Does Lorentz invariance rule out time travel to the past?

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Is going back in time fundamentally ruled out by Lorentz invariance? Or not? Or is it something else?
 
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Nugatory said:
What exactly do you mean by "going back in time"?
Either as a physical transportation, or literally turning back time.
 
John Fennie said:
Either as a physical transportation, or literally turning back time.

Try it. Substitute t → -t in any of the Lorentz transformation. Has anything changed?

Zz.
 
ZapperZ said:
Try it. Substitute t → -t in any of the Lorentz transformation. Has anything changed?

Zz.
Take t to be positive, the metric will then have all positive (or all negative) components, hence no time component.
But I am not sure what you are trying to have me see.
 
John Fennie said:
But I am not sure what you are trying to have me see.
The t term in the metric is squared. Negating its sign has what effect?
 
jbriggs444 said:
The t term in the metric is squared. Negating its sign has what effect?
It does not have any effect on the spacetime interval, which means that having negative t is allowed.
 
John Fennie said:
which means that having negative t is allowed.
Do you believe that all possible mathematical solutions apply to the real Universe?
You should, perhaps replace "means" with "could imply".
 
sophiecentaur said:
Do you believe that all possible mathematical solutions apply to the real Universe?
You should, perhaps replace "means" with "could imply".
I understand. How do you guys interpret time physically? Because even time reversal is allowed, how can one physically have say, a particle, go back in time? Is there any sort of theory on the physical applications for going backward? (Just like traveling in a spaceship is a physical application for going forward.)
 
John Fennie said:
How do you guys interpret time physically?

That which a clock measures.

John Fennie said:
Because even time reversal is allowed, how can one physically have say, a particle, go back in time? Is there any sort of theory on the physical applications for going backward? (Just like traveling in a spaceship is a physical application for going forward.)

There are no accepted theories that unambiguously accept or suggest that time travel into the past is a real possibility.

Note that discussion of time travel into the past is generally not allowed here at PF.

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