Naked Science Forum

On the Lighter Side => New Theories => Topic started by: talanum1 on 22/10/2021 11:09:42

Title: How is my Light Cone Defined?
Post by: talanum1 on 22/10/2021 11:09:42
Light cones start at a point in 2-dimensional space. I am a observer and not a point so how is my light cone defined? Also I see persons next to me and can remember their position in the past. Do the origins of  our light cones overlap?
Title: Re: How is my Light Cone Defined?
Post by: Origin on 22/10/2021 14:45:20
Light cones start at a point in 2-dimensional space. I am a observer and not a point so how is my light cone defined?
After 10 seconds your light cone will have a diameter of 6 million km, so it is a good approximation to consider yourself a point. 
 
Also I see persons next to me and can remember their position in the past. Do the origin of  our light cones overlap?
Let's assume you and the other person are 100 km apart.  The origin of your 2 light cones do not start in the same place but they are very close.  After 10 seconds your light cones will essentially be the same.  That is, both light cones will have a diameter of 6,000,000 km but the will be offset from each other by 100 km, which is negligible.
Title: Re: How is my Light Cone Defined?
Post by: Halc on 22/10/2021 16:03:01
Light cones start at a point in 2-dimensional space.
Light cones start a a point (event) in 4-dimensional spacetime. A point in space (however many dimensions) does not define a light cone.

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I am a observer and not a point so how is my light cone defined?
Close enough to a point in space. Earth is often considered a point. Buy you're definitely not an event, so you don't define a light cone. You at a defined moment in time might.

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Do the origins of  our light cones overlap?
I don't see how points can meaningfully overlap. They're the same point or they're not.