Re: How does one calculate the metric tensor?

2024-10-03 Thread Alan Grayson
On Wednesday, October 2, 2024 at 8:23:48 PM UTC-6 Alan Grayson wrote: On Wednesday, October 2, 2024 at 1:47:48 AM UTC-6 Alan Grayson wrote: Wiki states it's a linear function of two variables whose domain is the vector space of velocity vectors on the tangent plane at some point P, say, on a

Re: How does one calculate the metric tensor?

2024-10-03 Thread Alan Grayson
On Wednesday, October 2, 2024 at 8:23:48 PM UTC-6 Alan Grayson wrote: On Wednesday, October 2, 2024 at 1:47:48 AM UTC-6 Alan Grayson wrote: Wiki states it's a linear function of two variables whose domain is the vector space of velocity vectors on the tangent plane at some point P, say, on a

Re: How does one calculate the metric tensor?

2024-10-02 Thread Alan Grayson
On Wednesday, October 2, 2024 at 1:47:48 AM UTC-6 Alan Grayson wrote: Wiki states it's a linear function of two variables whose domain is the vector space of velocity vectors on the tangent plane at some point P, say, on a spacetime manifold. But assuming we know the function, given by its 4x

How does one calculate the metric tensor?

2024-10-02 Thread Alan Grayson
Wiki states it's a linear function of two variables whose domain is the vector space of velocity vectors on the tangent plane at some point P, say, on a spacetime manifold. But assuming we know the function, given by its 4x4 matrix representation defined on some coordinate system, which pair of