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Bard College

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Diffeomorphisms

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Diffeomorphisms Of Time, Talia Willcott Jan 2022

Diffeomorphisms Of Time, Talia Willcott

Senior Projects Spring 2022

According to Newton, time is a consistent and reliable tool used to measure various physical quantities. According to Einstein, time is subjective and dependent on a number of external factors. There are many ways to analyze and bridge the gab between the two theories, one being mathematically. In this project, I examine three specific notions of time by representing time as a line, using projecive geometry to relate the line to a circle, transforming the circle, and analyzing the physical implications of these transformations.