Purpose: Use as an organizing 'principle' to serve as a backdrop to express the historical evolution of various models of space and time


Aristotelian Spacetime


So, time is an absolute element in Aristotelian Spacetime:

Center earth identified with absolute rest

Center of earth 'possesses' a universal clock

Cosmos is finite in events are defined outside

Time slices give times of other events referenced to the central universal clock
Galilean Spacetime

=> universe assumed infinite and
the same in all directions at each point

=> concept of absolute place no longer valid

...consider two inertial observers who observe the spatial interval between two points A and B:

These two situations can't be different in a world without preferred places
Principle of Galilean Relativity:

The laws of nature (i.e. certain organizations of the set of events E) do not depend on the velocity of a given observer relative to another inertial observer

Relation between velocities:

v3|1 = v3|2 + v2|1