The Fifth Element and it’s ArchetectureIn Kaku’s preface of Hyperspace, page ix, we find a innocent enough statement that helps us orientate a view that previous to all undertanding, is counched in the work of Kaluza.In para 3, he writes,Similarily, the laws of gravity and light seem totally dissimilar. They obey different physical assumptions and different mathematics. Attempts to splice these two forces have always failed. However, if we add one more dimension, a fifth dimension, to the previous four dimensions of space and time, then equations governing light and grvaity appear to merge together like two pieces of a jigsaw puzzle. Light, in fact, can be explained inthe fifth dimension. In this way, we see the laws of light and gravity become simpler in five dimensions.Hope it helps the understanding of what the fifth element means, and all the time we are still speaking about the energy here, not as a understanding of the aether, but of what that missing mass means.
Hyperspace, by Michio Kaku Page 84 and 85,”To see higher dimensions simplify the laws of nature, we recall that any object has length, width and depth. Since we have the freedom to rotate an object by 90 degrees, we can turn its length into width, and its width into depth. By a simple rotation, we can interchange any of the three spatial dimensions. Now if time is the fourth dimension then it is possible to make “rotations” that convert space into time, and vice versa. These four-dimensional “rotations” are precisely the distortions of space and time demanded by special relativity. In other words, space and time have mixed in a essential way, governed by relativity. The meaning of time as being the fourth dimension is that time and space can rotate into each other in a mathematical precise way. From now on, they must be treated as two aspects of the same quantity: space-time. Thus adding a higher dimension helped to unify the laws of nature.”
2 responses to “5th Dimensional Field Equations”
The Fifth Element and it’s ArchetectureIn Kaku’s preface of Hyperspace, page ix, we find a innocent enough statement that helps us orientate a view that previous to all undertanding, is counched in the work of Kaluza.In para 3, he writes,Similarily, the laws of gravity and light seem totally dissimilar. They obey different physical assumptions and different mathematics. Attempts to splice these two forces have always failed. However, if we add one more dimension, a fifth dimension, to the previous four dimensions of space and time, then equations governing light and grvaity appear to merge together like two pieces of a jigsaw puzzle. Light, in fact, can be explained inthe fifth dimension. In this way, we see the laws of light and gravity become simpler in five dimensions.Hope it helps the understanding of what the fifth element means, and all the time we are still speaking about the energy here, not as a understanding of the aether, but of what that missing mass means.
Hyperspace, by Michio Kaku Page 84 and 85,”To see higher dimensions simplify the laws of nature, we recall that any object has length, width and depth. Since we have the freedom to rotate an object by 90 degrees, we can turn its length into width, and its width into depth. By a simple rotation, we can interchange any of the three spatial dimensions. Now if time is the fourth dimension then it is possible to make “rotations” that convert space into time, and vice versa. These four-dimensional “rotations” are precisely the distortions of space and time demanded by special relativity. In other words, space and time have mixed in a essential way, governed by relativity. The meaning of time as being the fourth dimension is that time and space can rotate into each other in a mathematical precise way. From now on, they must be treated as two aspects of the same quantity: space-time. Thus adding a higher dimension helped to unify the laws of nature.”