Kepler was convinced that God had created the Universe in accordance with some perfect geometrical principle!
Did Kepler find the symmetry he was looking for in the form of broken symmetr?
When he observed the motion of the planets he found that they move in elliptical orbits with speeds that vary relative to their distance from the Sun. As the planet moves along its path, it sweeps out an equal area segments in an equal time. So there is a form of geometrical symmetry, but the symmetry seems to be broken by the shape of the elliptical orbit. This video explains an artist theory on the physics of 'time' as a geometrical process. In this theory if the planets orbits were circular there would be no variation in speed and we would have perfect symmetry in movement space and time. This is because objects just free-fall towards the greatest energy because it has the greatest time dilation. The time dilation formed by the Sun is spherical therefore a planet in circular orbit will not encounter a gravitational difference that is formed by time dilation.
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