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About LinkBacksWithin 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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Thread: to eternity and back
- 05-10-2006 01:50 PM #1Raider of the lost time
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to eternity and back
Last edited by AntonioLao; 01-14-2008 at 04:27 PM.
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
- 05-10-2006 03:11 PM #2Raider of the lost time
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Re: to eternity and back
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:
Attachment 241Last edited by AntonioLao; 01-14-2008 at 04:27 PM.
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
- 05-10-2006 03:40 PM #3Raider of the lost time
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Re: to eternity and back
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 [math]\mathbf{a}\cdot\mathbf{r}=c^2[/math].
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
- 05-10-2006 04:19 PM #4The Thinker
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Re: to eternity and back
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?
- 05-10-2006 06:59 PM #56th degree Black Belt
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Re: to eternity and back Antonio, do these indicate a tendancy towards balance?
The first is only interesting if it is the beginning of something. The first is not interesting if it is the only - Djanet Sears
- 05-10-2006 11:23 PM #6Green Belt
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Re: to eternity and back
So what exactly is your point ?
We all know the properties of a Moebus. Going round in circles are we ???
Steve . W here has all the time gone ? Your Time is my Spacetime.
- 05-11-2006 03:49 PM #7Raider of the lost time
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Re: to eternity and back
The local infinitesimal orthogonal forces. Their existence is suppressed by general relativity.
Originally Posted by GUILLE
tending to balance the orthogonal forces at the local infinitesimal level of space-time. Originally Posted by harmonygirl
To find the orthogonal forces at the local infinitesimal region of space-time using the concept of absolute local infinitesimal accelerations. Originally Posted by pagan3142 Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
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