Why robustness is important for physics

Ladina Hausmann, PhD student in QIT Groupt at IPT, ETH Zürich


In theoretical physics, we are searching for properties of theories, for example, whether a theory is deterministic. But what makes a property of a theory physically meaningful? A common answer is that it should be experimentally testable. Real experiments make errors, so measurements that test a property must be robust. This means the experiment is such that the conclusion about the property continues to hold even in the presence of errors. To prove that an experiment is robust, mathematical features, like whether a function is continuous, need to be considered. This shows that while features such as continuity may sound like technicalities only interesting to mathematicians, they are relevant for physics questions.


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