Gauge symmetry and the arrow of time: How to count what counts

Fuente: arXiv
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Main Author: Gryb, Sean
Format: Preprint
Published: 2025
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author Gryb, Sean
author_facet Gryb, Sean
contents This thesis addresses two major problems in the philosophy of physics. The first is how to identify the minimal physical content of a theory; that is, what features of a theory are truly needed to make predictions, and what can be removed without changing its empirical consequences. The second is the problem of time's arrow: why time seems to have a direction, even though the fundamental laws of physics treat the past and future symmetrically. I show that answering the first question leads to insights about the second. In particular, I argue that the overall size of the Universe is not used to make predictions in cosmology, and so should not count as part of the theory's minimal physical content. Describing the Universe without this feature leads to a striking result: the arrow of time becomes a local phenomenon. Observers like us who see a Universe full of matter clumped together to form structures like stars and planets are statistically much more likely to see increasing clumpiness into the future than into the past. This tendency helps explain our experience of time's direction.
format Preprint
id arxiv_https___arxiv_org_abs_2509_14720
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gauge symmetry and the arrow of time: How to count what counts
Gryb, Sean
History and Philosophy of Physics
General Relativity and Quantum Cosmology
This thesis addresses two major problems in the philosophy of physics. The first is how to identify the minimal physical content of a theory; that is, what features of a theory are truly needed to make predictions, and what can be removed without changing its empirical consequences. The second is the problem of time's arrow: why time seems to have a direction, even though the fundamental laws of physics treat the past and future symmetrically. I show that answering the first question leads to insights about the second. In particular, I argue that the overall size of the Universe is not used to make predictions in cosmology, and so should not count as part of the theory's minimal physical content. Describing the Universe without this feature leads to a striking result: the arrow of time becomes a local phenomenon. Observers like us who see a Universe full of matter clumped together to form structures like stars and planets are statistically much more likely to see increasing clumpiness into the future than into the past. This tendency helps explain our experience of time's direction.
title Gauge symmetry and the arrow of time: How to count what counts
topic History and Philosophy of Physics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2509.14720