The discussion centers on the nature of dimensionality in 11-dimensional M-theory, emphasizing the existence of metric equations for dimensions and the cyclic flow of energy between them. Participants reference "Gravity" by James Hartle as a key resource for understanding metric tensors in compactified dimensions. The conversation highlights the need for foundational knowledge in quantum field theory (QFT) and string theories to engage meaningfully with M-theory topics. The thread concludes with a recommendation to explore simpler examples, such as the Riemann sphere, for questions about topology and compactifications.
PREREQUISITESPhysicists, theoretical researchers, and advanced students interested in M-theory, quantum field theory, and the mathematical foundations of string theory.
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.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?
Or are you trying to see how many times we'll let you violate the forum rule about personal speculation?Does energy flow cyclically between pairs of dimensions? To me, that's what rotation is.