Space-Like Intervals: Can Events Effect Each Other?

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Discussion Overview

The discussion revolves around the implications of spacelike intervals between events in the context of relativity. Participants explore whether such intervals prevent events from affecting each other and the observational capabilities of different observers regarding these events.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that if the interval between two events is spacelike, then the events cannot affect each other.
  • Others argue that while spacelike intervals imply no causal connection, some observers may still be able to observe both events through the reception of light signals originating from them.
  • A later reply questions the implications of some observers being able to see both events, suggesting that this could mean there are events that some observers will never see.
  • One participant introduces the concept of FRW spacetimes, noting that certain observers may be outside the future light cone of an event, which could further complicate the understanding of observability.
  • Another participant expresses a lack of familiarity with FRW spacetimes, indicating a gap in understanding regarding the implications of this concept in the discussion.

Areas of Agreement / Disagreement

Participants do not reach a consensus, as there are competing views on the relationship between spacelike intervals, causality, and observability of events.

Contextual Notes

Some assumptions regarding the definitions of "observe" and the implications of light signal reception are not fully explored, leading to potential misunderstandings. The discussion also reflects varying levels of familiarity with advanced concepts like FRW spacetimes.

Ed Quanta
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So if the interval between two events is spacelike, does that mean that the two events cannot effect each other? Does that also mean that no observer can observe both events?
 
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Ed Quanta said:
So if the interval between two events is spacelike, does that mean that the two events cannot effect each other?
Yes.

Ed Quanta said:
Does that also mean that no observer can observe both events?
If you mean by observe the reception of light signals originating from such an event then some observers will be able to observe both events. Just be aware that the reception of light signals originated from an event, which is by itself an event, is not the same as the observed event.
 
Last edited:
Hello MeJennifer.

Quote:-

---If you mean by observe the reception of light signals originating from such an event then some observers will be able to observe both events.-----

If only some observers can see both events doesn't this imply that there can be an event that some observers never see ? I note your caveat about the difference between the reception of light from an event and the event itself and assume it is relevant but the relevance is not understood by me.

Matheinste.
 
matheinste said:
Hello MeJennifer.

Quote:-

---If you mean by observe the reception of light signals originating from such an event then some observers will be able to observe both events.-----

If only some observers can see both events doesn't this imply that there can be an event that some observers never see ? I note your caveat about the difference between the reception of light from an event and the event itself and assume it is relevant but the relevance is not understood by me.

Matheinste.
Consider for instance FRW spacetimes where some observers will forever be outside the future light cone of the event in question.
 
Hello MeJennifer.

Thanks for your reply. I have not yet learned about FRW spacetimes so this is unfortunately lost on me as yet. Is the OP at such a level of understanding.

Matheinste.
 

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