Can One Event Cause Another if Separated by a Lightlike Interval?

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In summary, the question of whether an event separated by a lightlike interval can cause another event ultimately comes down to the definition of an event. If an event is defined as the initiation of another event, then it is possible for the first event to have caused the second event. However, if an event is defined as something that occurs after a certain amount of time has passed, then it would not be possible for the first event to have caused the second event. Ultimately, the answer may vary depending on how one defines an "event."
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Tobbin92
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Homework Statement



One event is separated from another by a lightlike interval, can the first event have caused the other.

Homework Equations



The equations are not important.

The Attempt at a Solution



It all seems to boil down to the definition of an event, can you call the light arriving at that point in space an event? Then you could say that the first event caused the other. However if the photon is supposed to "cause" an event that implies that time has to go on before the event occurs, even if an infinitessimaly small amount of time floats by, the first event could not have caused the other since it then would be a timelike interval instead.
 
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I would say in general that an emission event can be said to end at the moment a photon leaves its source, and an absorption event can be said to start the moment the photon reaches its destination. This supports your argument, and I would be inclined to agree with your answer, just be sure you have all your definitions of what is meant by "event" cleared up with your teacher/text.
 
  • #3
I found the solution after a lot of searching in my coursebook. Apparently it falls out from the definition of an event, as event is defined (At least in my literature "Spacetime Physics - An introduction to special relativity") the initiation of an event is an event in itself.

Therefore the only thing that can initiate such initiating events are gravitons, neutrinos and of course photons because these are the only things that travel at the speed of light. This leads to the conclusion that an event separated by a lightlike interval from a second event could have been caused by the second event.
 

FAQ: Can One Event Cause Another if Separated by a Lightlike Interval?

What is a lightlike separation?

A lightlike separation refers to the distance between two events in spacetime, measured along a path that a beam of light would take between them. This type of separation is also known as a null separation.

How is a lightlike event different from a timelike or spacelike event?

In terms of spacetime diagrams, a lightlike event lies on the diagonal line, while a timelike event lies above the diagonal and a spacelike event lies below the diagonal. Lightlike events have a separation of zero, while timelike events have a positive separation and spacelike events have a negative separation.

What are some real-life examples of lightlike separations?

Some examples include the distance between the source and observer of a radio signal, the distance between two simultaneous events in the same location, and the distance between two points on the edge of a black hole's event horizon.

Can a lightlike separation be negative?

No, a lightlike separation must always be zero. If the separation between two events is negative, it is considered a spacelike separation.

How does the concept of lightlike separations relate to Einstein's theory of relativity?

Einstein's theory of relativity is based on the idea that the laws of physics are the same for all observers moving at a constant velocity. Lightlike separations are used to describe the distances between events in spacetime, which is a fundamental concept in the theory of relativity.

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