Timeline for Special theory of relativity paradox (buoyancy)
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| 2 days ago | comment | added | Claudio Saspinski | @fishinear The length contraction is a side effect of the desynch of clocks. From the perspective of the crew, its length doesn't change, and there is liquid outside everywhere doing pressure. Bernoulli principle is a consequence of Newton second law for fluid flow inside pipes of varying sections. It doesn't applies here. Of course there would be big dragging effects for a real liquid. But it was supposed frictionless. | |
| 2 days ago | comment | added | fishinear | The $A$ in that equation is the projected horizontal surface area of the submarine. That surface area changes due to relativistic length contraction. That's why it is reasoned that the equilibrium should change. As side note, the $p_{bottom}$ and $p_{top}$ also change due to Bernoulli's principle, but I don't see anybody talking about that. | |
| 2 days ago | comment | added | Claudio Saspinski | @sixtytrees that is why I used the principle of equivalence to avoid the complications of curved spacetime. For a flat spacetime approximation I don't see any reason for the sub sinks of floats. | |
| 2 days ago | comment | added | sixtytrees | The general consensus is that the sub sinks if it moves relative to the sourse of gravity. I would not pretend that I understand the gravimagnetic correction in this case, but it makes the liquid undergo relativistic compression and even strunger effect on the submarine gravitational pull (due to the gravimagnetic component). | |
| Oct 11 at 2:59 | history | answered | Claudio Saspinski | CC BY-SA 4.0 |