MSC 57/58 · Topology

Manifolds & low-dimensional topology (knot theory)

Kelvin's wrong theory that atoms were knotted vortices accelerated a mathematical field that already existed.

Founded: 1847 — Johann Benedict Listing's Vorstudien zur Topologie, with earlier linking-number work by Gauss (1833) — knot theory predates Kelvin by two decades

The claim

Lord Kelvin, 1867: Proposed atoms were knotted vortices in the luminiferous aether — completely wrong physics, abandoned within decades.

Source: Kelvin, “On Vortex Atoms,” Proc. Royal Society of Edinburgh, 1867.

Kelvin's theory didn't originate knot theory — Gauss and Listing got there first — but it accelerated and systematized it, motivating Tait's exhaustive tabulation of knots once the physics collapsed.

What happened

DNA topology (1990) — Topoisomerases manage DNA knotting and supercoiling (Sumners et al.).
Topological quantum computing (1997) — Kitaev's proposal to use anyons — particles that braid like knots.

143 years — founding (1847) to DNA topology (1990)

Verdict: Named dismissal, later applied.

Confidence: high.