ToeQuest

AntonioLao · 04:27 PM

Within a global coordinate patch where the 2D gravitational potential is practically zero, a point starting at the origin moving toward positive infinity along the surface of a one-sided Moebius strip, will find itself traveling back to the origin via negative infinity. Vice versa, a point, again, starting at the origin traveling toward negative infinity will find itself back to the origin via positive infinity. These distinctions are possible if and only if a unit circle is centered at the origin with fixed counterclockwise or clockwise rotation. See the images below.

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AntonioLao · 04:27 PM

At the local infinitesimal domain of space-time, the tetrads of the vector fiber bundles form two distinct topological structures given by a set of pair of polar functions which represent unit circles. These could be used to describe the directional invariance of two distinct local infinitesimal motions shown by the image below:

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AntonioLao · Quote #3 (**permalink**) 05-10-2006, 03:40 PM

These local infinitesimal motions could also be used to define local absolute accelerations a. Their inner product with the vector metric r is a constant square of lightspeed $\mathbf{a}\cdot\mathbf{r}=c^2$ .

Guille · Quote #4 (**permalink**) 05-10-2006, 04:19 PM

Antonio,

Your view of how the entities (space, time, matter, force, energy...) interact is very interesting. One thing I wonder: what determines the size of the circle in the graphs?