PAPER #04 Published: 2025-10-14 • Open Access Preprint

Functorial Renormalization: A Categorical Framework for Scale Transformations

Peter De Ceuster
SIG Labs
Abstract
We propose a categorical formulation of renormalization in which scale changes are encoded as functors between categories that represent physical models at distinct resolution scales.
Keywords & Fields
physicsmathematicscategory theory
Cite this work (BibTeX)
@article{deceuster2025_04-functorial-renorm,
  title = {Functorial Renormalization: A Categorical Framework for Scale Transformations},
  author = {De Ceuster, Peter},
  year = {2025},
  month = {10},
  institution = {SIG Labs},
  doi = {10.5281/zenodo.17352776},
  url = {https://peterdeceuster.uk/papers/04-functorial-renormalization-a-categorical-framework-for-scale-transformations},
  note = {Full text available at https://peterdeceuster.uk/articenter/work/5 (1).pdf}
}