0:50’s Reviews > The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden Dimensions > Status Update

"The manifold, in other words, has to be like a torus rather than a sphere and have at least one hole. "
But what is the hole?? What space does it belong to?

"These manifolds, they noticed, seemed to come in pairs in which the number of even-dimensional holes of one equaled the number of odd-dimensional holes of the other. "

"parity violation—the idea that the fundamental laws of nature distinguish between left and right and are not symmetric in this respect" Nice...so it is fundamental. Perhaps this is the "form of transcendence" relating monads to each other, or maybe just the dimension after "law": maybe w a complex eigenspace such that it aligns with the law when rotated

Basically, to set a Ricci curvature at zero is to to create tangent vector spaces that through their co-occurence approximate a condition of flat Euclidean space, which means that these vector spaces inside the non-euclidean object must make of the object a single element of a larger complex space through performing rotations that cancel each other.

Ricci-flat - the vector space associated with a certain curvature can avg zero in "curvature"

In the ball vase movement, the AdS constantly transforms into de-Sitter and vice-versa: dS becomes replaced with former AdS and AdS becomes replaced with former dS: former, past turns to a possibility of repetition and the latter, future possibilities actualize and narrow. Mass-gravity would then be possibilization of what has become actual and anti-gravity would be actualization of possibility.

The ball-vase movement between de-Sitter and anti-de Sitter hyper-surfaces could be achieved if the both of the hyper-surfaces had opposite directions of movement at the same time, which makes sense because as time moves towards singularity the possible states in anti-de-sitter space also become fewer. Time might as well be defined through restriction of possibilities.

Ok, so us being in de-Sitter space is better thought of as being in a positively curved hypersurface, and the Anti-de Sitter is the opposite, anti-gravity being bumps that create positive curvature in anti-de Sitter space. The poles would then be the black holes Ok, so I misunderstood some at first but look: WHAT IF the positively curved hypersurface moves into a vase surface like I said in a previous comment?

After you took a derivative of some world line you could group it along with associated world lines (that the world line is directly related to so as not to be arbitrary, "a system") and having grouped only those related ones together, you could form of them a vector space for studying that segment of Ads space. Question for antigravity would be: how to make state override time so that ads space attains positive curv

If our spacetime is a closed, definite de Sitter-space, it would have poles where its curvature would approximate Minkowski space. That would be an area with zero gravity just before adS-state universe. If you take derivatives of world lines, ie. the relation of the change in amount of three space coordinates to change in time, summary of the derivatives of all the world lines would be a state in adS space.