Hans Freudenthal (1905–1990)

Black holes admitting a Freudenthal dual

The quantised charges x of four dimensional stringy black holes may be assigned to elements of an integral Freudenthal triple system whose automorphism group is the corresponding U-duality and whose U-invariant quartic norm ∆(x) determines the lowest order entropy. Here we introduce a Freudenthal duality x→ x̃, for which ̃̃ x = −x. Although distinct from U-duality it nevertheless leaves ∆(x) inva...

Hans Arnold Heilbronn 1908-1975 Hans

Freudenthal triple classification of three-qubit entanglement

We show that the three-qubit entanglement classes: (0) Null, (1) Separable A-B-C, (2a) Biseparable A-BC, (2b) Biseparable B-CA, (2c) Biseparable C-AB, (3) W and (4) GHZ correspond respectively to ranks 0, 1, 2a, 2b, 2c, 3 and 4 of a Freudenthal triple system defined over the Jordan algebra C⊕C⊕C. We also compute the corresponding SLOCC orbits. ∗[email protected] †duminda.dahanayake@i...

Hans Meinhardt

Hans Meinhardt is a theoretical developmental biologist working at the Max-Planck-Institute for Developmental Biology in Tübingen. He has pioneered the use of mathematical modelling of embryonic pattern formation. He received his PhD from the University of Cologne in Physics. For a postdoctoral fellowship, he went to the European High Energy Laboratory CERN at Geneva. By collaborating in an exp...

Chair : Hans