Conformal Geometry representing a Geometrical Universe

In conformal geometry angles remain the same while losing the notion of scale. Imagine you have a right angle triangle in the palm of your hand if the triangle was expanded out to half the size of the observable Universe the angles would remain the same. This information supports the idea that the Universe could be based on one universal geometrical process from the very small to the very large. In shape dynamics it is the angles that are important not the scale. In these videos I say that we have a geometrical process that is relative to the atoms of the periodic table. But at high temperature we have a phase change in matter with the same geometrical process unfolding over a much larger scale with charge being able to cover a large area of interstellar space. It is hard to get your head around the idea that the very small world of our everyday life can be based on the same geometry as the large objects of interstellar space. But if you light a candle on the International Space Station in zero gravity it will naturally form a sphere that will have the same geometry as the largest star in interstellar space. In this video I want to go further than this and put forward the idea that the expanding and contracting cosmological branches of cyclic cosmology can be explained by this simple process of spherical symmetry forming and breaking. Within such a process the low entropy at the big bang would be formed by spherical symmetry with the same process unfolding here and now and throughout interstellar space. The exponential expansion of the future expanding universe is equivalent to the Big Bang. When I use the word equivalent I mean based on the same continuous geometrical process.

References:

https://en.wikipedia.org/wiki/Conformal_geometry

Conformal geometry of simplicial surfaces

Keenan Crane

https://www.cs.cmu.edu/~kmcrane/Projects/Other/ConformalGeometryOfSimplicialSurfaces.pdf

Conformal Cyclic Cosmology and Shape Dynamics [3] https://www.youtube.com/watch?v=J8sZ1vsWi58&t=197s