Overview
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Explore the intricate relationship between physics and mathematics in this 34-minute lecture by Kyle Cranmer at the Institute for Advanced Study. Delve into the concept of "pre-established harmony" between these disciplines, as observed by Gottfried Leibniz. Examine how mathematical research has often provided essential insights for physicists in their quest to uncover nature's fundamental laws, and conversely, how physics has contributed to advancements in mathematics. Consider the possibility of a future unification of these fields, potentially leading to a comprehensive framework encompassing all universal laws. Learn about Fermi's theory of beta decay, energy scales in context, extreme theory bias, and decision theory in experimental design. Investigate the "ladder of causality" and its role in scientific understanding. Gain valuable insights into the primacy of experimentation in scientific progress, emphasizing that regardless of a theory's elegance, it must align with experimental results to be considered valid.
Syllabus
Intro
PHILOSOPHY
It doesn't matter how beautiful your guess is, if it disagrees with experiment, it's wrong.
FERMI'S THEORY OF BETA DECAY In 1933 Fermi proposed a theory of beta decay
ENERGY SCALES IN CONTEXT
The Higgs receives quantum corrections, too
EXTREME THEORY BIAS
DECISION THEORY Goal: compare utility of two experiments
LADDER OF CAUSALITY Association
Taught by
Institute for Advanced Study