Light Cones and Simultaneity

This is especially relevant when considering entangled particles, as their measurements can occur outside of each other's light cones. Therefore, the concept of simultaneity becomes relative and dependent on the observer's frame of reference. In summary, when trying to determine the order of events in quantum mechanics, the concept of a specific inertial frame of reference is crucial, as different frames can disagree on the order in which measurements were taken. This becomes especially complex when dealing with entangled particles, as their measurements can occur outside of each other's light cones, making simultaneity relative.
  • #1
thenewmans
168
1
Please tell me if I have this correct. A particle has both a future light cone and a past light cone. In the past is everything that can affect the particle without exceeding Special Relativity. Now let’s say you have 2 entangled particles and you measure them so that each measurement is taken outside of the other particle’s light cones. Determining which measurement was taken first requires a specific inertial frame of reference. If that’s correct then you can’t determine which measurement was taken first absolutely since you can always pick a specific inertial frame of reference which disagrees. (The events don’t require entanglement. I’m just thinking about QM.)
 
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  • #2
Yes, your understanding is correct. In order to determine which measurement was taken first, you need to have a specific inertial frame of reference. However, due to the fact that different frames of reference can disagree on the order in which measurements were taken, it is impossible to determine which measurement took place first absolutely.
 

1. What is a light cone?

A light cone is a visual representation of the paths that light can take in the fabric of spacetime. It shows the possible positions of an event at different points in time, taking into account the speed of light and the curvature of spacetime.

2. How do light cones relate to relativity?

Light cones are a key concept in understanding Einstein's theory of relativity. They demonstrate how events in spacetime can appear differently to observers in different reference frames, depending on their relative motion and position.

3. What is the significance of the intersection of light cones?

The intersection of light cones represents the concept of "simultaneity" in relativity. Events that occur at the same point in spacetime, which are within each other's light cones, can be considered simultaneous for all observers. However, events that occur outside of each other's light cones cannot be considered simultaneous for all observers.

4. Can anything travel faster than light within a light cone?

No, according to the principles of relativity, nothing can travel faster than light within a light cone. This is because light cones represent the fastest possible speed at which information can travel in spacetime.

5. How do light cones explain causality?

Light cones demonstrate the concept of causality, which is the idea that events can only be influenced by other events that occur within or on the boundary of its light cone. This means that an event can only be caused by events that are in its past light cone, and it can only affect events in its future light cone.

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