| bio | website | |
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| location | Kolkata,India[91-33-25514464] | |
| age | ||
| visits | member for | 1 year, 6 months |
| seen | Mar 27 at 12:06 | |
| stats | profile views | 225 |
Author/Teacher from India. Interested in General Relativity and other areas of physics
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Nov 15 |
comment |
Local Charts in General Relativity It works "only" at a point and that is a vital issue. Non-local points are left out of consideration since the transformation is worked out locally.The exclusion of non-local regions is a serious flaw since the aforesaid non-local region might contain anisotropies and inhomogeneities that come in the way of applying SR in the local context. Nevertheless we apply SR locally "as if" the non-local region was flat space time.A "Global Transformation" is assumed to be valid |
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Nov 15 |
revised |
On BE and FD Statistics added 4 characters in body |
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Nov 15 |
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Local Charts in General Relativity In Response to Ron Miamon:In the transformation process,you are leaving out a huge portion of the manifold which may have inhomogeneities and anisotropies.The basic reason behind the transformation is to obtain a small flat spacetime region is to apply SR.But can you really apply the Lorentz Transformations in the tiny transformed space,given the vast amount of anisotropies and inhomogeneities in the surrounding space? |
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Nov 15 |
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On BE and FD Statistics Suppose we are interested in investigating[theoretically] these statistical laws in some fast moving celestial object.In the rest frame of the object we may apply them as know them.But wrt to the earth the object with its rest frame is moving very fast.Transformation of these statistical laws is necessary in such situations.My question is intended for such investigation. |
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Nov 15 |
revised |
On BE and FD Statistics deleted 14 characters in body |
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Nov 15 |
revised |
Local Charts in General Relativity added 122 characters in body |
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Nov 14 |
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Local Charts in General Relativity "Our transformation transforms a small region of curved spacetime to a small region of flat spacetime. To this small/finite flat spacetime, we add the rest of it, ignoring all the anisotropies and inhomogenities of the surroundings in the original curved spacetime [original manifold]. In effect we are assuming a "global transformation" without working it out! ".I would like the quoted portion to be considered in view of the answer above[by Ron Miamon] |
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Nov 14 |
awarded | Student |
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Nov 14 |
revised |
On BE and FD Statistics edited body |
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Nov 14 |
asked | On BE and FD Statistics |
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Nov 14 |
revised |
Local Charts in General Relativity added 9 characters in body |
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Nov 14 |
revised |
Local Charts in General Relativity added 456 characters in body |
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Nov 14 |
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Local Charts in General Relativity Tensor equations are supposed to stay invariant under coordinate transformations where the line element is preserved,ie, the value of ds^2 remains unchanged.This is true so long as we are within the same manifold.In General Relativity the tensor equations are considered invariant in all manifolds.The geodesic equation or Maxwell's equations preserve their form[tensor form:covariant form] in all manifolds including flat spacetime |
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Nov 14 |
awarded | Editor |
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Nov 14 |
revised |
Local Charts in General Relativity added 226 characters in body |
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Nov 14 |
asked | Local Charts in General Relativity |