A Universal Dimensional Regularisation Framework for Class-n Singularities

In this paper, we develop a universal dimensional regularisation framework that introduces the Annihilator dimension, to fundamentally cancel out any Class-n singular denominator at the origin. Two use cases, the Newtonian gravitational singularity and the Coulomb electrostatic singularity, are discussed.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-01
DOI
https://doi.org/10.5281/zenodo.22237734
Primary Topic
Algebraic and Geometric Analysis
Type
preprint
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preprint

A Universal Dimensional Regularisation Framework for Class-n Singularities

Siddhartha Manmothe
Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
preprint

A Universal Dimensional Regularisation Framework for Class-n Singularities

Siddhartha Manmothe
preprint en

Abstract

In this paper, we develop a universal dimensional regularisation framework that introduces the Annihilator dimension, to fundamentally cancel out any Class-n singular denominator at the origin. Two use cases, the Newtonian gravitational singularity and the Coulomb electrostatic singularity, are discussed.

Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
DOIOpen Access PDFOpenAlex
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