PAPER #21 Published: 2025-10-14 • Open Access Preprint

Topoi for Photons: A Categorical Formulation of Electromagnetic Duality

Peter De Ceuster
SIG Labs
Abstract
We propose a categorical formulation of electromagnetic (Maxwell) duality by identifying a class of Grothendieck topoi whose internal cohomological data encode electric and magnetic sectors and admit a canonical duality isomorphism.
Keywords & Fields
physicsmathematicscategory theory
Cite this work (BibTeX)
@article{deceuster2025_21-topoi-for-photons,
  title = {Topoi for Photons: A Categorical Formulation of Electromagnetic Duality},
  author = {De Ceuster, Peter},
  year = {2025},
  month = {10},
  institution = {SIG Labs},
  doi = {10.5281/zenodo.17352601},
  url = {https://peterdeceuster.uk/papers/21-topoi-for-photons-a-categorical-formulation-of-electromagnetic},
  note = {Full text available at https://peterdeceuster.uk/articenter/work/experimental (1).pdf}
}