643 research outputs found
Hamiltonian mechanics is conservation of information entropy
In this work we show the equivalence between Hamiltonian mechanics and conservation of information entropy. We will show that distributions with coordinate independent values for information entropy require that the manifold on which the distribution is defined is charted by conjugate pairs (i.e.~it is a symplectic manifold). We will also show that further requiring that the information entropy is conserved during the evolution yields Hamilton's equations
The Spin Structure of the Nucleon
This article reviews our present understanding of QCD spin physics: the
proton spin puzzle and new developments aimed at understanding the transverse
structure of the nucleon. We discuss present experimental investigations of the
nucleon's internal spin structure, the theoretical interpretation of the
different measurements and the open questions and challenges for future
investigation.Comment: Review, 43 pages, 23 figures, to appear in Reviews of Modern Physic
Hamiltonian mechanics is conservation of information entropy
In this work we show the equivalence between Hamiltonian mechanics and conservation of information entropy. We will show that distributions with coordinate independent values for information entropy require that the manifold on which the distribution is defined is charted by conjugate pairs (i.e.~it is a symplectic manifold). We will also show that further requiring that the information entropy is conserved during the evolution yields Hamilton's equations
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