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geordief replied to the thread I How Is Intrinsic Curvature Measured in Higher Dimensions Like 4D Spacetime?.

So I take your (and,presumably eveyone else's) word that the tangent planes of a sphere (and presumably of any "uneven sphere" ) can be...

Sep 28, 2025
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geordief replied to the thread I How Is Intrinsic Curvature Measured in Higher Dimensions Like 4D Spacetime?.

@A.T. Without recourse to parallel transport?

Sep 28, 2025
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geordief posted the thread I How Is Intrinsic Curvature Measured in Higher Dimensions Like 4D Spacetime? in Special and General Relativity.

The intrinsic curvature of a 2d sphere is measured (as far as I can tell) by the means of its tangent planes that lie in the 3d...

Sep 28, 2025
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geordief replied to the thread I Question about Parallel Transport.

Very pleased if that is the case as I have been trying to understand this concept for the last 10 years. I wonder if I can now try...

Sep 25, 2025
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geordief replied to the thread I Question about Parallel Transport.

If the turret of the tank is attached to the body by a mount that uses 100% non friction ball bearings ** and we send the tank around...

Sep 25, 2025
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geordief posted the thread I Question about Parallel Transport in Special and General Relativity.

In this video I can see a person walking around lines of curvature on a sphere with an arrow strapped to his waist. His task is to...

Sep 25, 2025
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geordief replied to the thread I Non-orthogonal bases.

Thanks very much for those answers So a tool it is but non orthogonal axes do occur in real applications.(the crystals seem obvious now...

Sep 18, 2025
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geordief posted the thread I Non-orthogonal bases in General Math.

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along...

Sep 18, 2025

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