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Equivalence Between Space-Time-Matter and Brane-World Theories
General Relativity and Quantum Cosmology · Submitted 5 Nov 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim However, we show that they are equivalent to each other.
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The abstract, sentence by sentence
We study the relationship between space-time-matter (STM) and brane theories. These two theories look very different at first sight, and have different motivation for the introduction of a large extra dimension. However, we show that they are equivalent to each other. First we demonstrate that STM predicts local and non-local high-energy corrections to general relativity in 4D, which are identical to those predicted by brane-world models. Secondly, we notice that in brane models the usual matter in 4D is a consequence of the dependence of five-dimensional metrics on the extra coordinate. If the 5D bulk metric is independent of the extra dimension, then the brane is void of matter. Thus, in brane theory matter and geometry are unified, which is exactly the paradigm proposed in STM. Consequently, these two 5D theories share the same concepts and predict the same physics. This is important not only from a theoretical point of view, but also in practice. We propose to use a combination of both methods to alleviate the difficult task of finding solutions on the brane. We show an explicit example that illustrate the feasibility of our proposal.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the relationship between space-time-matter (STM) and brane theories. | contribution 0.84 | 0.86 | 0.03 | asserted 0.51 |
| s1 | These two theories look very different at first sight, and have different motivation for the introduction of a large extra dimension. | background 0.99 | 0.09 | 0.02 | asserted 0.99 |
| s2 | However, we show that they are equivalent to each other. | result 0.89 | 0.94 | 0.91 | asserted 1.00 |
| s3 | First we demonstrate that STM predicts local and non-local high-energy corrections to general relativity in 4D, which are identical to those predicted by brane-world models. | result 0.93 | 0.91 | 0.16 | asserted 1.00 |
| s4 | Secondly, we notice that in brane models the usual matter in 4D is a consequence of the dependence of five-dimensional metrics on the extra coordinate. | result 0.73 | 0.65 | 0.05 | asserted 1.00 |
| s5 | If the 5D bulk metric is independent of the extra dimension, then the brane is void of matter. | result 0.78 | 0.41 | 0.04 | asserted 1.00 |
| s6 | Thus, in brane theory matter and geometry are unified, which is exactly the paradigm proposed in STM. | interpretation 0.87 | 0.72 | 0.24 | asserted 1.00 |
| s7 | Consequently, these two 5D theories share the same concepts and predict the same physics. | interpretation 0.51 | 0.79 | 0.63 | asserted 1.00 |
| s8 | This is important not only from a theoretical point of view, but also in practice. | interpretation 0.99 | 0.14 | 0.04 | asserted 0.98 |
| s9 | We propose to use a combination of both methods to alleviate the difficult task of finding solutions on the brane. | future work 0.53 | 0.56 | 0.07 | asserted 0.55 |
| s10 | We show an explicit example that illustrate the feasibility of our proposal. | contribution 0.80 | 0.93 | 0.05 | asserted 1.00 |
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Original abstract
We study the relationship between space-time-matter (STM) and brane theories. These two theories look very different at first sight, and have different motivation for the introduction of a large extra dimension. However, we show that they are equivalent to each other. First we demonstrate that STM predicts local and non-local high-energy corrections to general relativity in 4D, which are identical to those predicted by brane-world models. Secondly, we notice that in brane models the usual matter in 4D is a consequence of the dependence of five-dimensional metrics on the extra coordinate. If the 5D bulk metric is independent of the extra dimension, then the brane is void of matter. Thus, in brane theory matter and geometry are unified, which is exactly the paradigm proposed in STM. Consequently, these two 5D theories share the same concepts and predict the same physics. This is important not only from a theoretical point of view, but also in practice. We propose to use a combination of both methods to alleviate the difficult task of finding solutions on the brane. We show an explicit example that illustrate the feasibility of our proposal.
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7 arXiv papers cite this in 10 sentences
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Cites it as background 1 paper
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We note that in the cosmological realm, $5D$ Kaluza-Klein solutions have been used to generate braneworld cosmological models (with vanishing bulk cosmological constant) via a relatively simple procedure [ref] .
Static wormholes on the brane inspired by Kaluza-Klein gravity · Summary · 0.93
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