# Quantised Singularities in the Electromagnetic Field

@article{Dirac1931QuantisedSI, title={Quantised Singularities in the Electromagnetic Field}, author={Paul Adrien Maurice Dirac}, journal={Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences}, year={1931}, volume={133}, pages={60-72} }

The steady progress of physics requires for its theoretical formulation a mathematics that gets continually more advanced. This is only natural and to be expected. What, however, was not expected by the scientific workers of the last century was the particular form that the line of advancement of the mathematics would take, namely, it was expected that the mathematics would get more and more complicated, but would rest on a permanent basis of axioms and definitions, while actually the modern… Expand

#### Paper Mentions

#### 2,468 Citations

Dequantisation of the Dirac Monopole

- 2020

In his classical paper on quantisation of magnetic poles Dirac (1931) remarked that “Non-euclidean geometry and non-commutative algebra, which were at one time considered to be purely fictions of the… Expand

Physical and Geometrical Motivation

- Mathematics
- 2011

It sometimes transpires that mathematics and physics, pursuing quite different agendas, find that their intellectual wanderings have converged upon the same fundamental idea and that, once it is… Expand

Recent developments in Mathematics and Quantum Field Theory

- Physics
- 1993

This talk is an assessment of the way Quantum Field Theory (QFT) has been developing in the last decade. QFT was originally formulated as a relativistic quantum theory of electrodynamics, and… Expand

Physical Consequences of Mathematical Principles

- Physics
- 2009

Physical consequences are derived from the following mathematical structures: the variational principle, Wigner's classifications of the irreducible representations of the Poincargroup and the… Expand

The Mathematical Principles of Scale Relativity Physics

- Physics
- 2018

Even though a physical theory, the Scale Relativity Theory (SRT) means more than physics, as its creator noticed himself. In fact it targets the very foundation of the entire positive knowledge, and… Expand

Quantization and the source of the gravitational field

- Physics
- 1974

DII~AC (1) demonstrated long ago that the existence of magnetic monopoles together with the formalism of quantum mechanics necessarily implies that the sources of the electromagnetic field (electric… Expand

On the Notation of MAXWELL's Field Equations

- Computer Science
- 2000

This essay summarizes the main different notation forms of MAXWELL’s equations, which are known in electrodynamics since 1865 and may have disturbed many scientists intuitively, that they published an extended set of equation, which they sometime introduced for different applications. Expand

Salvo D ’ Agostino From Electrodynamics to Quantum Electrodynamics : a History of the Symbolic Representation of Physics Laws 1

- 2004

In the two hundred years from the mid nineteenth century to the mid twentieth century, physics underwent a remarkable revolution in its mathematics. Let us consider that as a written language,… Expand

From Electrodynamics to Quantum Electrodynamics: a History of the Symbolic Representation of Physics Laws

- Mathematics, Physics
- 1996

In the two hundred years from the mid nineteenth century to the mid twentieth century, physics underwent a remarkable revolution in its mathematics. Let us consider that as a written language,… Expand

Dirac and the dispensability of mathematics

- Physics
- 2005

Abstract In this paper, I examine the role of the delta function in Dirac's formulation of quantum mechanics (QM), and I discuss, more generally, the role of mathematics in theory construction. It… Expand