Recent content by Eytan Suchard
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Graduate Energy distribution on Alcubierre walls
Hi, You can see my original paper. In IOPScience and a more advanced paper in arXiv. http://iopscience.iop.org/article/10.1088/1742-6596/845/1/012019 And a fix to (35) on page 22, and to appendix B, (B.1),(B.3),(B.7) in https://arxiv.org/abs/1806.05244 Thank you, Eytan.- Eytan Suchard
- Post #8
- Forum: Special and General Relativity
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Undergrad What happens to the energy lost by photons in gravity?
Hi, 1) It definitely depends on either you are a Lagrangian or an Eulerian observer. Suppose you are a Lagrangian observer who freely falls through the gravitational field in an elevator whose cable was cut off by some malicious entity. Suppose you have a photon that bounces between two...- Eytan Suchard
- Post #7
- Forum: Special and General Relativity
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Graduate Energy distribution on Alcubierre walls
The following combination acts as a source and as a sink for, say, tiny material reference clocks that are scattered in the space-time of the spaceship which is illustrated by the image. Each wall is two hollowed balls of positive and negative energy. In the middle of the internal balls the...- Eytan Suchard
- Post #6
- Forum: Special and General Relativity
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Graduate Energy distribution on Alcubierre walls
Will that work despite the fact that (12) in Alcubierre's paper https://arxiv.org/pdf/gr-qc/0009013.pdf is not fulfilled ? My intuition tells me yes and that the motion will be towards the left.- Eytan Suchard
- Post #4
- Forum: Special and General Relativity
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Graduate Energy distribution on Alcubierre walls
Hi, the trace of the extrinsic tensor K(Myu,Nu) in Alcubierre metric, relative to the foliation normal vector is non zero on the rear x=rs+R (because it starts at negative rs) and front x=rs-R "walls". This is the normal volume component Tr =k(0,0)+k(1,1)+k(2,2)+k(3,3) and should affect the...- Eytan Suchard
- Post #3
- Forum: Special and General Relativity
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Graduate Energy distribution on Alcubierre walls
Actually it is Tr = k(0,0)+k(1,1)+k(2,2)+k(4,4). Also (Tanh(x+R)-Tanh(x-R))/Tanh(Sig R) gets a weak maximum at x = 0. The simple model of anti-energy at the rear wall and energy at the front, does not yield this function and does not yield 0 g at the center of the spaceship. The pilot will be...- Eytan Suchard
- Post #2
- Forum: Special and General Relativity
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Graduate Energy distribution on Alcubierre walls
Hi, the trace of the extrinsic tensor K(Myu,Nu) in Alcubierre metric, relative to the foliation normal vector is non zero on the front x=rs+R and rear x=rs-R "walls". This is the normal volume component Tr =k(1,1)+k(2,2)+k(3,3) and should affect the Ricci tensor in Lorentzian/Minkowsky 4D. How...- Eytan Suchard
- Thread
- Alcubierre warp drive Distribution Energy General relaivity General relativity
- Replies: 7
- Forum: Special and General Relativity