- #1
rogerl
- 238
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Although I read many pop-sci books (Elegant Universe, Warped Passages, etc.). Imagining branes is still a bit over my head. Some questions to confirm what I know.
1. I know that in a 3-brane, it just represents the 3 dimension as flat for purposes of giving better illustrations in a limited 3d paper, right or is a brane really flat?
2. In a 3-Brane, is there only 3 spatial dimension or does it include the 6 compactified dimension too? If so, then a 3 brane is actually 10 dimension (3 extended, 6 compactified)?
3. Before M-theory. All particles only exhibit 10D (9 dimensions + 1D time). After M-theory with the addition of another dimension. Brane worlds begin to exist. Is the 11th dimension compactified too or infinite in extent? But the only way you can put 2 branes side by side is by an infinite 11th dimension. It's like our 3D world. Supposed we are only 2D and flat with only up-down and left-time movement. When the third dimension of depth occurs and we are still trap in 2D (signifying the strings trapped on a brane), we can have endless stack of 2D planes in the 3D world. Is this the case with 11th dimension too such that you can put an endless branes stack on it? Does each stack occupy the entire plane or can you put two stack side by side, for example.. one inch away from you.. you can see two branes side by side or must one of them always be more or less than 1 inch? Btw.. all this only occurs if the 11th dimension is infinite, or is it compactified?
4. In Brian Green PBS Elegant Universe. He showed Manhattan curving into U shape and a wormhole connecting the opposite ends. Can you bend a brane this way too? Supposed you can bend a brane and the gravitons pass from one end to end (say the brane is one light year distant). Then doesn't it violate special relativity because the gravitons can reach it before light use the usual brane path? Maybe quantum entanglement or Bell's Theorem at 1 light year distance use such massless bosons and brane wormless to convey the information?
5. In the concept of where our 3-brane is floating in larger multidimensional universe. Is 11 dimensions still the limit or could there be more than 11 dimensions of M-theory? But how could this be when M-theory dimensions is only 11. Also this assume the 11th dimension is infinite in extent? Also could you add more than 11 dimension and still make the theory consistent?
That's all for now. Thanks!
1. I know that in a 3-brane, it just represents the 3 dimension as flat for purposes of giving better illustrations in a limited 3d paper, right or is a brane really flat?
2. In a 3-Brane, is there only 3 spatial dimension or does it include the 6 compactified dimension too? If so, then a 3 brane is actually 10 dimension (3 extended, 6 compactified)?
3. Before M-theory. All particles only exhibit 10D (9 dimensions + 1D time). After M-theory with the addition of another dimension. Brane worlds begin to exist. Is the 11th dimension compactified too or infinite in extent? But the only way you can put 2 branes side by side is by an infinite 11th dimension. It's like our 3D world. Supposed we are only 2D and flat with only up-down and left-time movement. When the third dimension of depth occurs and we are still trap in 2D (signifying the strings trapped on a brane), we can have endless stack of 2D planes in the 3D world. Is this the case with 11th dimension too such that you can put an endless branes stack on it? Does each stack occupy the entire plane or can you put two stack side by side, for example.. one inch away from you.. you can see two branes side by side or must one of them always be more or less than 1 inch? Btw.. all this only occurs if the 11th dimension is infinite, or is it compactified?
4. In Brian Green PBS Elegant Universe. He showed Manhattan curving into U shape and a wormhole connecting the opposite ends. Can you bend a brane this way too? Supposed you can bend a brane and the gravitons pass from one end to end (say the brane is one light year distant). Then doesn't it violate special relativity because the gravitons can reach it before light use the usual brane path? Maybe quantum entanglement or Bell's Theorem at 1 light year distance use such massless bosons and brane wormless to convey the information?
5. In the concept of where our 3-brane is floating in larger multidimensional universe. Is 11 dimensions still the limit or could there be more than 11 dimensions of M-theory? But how could this be when M-theory dimensions is only 11. Also this assume the 11th dimension is infinite in extent? Also could you add more than 11 dimension and still make the theory consistent?
That's all for now. Thanks!