Author(s)

Peter K. F. Kuhfittig

Department of Mathematics, Milwaukee School of Engineering, Milwaukee, WI, USA.

The Brouwer fixed-point theorem in topology states that for any continuous mapping f on a compact convex set into itself admits a fixed point, i.e., a point x₀ such that f(x₀) = x₀. Under suitable conditions, this fixed point corresponds to the throat of a traversable wormhole, i.e., b(r₀) = r₀ for the shape function b = b(r). The possible existence of wormholes can therefore be deduced from purely mathematical considerations without going beyond the existing physical requirements.

Traversable Wormholes, Brouwer Fixed-Point Theorem

Kuhfittig, P. (2020) Traversable Wormholes and the Brouwer Fixed-Point Theorem. Journal of Applied Mathematics and Physics, 8, 1263-1268. doi: 10.4236/jamp.2020.87096.