First of all, ignore my first post as you have gotten to the bottom of that, I sure came out with a bang! I love this stuff and am beyond fascinated by it. I have no formal education in the subject just an outsider yearning for this understanding. Now on to why I posted this one.
Greene discusses the total entropy attainable in a black hole discovered by Hawking and Bekenstein as evidence to support that the most entropy you can shove into a region of space is proportional to its surface area, not its volume. Does this say that a two dimensional surface displays a reality contained within a higher dimensional space? This points to our perception of three dimensional space as being a holographic representation of a higher dimensional reality. Is it beyond our perception, even in physical or mathematical principles at this point, thus the need for string theory? Does this seem to be an accurate portrayal, or way off mark?
I have two other questions as well that are related I believe. Is our motion through time with respect to space analogous in any way to impedance of an electrical circuit with respect to its resistance? I am an EE major and understand this phasor relationship with imaginary components (the more capacitive or inductive the circuit is, the more impedance with respect to resistance), yet also understand the special relativity discussion in regards to different observers witnessing different orders of events by virtue of their motion. I imagine motion through spacetime is not the simple addition of the two motion vectors (time motion and space motion), as it is explained in Greene’s book, but is this analogous in any way?
Greene also states that gravity is repulsive as well as attractive, yet you (cavediver) said that it is always attractive. I thought that repulsive gravity was essentially negative gravity and requires vast amounts of empty space to achieve. Is this in any way accurate?