On the universality of Maxwell’s equations
| Autor: | David H. Sattinger |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Introduction to gauge theory
General Mathematics Maxwell's equations in curved spacetime 010102 general mathematics Mathematical analysis Classical field theory Four-force Introduction to the mathematics of general relativity 01 natural sciences 010305 fluids & plasmas Mathematics of general relativity Theory of relativity 0103 physical sciences 0101 mathematics Mathematical physics Electromagnetic tensor Mathematics |
| Zdroj: | Monatshefte für Mathematik. 186:503-523 |
| ISSN: | 1436-5081 0026-9255 |
| Popis: | Einstein’s theory of relativity is based on the Principle of Equivalence, Hilbert’s on invariant theory and the calculus of variations. The two paradigms are not equivalent. Using the universality of Maxwell’s equations, Hilbert’s variational method is used to determine the energy–momentum tensor uniquely, and to show that general relativity can be formulated on the basis of Maxwellian, rather than specific physical force fields. A unified field theory is proved in which the Maxwellian force fields are all on an equal footing, distinct from the geometric field. |
| Databáze: | OpenAIRE |
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