English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this paper we discuss the question how matter may emerge from space. Forthat purpose we consider the smoothness structure of spacetime as underlyingstructure for a geometrical model of matter. For a large class of compact4-manifolds, the elliptic surfaces, one is able to apply the knot surgery ofFintushel and Stern to change the smoothness structure. The influence of thissurgery to the Einstein-Hilbert action is discussed. Using the Weierstrassrepresentation, we are able to show that the knotted torus used in knot surgeryis represented by a spinor fulfilling the Dirac equation and leading to amass-less Dirac term in the Einstein-Hilbert action. For sufficient complicatedlinks and knots, there are "connecting tubes" (graph manifolds, torus bundles)which introduce an action term of a gauge field. Both terms are genuinelygeometrical and characterized by the mean curvature of the components. We alsodiscuss the gauge group of the theory to be U(1)xSU(2)xSU(3).

On the geometrization of matter by exotic smoothness