretty decent explanation in "Gravity" by James Hartle (the only undergraduate-level general relativity textbook I known of) including an example of a metric tensor for a manifold with a compactified dimension.
Does energy flow cyclically between pairs of dimensions? To me, that's what rotation is.
Or are you trying to see how many times we'll let you violate the forum rule about personal speculation?
 
  • #3
If you want to discuss M-theory, @Paige_Turner, then it is best to do it in the "Beyond the Standard Model" forum. However, it is an extremely technical subject, that cannot be dealt with on a "B" level thread. You will need to learn QFT and string theories first, and there is no shortcut.

It is something else to ask about the topology of compactifications. For questions about them, I recommend choosing some easier examples like the Riemann sphere.

The question as stated is unanswerable, so I close this thread.
 

Related to What is the nature of dimensionality in 11 dimension M-theory?

1. What is the concept of dimensionality in 11 dimension M-theory?

Dimensionality in 11 dimension M-theory refers to the number of spatial dimensions required to describe the universe. In this theory, there are 11 dimensions, with 3 of them being the familiar dimensions of length, width, and height, and the remaining 8 being compactified or curled up dimensions that are too small for us to observe directly.

2. How does 11 dimension M-theory differ from other theories of dimensionality?

11 dimension M-theory is a unifying theory that attempts to reconcile the differences between the five different versions of string theory. It proposes that the universe is made up of tiny strings and that these strings vibrate in different ways to give rise to the different particles and forces in our universe. Unlike other theories, 11 dimension M-theory includes gravity and also allows for the possibility of multiple universes or a multiverse.

3. How do scientists study and test the concept of 11 dimensions in M-theory?

Scientists use mathematical models and experiments to study and test the concept of 11 dimensions in M-theory. They use supercomputers to simulate the behavior of strings in different dimensions and also conduct experiments at high-energy particle colliders, such as the Large Hadron Collider, to search for evidence of extra dimensions.

4. What are the implications of 11 dimension M-theory for our understanding of the universe?

11 dimension M-theory has the potential to revolutionize our understanding of the universe and the fundamental laws of physics. It may provide a unified framework for all known forces and particles and also offer insights into the nature of space and time. Additionally, the concept of a multiverse in M-theory raises questions about the existence of other universes and the possibility of parallel dimensions.

5. Are there any real-world applications of 11 dimension M-theory?

While 11 dimension M-theory is still a theoretical concept, it has already had some real-world applications. For example, the mathematical techniques used in M-theory have been applied to other fields, such as condensed matter physics and black hole thermodynamics. Additionally, the study of extra dimensions in M-theory has led to advancements in the development of new materials and technologies, such as high-temperature superconductors and quantum computers.

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