geometrodynamics in a sentence

Examples

1. Quantum gravoelectrodynamics is the field of scientific study concerning the properties of electrodynamics and general relativity viewed through the tools of differential geometry . ?The origins of quantum gravoelectrodynamics can be found in the research of Friedrich Gauss [ 1 ] [ 2 ] and Bernhard Riemann [ 2 ] . ?Their vision was a search to find a theory based on analysis and calculations that explained nature . ?In their work they found many mathematical tools which can be used to understand electrostatics, geometry and spacetime . ?A more modern conceptualization can be found in John Wheeler s " Geometrodynamics . " ?The central idea here is that gravitation and electromagnetism can be described in terms of geometry itself [ 3 ] . ?Quantum gravoelectrodynamics starting point is the Minkowskian idea of spacetime [ 4 ] . ?For general relativity analysis occurs in spacetime and one takes derivatives to derive the matelectric field, the matmagnetic field, mass, velocity, matter waves, matter radiation and the other element of classical analysis . ?The manifold here is the traditional spacetime with units of distance . ?For electrodynamics analysis occurs in pospotential spacetime in which one takes derivatives to derive traditional concepts like the electric field, the magnetic field, charge waves ( fka electromagnetic waves ), charge radiation ( fka electromagnetic radiation ), current and charge . ?The manifold here has units of distance times the square root of Newtons divided by Amperes . ?Tools from differential geometry like the shape operator, the first fundamental form, the second fundamental form and the third fundamental form are used to find normal curvature, principal curvature, Gaussian curvature and mean curvatures.