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Gödel's solution to Einstein's field equations (2021)

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Re: Gödel's solution to Einstein's field equations (2021)

#11

Does this mean that traveling faster-than-light can be considered a form of time travel?

Yes, which is why sci fi scenarios in which ships whiz between star systems will never, ever, ever happen.

In reality it’s debatable, but within the logic of the fiction universe it holds, yeah?

To be able to move those sorts of distances and arrive at a time comparable to the origins absolute time would require the “time travel” aspect of ftl, right?

Re: Gödel's solution to Einstein's field equations (2021)

#12
post #7
post #6

Earlier quoted context omitted.

Also, any kind of instantaneous communication. Unless the theory of relativity is superseded by something quite radically different.

High school educated talking here. Does Quantum Entanglement have any promise for instantaneous communication (theoretically) ?

https://news.fnal.gov/2020/12/fermilab-and-partners-achieve-....

Re: Gödel's solution to Einstein's field equations (2021)

#13
post #7
post #6

Earlier quoted context omitted.

Also, any kind of instantaneous communication. Unless the theory of relativity is superseded by something quite radically different.

High school educated talking here. Does Quantum Entanglement have any promise for instantaneous communication (theoretically) ?

Nope, entangled pairs are basically the following in JS:

    class RawQuantum { 
      value = () => this._hidden ??= Math.random() 
    }

    class EntangledQuantum extends RawQuantum {
      valueA = () => this.value()
      valueB = () => 1 - this.value()
    }

    const {valueA, valueB} = new EntangledQuantum()
You can give valueA to one procedure and valueB to another and know that whenever the _hidden field is observed, the two will have complementary views of the data. But this doesn't give the two procedures any way to communicate, and there's no measurable difference between resolving the _hidden filed now or later.

Re: Gödel's solution to Einstein's field equations (2021)

#14
post #7

Earlier quoted context omitted.

High school educated talking here. Does Quantum Entanglement have any promise for instantaneous communication (theoretically) ?

https://news.fnal.gov/2020/12/fermilab-and-partners-achieve-... .

That's about transmitting qubit-encoded information. It has absolutely nothing, at all, to do with FTL communication. It's a somewhat more elegant solution than USPS for solving the problem of "I have a qubit here, I want to move it over there".

Re: Gödel's solution to Einstein's field equations (2021)

#15
post #7

Earlier quoted context omitted.

High school educated talking here. Does Quantum Entanglement have any promise for instantaneous communication (theoretically) ?

Nope, entangled pairs are basically the following in JS: class RawQuantum { value = () => this._hidden ??= Math.random() } class EntangledQuantum extends RawQuantum { valueA = () => this.value() valueB = () => 1 - this.value() } const {valueA, valueB} = new EntangledQuantum() You can give valueA to one procedure and valueB to another and know that whenever the _hidden field is observed, the two will have complementar…

To elaborate somewhat on the basically, the key difference between this example (and the more common "put a left shoe in one shoebox, a right shoe in another, shuffle, and send each to different people" example) and actual quantum entanglement involves being able to choose from a multi-axis spectrum of different measurements, and the resulting level of correlation precluding the possibility of there being a local hidden variable (the leftness or rightness of the shoe in the box before opening).

Re: Gödel's solution to Einstein's field equations (2021)

#17
post #7

Earlier quoted context omitted.

High school educated talking here. Does Quantum Entanglement have any promise for instantaneous communication (theoretically) ?

Nope, entangled pairs are basically the following in JS: class RawQuantum { value = () => this._hidden ??= Math.random() } class EntangledQuantum extends RawQuantum { valueA = () => this.value() valueB = () => 1 - this.value() } const {valueA, valueB} = new EntangledQuantum() You can give valueA to one procedure and valueB to another and know that whenever the _hidden field is observed, the two will have complementar…

That only works if you replace "basically" with "not really". With this code you can't violate Bell's inequalities[1], which is a really important feature of Quantum Mechanics.

[1] https://en.wikipedia.org/wiki/Bell%27s_theorem

Re: Gödel's solution to Einstein's field equations (2021)

#18

Earlier quoted context omitted.

Yes, which is why sci fi scenarios in which ships whiz between star systems will never, ever, ever happen.

In reality it’s debatable, but within the logic of the fiction universe it holds, yeah? To be able to move those sorts of distances and arrive at a time comparable to the origins absolute time would require the “time travel” aspect of ftl, right?

Most sci fi just pretends relativity doesn’t exist.

Yes, the point is that any way to send a signal between space like separated events A and B (in sr or gr) would also allow a return signal to be sent back from B to event C in the past of A. So any means of ftl signaling (wormhole, warp drive or whatever) is tantamount to building a time m achine. No amount of techno optimism or can-do cleverness will ever be sufficient to surmount this obstacle in real life.

Incidentally the Gödel metric runs into causality violation in a different way: closed timelike curves. No need for ftl , it’s even less realistic as Einstein is quoted pointing out in the article.

Re: Gödel's solution to Einstein's field equations (2021)

#19
post #5

So to solve physics, you don't just have to be smarter and more creative than Einstein, but than Einstein and Godel combined.

But you know that the Bells equations for the 'spooky action at distance' are violated by QM, which they didn't. Among many other new experiments results..

Re: Gödel's solution to Einstein's field equations (2021)

#20

The article mentions "few known exact solutions". There are actually quite a number. Most are from after 1950. Cambridge University Press has two good books: Exact Spacetimes in Einstein's General Relativity (Griffith & Podolsky) - good readable (if you speak GR) account of the more common solutions Exact Solutions of Einstein's Feild Equations (Stephani, Kramer, MacCallum, Hoenstelaers, Herlt) - encyclopedic, author…

the gr_qc list on arXiv is quite vivid, it's pretty amazing what this system of equations yields as solutions.

https://arxiv.org/archive/gr-qc

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