- #1
ArielGenesis
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I am sorry with the bad title and I am physics major with very weak math. So I come to the forum to rescue me.
Basically I have one question, what does a "point-like creature" on a one dimensional line "sees" on different geodesics?
if the line is flat, then the creature can sees everything on the line, right?
If the line has a positive curvature, can the creature sees anything beyond itself? I mean we can see the horizon because we have non-zero height, as we get shorter, the horizon gets smaller and if we have zero height, then the horizon would suddenly collapse to just the immediate proximity. am I right, but these seems strange.
More over I want to confirm one thing. A positive geodesic is essentially a negative geodesic if it does not matter on which side of the line the creature is. Then my point would be, does which side of the line matters?
Can such creature see beyond the (a kink) non-differentiable parts of the line?
Last but not least, sooner or later I will study Special Relativity and General Relativity where geodesic become a main topic. I just want to have a good intuition about the nature of space and dimension before coming to class.
Thank You,
Regards,
A
Basically I have one question, what does a "point-like creature" on a one dimensional line "sees" on different geodesics?
if the line is flat, then the creature can sees everything on the line, right?
If the line has a positive curvature, can the creature sees anything beyond itself? I mean we can see the horizon because we have non-zero height, as we get shorter, the horizon gets smaller and if we have zero height, then the horizon would suddenly collapse to just the immediate proximity. am I right, but these seems strange.
More over I want to confirm one thing. A positive geodesic is essentially a negative geodesic if it does not matter on which side of the line the creature is. Then my point would be, does which side of the line matters?
Can such creature see beyond the (a kink) non-differentiable parts of the line?
Last but not least, sooner or later I will study Special Relativity and General Relativity where geodesic become a main topic. I just want to have a good intuition about the nature of space and dimension before coming to class.
Thank You,
Regards,
A
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