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
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