What's wrong with the Platonic ideal of space and time?
pp. 279-286
in: Shyam Wuppuluri, Giancarlo Ghirardi (eds), Space, time and the limits of human understanding, Berlin, Springer, 2017Abstract
To our senses, space is smooth, 3-dimensional, and flat. We move in a continuum where all points are equal (space is "homogeneous") and all directions are equal ("isotropic", or "round"). If we head off in any direction, we keep on going, with no curving back on ourselves ("flat"). In short, we seem to live in a universe governed by Euclidean geometry.