Abstract
As a geometrical entity, directed time traditionally follows a one dimensional path of pointlike elements, obeying the classical logic of set theory. Modern mathematics allows more general forms of logic, but time is often still considered a classical variable, which interpolates the geometry of initial and final states of a physical system. How can cosmological time be viewed as an emergent concept in geometrical logic? Using quantum logic as a clue, we investigate local time steps in algebras of finite collections of n measurement outcomes. A local concept of observer time is implicit in the measurement question, but cosmic time becomes a Hegelian measure of complexity of the observer.
Marni Dee Sheppeard