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The Problem Light, traveling at 186,000 miles per second, will travel about 6 trillion miles in one year. There are galaxies that are alleged to be billions of light-years distant from us in space.
This means that the light, which left the galaxies 5 billion years ago, should just now be reaching us.
Using this formula, and a radius of curvature of 5 light-years for Riemannian space, the time for light to reach us from points in our own solar system is practically the same for either Euclidean or Riemannian distances, and there is not much of a change even out to the nearest star (4 1/2 light-years).
But if we insert an infinite Euclidean distance for the farthest conceivable star, it would take only 15.71 years for light to reach us from that distance!
Because the distances to the stars are so great, the sides of the triangle are virtually perpendicular and so only the nearest stars (up to about 200 light-years) can be measured by this technique.
For example, our sun is 8 light minutes from us, so the baseline of the triangle would be 16 light minutes.
(3) It is possible that the speed of light was considerably faster in the past. One suggestion is that the speed of light has been slowing consistently over the last 300 years, which extrapolates to a speed 5 x 10 If this is true, light from a 5 billion light-year star (assuming the distances actually are that great) would have reached us in 3 days!
where r is the Euclidean or straight-line distance, and R is the radius of curvature of Riemannian space.This is difficult to illustrate, but suffice it to say that there are two concepts of the "shape" of outer space.One is that it is straight-line (Euclidean), and the other is that it is curved (Riemannian).This is accomplished by a technique known as triangulation, or parallax.
Surveyors use this method using the laws of trigonometry which state that if the baseline and two angles of a triangle are known, then the height of that triangle can be calculated.Four Possible Solutions (1) Distances in space cannot be accurately measured.