Frédéric Barbaresco’s Post

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THALES "SENSING" Segment Leader of Key Technology Domain PCC (Processing, Control & Cognition)

Jean-Marie Souriau Theorem: Take a Lie group, consider its coadjoint orbit (action of the group on the dual Lie Algebra via coadjoint operator), you find a symplectic manifold ! https://lnkd.in/eHFCKSdm Souriau Lie Group Thermodynamics: Consider the heat as an element of dual Lie algebra and (planck) Temperature as an element of Lie algebra, then the coadoint orbit of the Lie group, acting on the thermodynamics system, generates a symplectic foliation that is Entropy Level sets. Entropy is defined purely geometrically as invariant Casimir function on symplectic leaves ! https://lnkd.in/eEHfC7rX

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