Terminology Wormhole

1 terminology

1.1 modern definitions

1.1.1 topological
1.1.2 geometric

terminology

in 1921, hermann weyl proposed wormhole theory of matter in connection mass analysis of electromagnetic field energy; however, did not use term wormhole (he spoke of one-dimensional tubes instead).

american theoretical physicist john archibald wheeler (inspired weyl s work) coined term wormhole in 1957 paper co-authored charles misner:

this analysis forces 1 consider situations... there net flux of lines of force, through topologists call handle of multiply-connected space, , physicists might perhaps excused more vividly terming wormhole .

modern definitions

wormholes have been defined both geometrically , topologically,

topological

an intra-universe wormhole (a wormhole between 2 points in same universe) compact region of spacetime boundary topologically trivial, interior not connected. formalizing idea leads definitions such following, taken matt visser s lorentzian wormholes (1996).

if minkowski spacetime contains compact region Ω, , if topology of Ω of form Ω ~ r × Σ, Σ three-manifold of nontrivial topology, boundary has topology of form ∂Σ ~ s, , if, furthermore, hypersurfaces Σ spacelike, region Ω contains quasipermanent intrauniverse wormhole.

geometric

geometrically, wormholes can described regions of spacetime constrain incremental deformation of closed surfaces. example, in enrico rodrigo s physics of stargates, wormhole defined informally as:

a region of spacetime containing world tube (the time evolution of closed surface) cannot continuously deformed (shrunk) world line (the time evolution of point).