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Previous Programs

2016 Physics of the Observer
2016 Awardees

2015 The Physics of What Happens
2015 Awardees

2013 Physics of Information
2013 Awardees

2010 The Nature of Time
2010 Awardees

2008 Foundational Questions in Physics and Cosmology
2008 Awardees

2006 Foundational Questions in Physics and Cosmology
2006 Awardees

Dr. Jenny Harrison
University of California at Berkeley

Project Title

Axioms of Calculus and Mechanics

Project Summary

We present axioms of calculus that unify the discrete and the smooth continuum with applications to fractals, soap films, charged particles, and smooth manifolds. Properties that follow from the axioms include broad generalizations of the integral theorems of calculus that are equally valid for the above domains. A goal for the period of this grant is to establish similar axioms of mechanics that unify the quantum and classical viewpoints.



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