[Retracted: In this blog I hope to get to a well known issue in general relativity, namely that gravitational energy needs to be defined for a spacetime volume instead of at a point.] The [new] goal is to sketch the Riemann curvature tensor...
I tried to figure out the precession of the perihelion of Mercury calculation out three or four times from my collection technical books on gravity. There was never enough detail for me to follow their work. The authors can rightly figure that anyone reading this part of their textbook is exceptionally good at physics compared to the general populace and will be able to fill in any missing details.
For those part-timers who wish to move beyond the "Brief History of Time" level of physics, this is an obvious thing to try and figure out. Because gravity does not work instantaneously, there is a wee bit more wobble in the orbit of Mercury. This blog hopes to provide all the detail needed.
Looking at the list of snarky puzzles, games with simple groups was a recurring theme.March 20, A Toy Model For Q8Snarky puzzle
What is required so that a system undergoing change can be described just as accurately by the group Z4 as by Q8?Background
The funny thing I realized by building a pipe cleaner model of Q8
is that is too complicated. There must be a simplifying principle out there...Answer
I don't have a proposal right now which makes writing a research driven blog a bit awkward. I will only say I have a proposal when I have an action, and the action has been put into the Mathematica notebook I devised in the fall of last year as part of the process that led to my retraction of GEM (the notebook tested about ten different properties of the action).
This blog is a salvage job. I have towed my t-shirts with the GEM Lagrange density and field equations to the retraction dump, crashing global sales numbers. I have spent time picking through the rubble, trying to understand causes for the crash. While there are multiple reasons, I will focus exclusively on one issue: gauge symmetry.