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Essay 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.
Author Bio
Marni D. Sheppeard is a physicist from New Zealand, who is currently employed as a cafe worker at Mt John Observatory in Tekapo. After completing her BSc(Hons) at UNSW in 1989, she spent several years working in experimental physics in Australia, and in a large variety of non academic jobs, before moving to Wanaka to be close to the mountains. Her 2007 PhD, from the University of Canterbury, discusses the relation of quantum logic to causality in a categorical approach to quantum gravity.