In a recent paper by Jack Sarfatti: "Dark Energy, Dark Matter, Low Power UAP Warp Drive Time Travel Poincare Gauge Theory" he suggests to use the Poincaré group gauge theory to explain Dark Matter, Unidentified Aerial Phenomena and Time Travel.
 |
| Dark Matter, Unidentified Aerial Phenomena and Time Travel |
While Poincaré Group Gauge Theory includes torsion naturally, in my opinion it is not the right choice. A better choice would be Conformal Group Gauge Theory. Conformal group contains the Poincaré group as a subgroup. While the discrete mass spectrum of elementary particles seems to break conformal invariance, electrodynamics is naturally conformally invariant, and it seems to me that it is light that is at the foundations of all being, a bridge between material and non-material. So this post will take us closer to the very heart of the conformal group, even if it will be only for 1+1-dimensional spacetime that we are playing with in our sandbox here.
The pdf below is an extract from Notes, just the last chapter. The whole document is here, while this is a link to the part shown below. It is just the beginning, In the next part we will go from SO(2,2) to SL(2,R)xSL(2,4), and then we have a look at graphical representation of transformations both in the Minkowski space and in its conformal double compactification
