Next topic The Geodesic

I'd like to discuss how the Geodesic works in Pi-Space and understand what the path of least time means using the Field notation.

PDF Updates Fields and GR

Enegy Tensor Treatment
Orbits from a GR Viewpoint

Note: I may fix up the Orbits calculations and drill down into this a little bit more.

Orbits for General Relativity and Pi Space

Improving the trajectory calculations

I will cover a small but important modification to the trajectory calculations for Pi-Space.  The basic idea is to extend the current work to use the Pi-Space calculations for distance which should match the distance calculation in General Relativity.  I will add it in to the general mechanism for a trajectory.  All things going well I will do this sometime this week.

Returning to the Pi-Space Physics Theory this week

I will begin work on how Pi-Space handles the GR Geodesic next.  Recall from the work on Orbits, we use the Law of the Sines and the Law of the Cosines to calculate position.  I will also call how the the Principle of Least Time works and what this actually means from a Geometric Viewpoint in Pi-Space.  It's reasonably straight-forward in Pi-Space.  This ties in with how we calculate GR Proper Time.

Note: I'll also update the PDF following this.

Next Steps After Break, Geodesic

I am taking a break.  All things going well, I will describe how to calculate relativistic movment which "in theory" matches the Geodesic.

Einstein Field Equation Relationship For Pi-Space

Note: To get Newtonian Energy, multiply the result by c^2.