is the universe going thru a dimensional evolution? Is it growing?15 billions years ago, it is just a point. Now, it is a complex isolated thermodynamic system at thermal equilibrium between it gravitational energy and expansion energy, which was verified by NASA's COBE satellite in 1989. This dynamic equilibrium is exactly identical to the curve of blackbody radiation.
If it were at zero dimensions at time zero, what would be its dimension today? In 1912, Poincare demanded a precise definition: his name indicates that he did care about zero-dimension points, Poin (time) care, but time was removed from his name, his mortality prevented him from making a proper definition. He noted that a line is 1D because 2 points on the line can be cut and separated by a 0D point. By inductive reasoning, a space is n-dimensional if any two points can be disconnected by removing exactly (n-1)-dimensional subset. If we start by assuming that these 2 points are 2 0D objects then their connection is the 1D string. If the points are n-dimension then the connection is (n+1)-dimension. From this brief description, it may be surmiced that a proper dimension is just equal to the number of connections between points.


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