Originally posted by KellyJayyeah, you are quick. check my edit๐ i amended my post. the diameter is not in 2D space, it is a shortcut through the 3rd.
Again, you can take a globe wrap a tape measure "AROUND IT" and
it will connect the dots across the globe. If you take a sphere and look
at its diameter or radius, you will have straight lines.
Kelly
Originally posted by KellyJaydude, i already gave you the answer. a line in 2d is not always straight in 3d. a line in 3d is curved in 4d.
Is it straight, or does it have a bend or curve to it?
Kelly
fine. let's start giving more concrete examples.
http://en.wikipedia.org/wiki/Curved_space
better explained, and since i am not an expert i might do mistakes. read that link.
Originally posted by ZahlanziAs I pointed out, a curved line is not straight.
dude, i already gave you the answer. a line in 2d is not always straight in 3d. a line in 3d is curved in 4d.
fine. let's start giving more concrete examples.
http://en.wikipedia.org/wiki/Curved_space
better explained, and since i am not an expert i might do mistakes. read that link.
Kelly
Originally posted by KellyJay…In my reality straight lines are straight lines…
๐ I agree
In my reality straight lines are straight lines, and in his circles are
straight lines too.
Kelly
Yes, in 3-dimentions -NOT 4-dimentions:
http://www.geocities.com/jsfhome/Think4d/Hyprsphr/hsphgrav.html
“The theory of relativity states that a concept known as curved space is responsible for the action of gravity”
So, without 4-dimensional curvature there would be no gravity and, wherever there is gravity, there is
4-dimensional curvature -thus all lines that you can draw that are straight in 3-dimensions have
4-dimensional curvature.
Originally posted by Andrew Hamiltonyou are wasting your time, i already explained that with 2d lines having 3d curvature and it went right through him. like the tunnel from new york to france took a shortcut through the 3rd dimension, he took a shortcut through lala land.
[b]…In my reality straight lines are straight lines…
Yes, in 3-dimentions -NOT 4-dimentions:
http://www.geocities.com/jsfhome/Think4d/Hyprsphr/hsphgrav.html
“The theory of relativity states that a concept known as curved space is responsible for the action of gravity”
So, without 4-dimensional curvature there would be no grav ...[text shortened]... us all lines that you can draw that are straight in 3-dimensions have
4-dimensional curvature.[/b]
Originally posted by ZahlanziI honestly never heard of “lala land” so I looked it up to see what you were talking about:
you are wasting your time, i already explained that with 2d lines having 3d curvature and it went right through him. like the tunnel from new york to france took a shortcut through the 3rd dimension, he took a shortcut through lala land.
http://www.bebo.com/Profile.jsp?MemberId=6009121357
๐
Originally posted by ZahlanziIt isn't Lala land; I simply pointed out that if you draw a line
you are wasting your time, i already explained that with 2d lines having 3d curvature and it went right through him. like the tunnel from new york to france took a shortcut through the 3rd dimension, he took a shortcut through lala land.
around a sphere, it isn't really a straight line, it will be going
around the spheres circumference which is curved, which is
why words like “going around” are used in the description.
Kelly
Originally posted by KellyJay…it isn't really a straight line,…
It isn't Lala land; I simply pointed out that if you draw a line
around a sphere, it isn't really a straight line, it will be going
around the spheres circumference which is curved, which is
why words like “going around” are used in the description.
Kelly
Yes, it is not straight in 3-dimentions but it IS straight in 2-dimentions.
This is analogous of a line that is not straight in 4-dimentions but it IS straight in 3-dimentions -a very simple concept to understand!
Originally posted by KellyJayI do realize that you don't accept Einsteins General Theory of Relativity. I am curious though, how do you explain that modern technology (which is mostly based on the assumption that Einstein was right) still works?
You believe a straight line cannot exist in reality, okay. No, your
reality and mine are different, you can do what you will in yours.
Kelly
One wonders also to what extent you deny scientific theories. Do you think the earth is flat? Why not? Surely you don't trust scientists on that one?
In case you are not following my line of reasoning here: Einsteins General Theory of General Relativity states that space is curved by matter and gravity is a result of that curvature. In other words, wherever there is gravity there is curvature. So a straight line (by your definition) with no curvature could not exist in the three space dimensions of the universe.
Originally posted by twhiteheadSpheres circumference which are curved can have a straight edge laid
I do realize that you don't accept Einsteins General Theory of Relativity. I am curious though, how do you explain that modern technology (which is mostly based on the assumption that Einstein was right) still works?
One wonders also to what extent you deny scientific theories. Do you think the earth is flat? Why not? Surely you don't trust scientists ...[text shortened]... r definition) with no curvature could not exist in the three space dimensions of the universe.
on them, or drawn through them, the fact that a sphere is curved
means just that, the sphere is curved. Drawing a line on the sphere
from one end around so it touches itself is drawing a circle not a
straight line.
I also realize that there is not theory of everything, things break down
when you look at the very large and go to the very small. I submit it is
because we don't know it all works together. You it seems want to draw
upon a sphere circumference and not call a circle a circle, you deny
straight edges as being part of reality. I am not denying we get a
great deal out of Einstein’s General Theory of Relativity; however, it
doesn't mean because if something fits the theory it is necessarily
true, it only means it fits the theory.
Kelly
Originally posted by Andrew HamiltonYea, I'm sure straight line circles are logical between your ears, but
[b]…it isn't really a straight line,…
Yes, it is not straight in 3-dimentions but it IS straight in 2-dimentions.
This is analogous of a line that is not straight in 4-dimentions but it IS straight in 3-dimentions -a very simple concept to understand![/b]
it is a contradiction as far as I'm concern. If it has a curve to it and it
curves back upon itself that is a circle, not hare to define they go
around, while a straight line does not bend or curve, if you bend a line,
or put a curve into it, it is no longer straight where the bend or the
curve is.
Kelly
Originally posted by KellyJay…while a straight line does not bend or curve, if you bend a line,
Yea, I'm sure straight line circles are logical between your ears, but
it is a contradiction as far as I'm concern. If it has a curve to it and it
curves back upon itself that is a circle, not hare to define they go
around, while a straight line does not bend or curve, if you bend a line,
or put a curve into it, it is no longer straight where the bend or the
curve is.
Kelly
or put a curve into it, it is no longer straight where the bend or the
curve is. ,…
-in 1-dimentions or 2-dimentions or 3-dimentions?
-in which one of these contexts?
If there was no 4-dimensional curvature of 3-dimensional space then gravity wouldn’t work, relativity would be wrong and our modern technology wouldn’t work.
By rejecting the notion of 4-dimensional curvature of 3-dimensional space you are clearly being anti-science.
Originally posted by Andrew HamiltonHere is the bottom line, once you put a bend in the line it isn't
[b]…while a straight line does not bend or curve, if you bend a line,
or put a curve into it, it is no longer straight where the bend or the
curve is. ,…
-in 1-dimentions or 2-dimentions or 3-dimentions?
-in which one of these contexts?
If there was no 4-dimensional curvature of 3-dimensional space then gravity wouldn’t work, relativit ...[text shortened]... the notion of 4-dimensional curvature of 3-dimensional space you are clearly being anti-science.[/b]
a completely straight line, once you put a curve in it, it is curved
where the curve is, and that is true no matter how you look at it
in reality.
Kelly
Originally posted by KellyJayWhat if the 3d sphere is in a non flat 3d space? Then the 'straight edge' that you talk about is either not straight in 4d, or cannot exist in the 3d space.
Spheres circumference which are curved can have a straight edge laid
on them, or drawn through them,
Now for another question: If I have a straight line in space, how can I tell that it is straight? Can you suggest a method for identifying whether a line is straight? If not, then what use is the word?
Keep in mind that you cannot 'look along it' as light does not travel in straight lines (according to you).