I'm trying to figure out how to describe the geometrical coordinates of a wave contacting and reflecting off the surface area of a spherical object/particle; specifically waves traveling at the speed of light.

My goal is to be able to explain the torsion in a region of surface area over time making contact with a wave reflecting off it, considering how the velocity of the object/particle changes as well, and how the geometry of the reflecting wave changes too.

I have a good picture in my head of how it all comes together geometrically, but I don't know how to go about writing it down with tensor geometry on paper.

I'm still very new to using tensor calculus; I would be very excited to be able finally to actually write out the math of a concept I'm thinking about instead of hitting a roadblock at tensor calculus every time and not being able to do anything after that - so, teachers are welcome =)

I know calculus up to about what a second year student would know, and understand the FToC, how differentiation and integration are inversely related, etc.. I even know 3-coordinate volume integrals and planar derivatives, as long as its not too complex of a problem. So, it seems to me like learning tensor geometry and calculus in physics is right where I should be in looking for what to tackle next.

**Edited by metacogitans, 2 January 2017 - 06:43 PM.**