🔬 Discovery

Varićak's hyperbolic interpretation of relativity and rapidity

Interpretación hiperbólica de la relatividad y rapidez (Varićak)

Date
1908-1910 · confidence high
Place
Zagreb, Croatia
Credited to
Vladimir Varićak
Field
Cosmos & Earth

What was discovered

He showed that relativistic velocity addition can be expressed with Lobachevsky's hyperbolic geometry and defined the angle (rapidity) used today in special relativity. It turned velocity space into a non-Euclidean geometry.

The Physikalische Zeitschrift papers date from 1908 and 1910; the term 'rapidity' is due to Alfred Robb (1911). There was a dispute with Einstein over Lorentz contraction as real or apparent. Varićak was a professor in Zagreb.

What it led to

  • geometry of velocity space and rapidity in particle physics
  • geometric formulation of special relativity
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Sources✓ verified 2026-11-04