since the first moment I've started studying the theory of relativity i thought that the minkowski metric represents a flat spacetime (a 4D euclidean space) but while I was surfing the WWW , I arrived to an interactive applet the helps you visualise the idea of spacetime curvature is GR , here...
thanks for your comments ...
what you both said makes perfect sense ...but ..
let's think about the spatial distance only ( forget about the time component of the metric dt=0) , i know that the metrics of the two versions will stay different but think about it this way :
suppose that we have...
thanks for your comment ...
but i think the delay that happens to light (The Shapiro Effect) is due to the gravitational time dilation near the sun not because of the difference between the distances in the flat version and the curved version of the space time ...
a question has been puzzling me for a while is : "is the distance traveled by a beam of light from point A to Point B in a flat space-time differs from the distance traveled by the same beam of light from the same point A and The Same point B but in a curved space-time ?"
In other words ...
to understand why it's all about squares and square roots , you need to think about the space as a vector space , i will illustrate on a 2D Euclidean Space with Cartesian coordinates for simplification but you can generalize it after ...
suppose that we need to measure the distance between two...