“Yet I exist in the hope that these memoirs, in some manner, I know not how, may find their way to the minds of humanity in Some Dimensionality, and may stir up a race of rebels who shall refuse to be confined to limited Dimensionality.” from Flatland, by E. A. Abbott
So you intuitively believe higher dimensions really exist?
Lisa Randall:I don’t see why they shouldn’t. In the history of physics, every time we’ve looked beyond the scales and energies we were familiar with, we’ve found things that we wouldn’t have thought were there. You look inside the atom and eventually you discover quarks. Who would have thought that? It’s hubris to think that the way we see things is everything there is.
And what is it that we don’t see? I thought of a comment somewhere that spoke about what first started to make it’s appearance in how we communicate?
Time is the Unseen fourth Dimension
They were able to create what we recognize today as the “elliptical” and “hyperbolic” non-Euclidean geometries. Most of Saccheri’s first 32 theorems can be found in today’s non-Euclidean textbooks. Saccheri’s theorems are prefaced by “Sac.”
One of my greatest “aha moments” came when I realized Non-euclidean geometries. I had to travel the history first with Giovanni Girolamo Saccheri, Bolya and Lobachevsky, for this to make an impression, and I can safely say, that learning of Gauss and Riemann, I was truly impressed.
Einstein had to include that “extra dimension of time.” Greater then, or less then, 180 degrees and we know “this triangle” can take on some funny shapes when you apply them “to surfaces” that are doing funny things.?:)
Second, we must be wary of the “God of the Gaps” phenomena, where miracles are attributed to whatever we don’t understand. Contrary to the famous drunk looking for his keys under the lamppost, here we are tempted to conclude that the keys must lie in whatever dark corners we have not searched, rather than face the unpleasant conclusion that the keys may be forever lost.
Let me just say that “it is not the fact that any drinking could have held the mind” of the person, but when they absentmindedly threw their car keys. The “point is” that if the light shines only so far, what conclusion should we live with?
Moving to the Fifth
So of course whatever real estate you are buying, make sure the light is shining on what your willing to purchase? Is this not a good lesson to learn?
Moving any idea to a fifth dimension I thought was important in relation to seeing what Einstein had done. See further: Concepts of the Fifth Dimension. I illustrate more ways in which we may see that has not been seen for most could have helped the mind see how this is accomplished in current day geometric methods.
Why was this thought “wrong” when one may of thought to include “gravity and light” together, after the conclusion of spacetime’s 3+1? Gravity. What Had Maxwell done? What Had Riemann done?
You knew “the perfect symmetry” had to be reduced to General Relativity?
Two types of the extra-dimensional effects observable at collides.
So why would it matter to us if the universe has more than 3 spatial dimensions, if we can not feel them? Well, in fact we could “feel” these extra dimensions through their effect on gravity. While the forces that hold our world together (electromagnetic, weak, and strong interactions) are constrained to the 3+1-“flat” dimensions, the gravitational interaction always occupies the entire universe, thus allowing it to feel the effects of extra dimensions. Unfortunately, since gravity is a very weak force and since the radius of extra dimensions is tiny, it could be very hard to see any effects, unless there is some kind of mechanism that amplifies the gravitational interaction. Such a mechanism was recently proposed by Arkani-Hamed, Dimopoulos, and Dvali, who realized that the extra dimensions can be as large as one millimeter, and still we could have missed them in our quest for the understanding of how the universe works!
Of course these ideas are experimentally being challenged, like any good scientist would want of his theory. See EOT-WASH GROUP(4)