- John Wheeler Saw the Tear in Reality (quantamagazine.com)
When Johnny Wheeler was 4 years old, splashing in the bathtub in Youngstown, Ohio, he looked up at his mother and asked, “What happens when you get to the end of things?” The question would haunt him for the rest of his life. What happens when you get to the bottom of space? What happens when you get to the edge of time? It would lead him to suggest that space-time can’t be the true fabric of the universe. It would compel him, even in his final days, to search for some deeper reality beneath space-time and to wonder whether, somehow, that reality loops back to us.
Geometry has two great treasures: one is the Theorem of Phythagoras, the other the division of a line in extreme and mean ratio. The first we can compare to a mass of gold; the other we may call a precious jewel.
Johannes Kepler
- Geometry (Wikipedia)
Geometry (from Ancient Greek γεωμετρία (geōmetría) ’land measurement’; from γῆ (gê) ’earth, land’, and μέτρον (métron) ‘a measure’) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.