- Available on web site.
- Assignments 1 and 6 are worth 10%; 2-5 20%.
- Assignment guidelines are available on the web
site.
- What are discrete space and time like?
The dots represent the discrete points of space and time; the time between each row of points – a 'chronon' – is e seconds and the distance between neighboring points is t metres. These are the shortest time and distance between any points because there is no time or space between the points. The white dots represent a particle moving to the right, and the grey dots a stationary particle.
- Zeno's Stadium Paradox for discrete space and time: how can two bodies pass without ever being level?
- Motion in discrete space and time.
- What is the speed of the white particle?
- Of the grey one?
- Weyl's Tile Paradox: what is the length of the diagonal of a triangle however big in discrete space? What do we find it to be in practice?
A triangle in discrete 2-dimensional space