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math-ph2020★ 4 cited
Relativity without light: A new proof of Ignatowski's theorem
Jean-Philippe Anker, Francois Ziegler
V. Ignatowski (1910) showed that assumptions about light are not necessary to obtain Lorentzian kinematics as one of only few possibilities. We give a much simplified proof of his…
math-ph2013
Localized Quantum States
Francois Ziegler
Let X be a symplectic manifold and Aut(L) the automorphism group of a Kostant-Souriau line bundle on X. *Quantum states for X*, as defined by J.-M. Souriau in the 1990s, are certai…