On 13 Sep 2015, at 19:29, John Clark wrote:

On Sun, Sep 13, 2015  Bruno Marchal <marc...@ulb.ac.be> wrote:

​> ​Gödel was a logician. he constructed a model of the theory GR, just to show a counter-example to some proposition by Einstein.​ ​

​Godel showed that if the universe were different from the way it is then a time machine would be possible, but it the universe were different from the way it is perpetual motion machines would be possible too. ​

Gödel shows that Einstein's equation allows circular space-time loop. He provided a model with rotating universe, but other have shown that in a non rotating universe a rotating mass, heavy enough, can generate space time deformation leading to circular time loop.




​> ​That pure GR leads to close time circle is of some conceptual importance, especially that you don't need to rotate the universe, it is enough to rotate a massive cylinder in the universe,

Tipler ​(not Godel) ​found a solution in General Relativity that show​ed that an infinitely long,

To simplify the calculus. I think. Not really the time to plunge in GR right right now.


extremely dense cylinder made of Neutronium (the stuff of Neutron Stars) and spinning at almost the speed of light would be able to tip a light cone enough to act as a time machine and allow you to visit the past, but there are two very important problems​:​ 1) Nobody knows if a cylinder of finite length would also work, the math is too difficult to figure out.

OK.


2) The very rapid rotation would cause the cylinder to fly apart. This is much more than just an Engineering difficulty, no known force in Physics would be strong enough to hold the cylinder together, not even the strong nuclear force. So for this to work new Physics would need to be found, which is just another way of saying that as far as we know now it

​ is​ impossible.


Perhaps.

Bruno



  John K Clark



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