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On real forms of JB*-triples
We introduce real JB*-triples as real forms of (complex) JB*-triples and give an algebraic characterization of surjective linear isometries between them. As main result we show: A bijective (notExpand
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Emergent quantum mechanics as a classical, irreversible thermodynamics
We present an explicit correspondence between quantum mechanics and the classical theory of irreversible thermodynamics as developed by Onsager, Prigogine et al. Our correspondence maps irreversibleExpand
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  • Open Access
Gerbes, Quantum Mechanics and Gravity
We prove that invariance of a quantum theory under the semiclassical vs. strong‐ quantum duality S/~ ←→ ~ /S, where S is the classical action, is equivalent to noncommutativity (of theExpand
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  • Open Access
Manifolds of tripotents in JB*-triples
Abstract. We describe the affine connections, geodesics and symmetries of various Banach manifolds of tripotents in JB*-triples which include the C*-algebras and Hilbert spaces where the nonzeroExpand
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The manifold of finite rank projections in the algebra ℒ(H) of bounded linear operators
Abstract Given a complex Hilbert space H , we study the differential geometry of the manifold M of all projections in V = ℒ( H ). Using the algebraic structure of V , a torsionfree affine connectionExpand
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  • Open Access
Nonperturbative Flipped SU(5) Vacua in Heterotic M-Theory
Abstract The evidence for neutrino masses in atmospheric and solar neutrino experiments provides further support for the embedding of the Standard Model fermions in the chiral 16 SO (10)Expand
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  • Open Access
Isometries of JB-algebras
A bijective linear mapping between two JB-algebrasA andB is an isometry if and only if it commutes with the Jordan triple products ofA andB. Other algebraic characterizations of isometries betweenExpand
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The Ricci flow on Riemann surfaces
We establish a 1-to-1 relation between metrics on compact Riemann surfaces without boundary, and mechanical systems having those surfaces as configuration spaces.
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  • Open Access
Generalised Complex Geometry in Thermodynamical Fluctuation Theory
We present a brief overview of some key concepts in the theory of generalized complex manifolds. This new geometry interpolates, so to speak, between symplectic geometry and complex geometry. As suchExpand
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  • Open Access