Space Exploration

Figuratively disconnecting each spacial dimension and then joining them to one another again results in a mechanism of action that is a configuration dependent projection across the manifold. The line integral  in 1+ 2 dimensions reveals the circle group U(1) as electromagnetism. Variation of the action with respect to the connection arises naturally due to interconnectivity throughout the base metric, and hence, one thereby obtains the volume projection or the Einstein equations.

Different permutations will yield unique projections, and so far only the case for electromagnetism has been explored in any detail. However, regardless of projection-type, they are all dependent on the number of spacial dimensions being precisely three in number.

So, this project aims to explore and develop these ideas and thereby shed some light on possible physics beyond the standard model. What is particularly interesting are the potential applications across the board of approches, such as the popular conjectures of String theory, Loop-quantum-gravity and Causal dynamical triangulation, to name a few.