The string could be likened to the edge of a sheet of paper.
But all that matters, for your original question, is that empty space and matter are made of the same thing - strings.
So, is the one-dimensional string just the entry of our brane onto the surface of another higher dimensional object?
Wouldn't it be more correct to say that empty space is made of higher dimensional objects on which our universe or brane intersects creating these 1-dimensional strings we experience in our universe as matter?
Isn't a 1-dimensional string just the curvature of a higher dimensional object which appears in our universe? Have you seen this video by Brian Greene? http://www.ted.com/index.php/talks/brian_greene_on_string_theory.html
However, IMHO, the strings themselves are the ends of branes.
Are you asking about strings or about branes, because there's a difference.
If you're talking about space-time curvature, you're talking about gravity. If you're talking about gravity, you're talking about closed strings, always. (AN can correct me, but I think this is right.) If you're talking about closed strings, you don't need branes at all.
So gravity is just a specific excitation of closed strings.
Yeah
the string/1-dimensional brane has to be anchored to a D-brane, or onto itself.
(Depending on which theory/version your looking at, i guess)
But, is a 1-dimensional string the curvature of a higher dimensional object that appears in our universe, or not?
No, he didn't. Strings are fundamentally one dimensional objects, there's nothing like what you're describing to them.Brian Greene. See http://www.ted.com/index.php/talks/b...ng_theory.html
But I don't see hwo to go from there to "A string is an edge of an object".
Link broken.
I could be wrong, but if "higher dimensional object" means "four dimensional space-time", then I change my answer.
No, he didn't. Strings are fundamentally one dimensional objects, there's nothing like what you're describing to them.
Open strings have their ends stuck to branes (it's the definition of a brane) and the branes can be any number of dimensions, from 0 to 9. There are some instances where a multidimensional brane, say a D7 brane in AdS/CFT, extends through all of our space-time AND 3 other directions and so we see 4 dimensions of what is actually a 7 dimensional thing, but strings are strings are strings. The 1d strings as 1d. They then go on to define other objects but they are always one dimensional themselves.
Look at 15:30 on the link to Brian Greene. He said that strings reflect the geometry of the higher dimensional objects. The visualization he presents clearly shows a string vibrating in accordance with the geometry of the higher dimensional objects. Now, how is this not the intersection of our universe with the geometry of the higher dimensional object, where that intersection takes the form of a string?