Geodesic | How we know Space Time is Curved? | General Relativity के बारे मे और detail मे जाने |
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Why I introduce Parallel transport?
👉 First, It proves that how the shortest path between two points must be a ‘Straight line’. (How click on the link below)
👉 Second, it explains the existence of infinitimaly small ‘Geodesics’ in curved space time model.
Link: • Can a Circle Be a Straight Line?
💥 Between the time span 1:40 to 2:38
I explained,
⚛️ Parallel transports are easily followed in 2D Euclidean space time, But when we apply this on Einstein's space time curvature, the vector shifts by angle from the tangent, thus it affects the Geodesic assumption (in which tangent and vector were parallel). So to correct this we took the help of Newtonian acceleration concept (because it is also wrong as I explained it in video).
💥How 'Geodesic proves' that the space is curved?
👉Understand it from the Earth's perspective. Suppose a geodesic on one of the longitude near the equator. Now, let a second geodesic near the first one in such a way that, the longitude of the second Geodesic is parallel to the first one on the equator. As we move towards the poles we would see that both the parallel geodesic curves are converging. So by this we can conclude that it is a curve, and if they don't converge than we can say that it is flat.
From mathematical view:
If we integrate the geodesic equation for certain limit, suppose from ‘a to b’ for first geodesic Line and from ‘c to b’ for second Geodesic line. If we get the same value then the space is curved and if different values then it is flat.
English version: • How Einstein found that Space time is...
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Narrated by: Prashant Banerjee
Edited by: Prashant Banerjee
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#geodesic #paralleltransport #SpaceTimeCurve #BeyondSciFact
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