umu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
On the Existence of Electrodynamics on Manifold-like Polyfolds
Umeå University, Faculty of Science and Technology, Department of Physics.
2019 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesisAlternative title
Om existensen av elektrodynamik på mångfaldsliknande polyfolder (Swedish)
Abstract [en]

This essay examines the question whether the classical theory of electrodynamics can be extended to a spacetime which locally changes dimension and if such an endeavour is mathematically possible. Recent research has developed a new generalisation of smooth manifolds, the so called M-polyfolds, which constitutes a sufficient foundation to make this endeavour a physical plausibility. These M-polyfolds then facilitate the capability to define the velocity of a curve going through a dimensionally shifting spacetime. Moreover, necessary extensions to the theory of M-polyfolds is developed in order to tailor the theory to a more physically focused framework. Concluding the essay, Maxwell’s equations on M-polyfolds are defined.

Abstract [sv]

Den här uppsatsen betraktar huruvida klassisk elektrodynamik kan generaliseras till en rumtid som lokalt byter dimension samt om detta är matematiskt möjligt. Nyligen har forskningen utvecklat en generalisering av släta mångfalder, så kallade M-polyfolds, vilka ger oss en tillräcklig grund för att göra detta till en fysikalisk möjlighet. Dessa M-polyfolds möjliggör förmågan att definiera hastigheten av en kurva som går igenom en dimensionellt varierande rumtid. Därutöver utvecklas vissa nödvändiga förlängningar av teorin om M-polyfolds, detta för att skräddarsy teorin till ett mer fysikaliskt ramverk. Därefefter avslutas uppsatsen genom att definiera Maxwells ekvationer på M-polyfolds.

Place, publisher, year, edition, pages
2019. , p. 110
National Category
Geometry
Identifiers
URN: urn:nbn:se:umu:diva-155488OAI: oai:DiVA.org:umu-155488DiVA, id: diva2:1282087
Subject / course
Examensarbete i teknisk fysik
Educational program
Master of Science Programme in Engineering Physics
Supervisors
Examiners
Available from: 2019-01-24 Created: 2019-01-24 Last updated: 2019-01-24Bibliographically approved

Open Access in DiVA

fulltext(1414 kB)135 downloads
File information
File name FULLTEXT01.pdfFile size 1414 kBChecksum SHA-512
43411a2bfaf212484a1b4d5e0568e5af2623263cd227f6956da181691489a4adcedec9a62b91510b4af6ad1b342bea8a95a20913a0f98c982d43a99a37ac9da4
Type fulltextMimetype application/pdf

By organisation
Department of Physics
Geometry

Search outside of DiVA

GoogleGoogle Scholar
Total: 135 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 472 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf