Returning to the Cosmological Constant

Once I do the Principle of Least Action/Time I will return to the Cosmological Constant.  This is part of the Einstein Field Equations.  The proposed solution I have for this is a Super Local Wave which is part of the Wave In Wave design pattern.  More on this later.

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.