Work

Gravity, Fine-Structure Constant and Natural Units – Some Thoughts Based on Dimensional Analysis –

Year: 2026

Type: article

Abstract: Here we discuss direct links of the number of fundamental dimensions to the fundamental natural constants using simple arguments of dimensional analysis based on Maxwell’s dimensions length (L), time (T) and mass (M) as well as the constants G , c , $$\hbar $$ and e . We find that the form of the fine-structure constant is a direct consequence of this connection. Additionally, our approach emphasises that gravity is a quite distinct area of physics which is not yet successfully quantised, i.e. not yet combined with quantum mechanics. We also discuss different unit systems based on dimensional analysis and natural constants.

Source: Foundations of Physics

DOI: 10.1007/s10701-026-00929-7

Author: Robi Banerjee

Institution: Universität Hamburg

Language: English

Topic: Relativity and Gravitational Theory

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,390

Funder: Universität Hamburg