Time-reversed Young interferometry acts as a source-space information processor where mutual information is the reciprocal invariant and source-label entropy can decrease near destructive interference while Fisher information rises.
General properties of entropy
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Tsallis q-exponential distributions arise by minimizing a free energy built from a self-consistency entropy defined via a nonlinear operator Omega, with q = alpha + beta obtained directly from the operator's fixed-point structure.
Proves an H-theorem for monotonic decrease of a convex functional under iteration and gradient flow of a self-referential operator Omega within the local kernel approximation, with perturbative stability of the Tsallis index and numerical confirmation of a re-entrant disordered phase at kappa > 0.5.
A relative-entropy method with a minimum-relative-entropy hypothesis reproduces quark nPDF shapes from global fits and indicates that EPPS21 gluon central values align more closely with the hypothesis than nNNPDF3.0.
citing papers explorer
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Entropic Reciprocity in Time-Reversed Young Interferometry
Time-reversed Young interferometry acts as a source-space information processor where mutual information is the reciprocal invariant and source-label entropy can decrease near destructive interference while Fisher information rises.
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Emergence of Tsallis Statistics from a Self-Referential Nonlinear Operator: A Variational Framework
Tsallis q-exponential distributions arise by minimizing a free energy built from a self-consistency entropy defined via a nonlinear operator Omega, with q = alpha + beta obtained directly from the operator's fixed-point structure.
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Irreversibility from Self-Reference: Gradient Flow and an H-Theorem for a Self-Referential Statistical Operator Framework
Proves an H-theorem for monotonic decrease of a convex functional under iteration and gradient flow of a self-referential operator Omega within the local kernel approximation, with perturbative stability of the Tsallis index and numerical confirmation of a re-entrant disordered phase at kappa > 0.5.
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An analysis of nuclear parton distribution function based on relative entropy
A relative-entropy method with a minimum-relative-entropy hypothesis reproduces quark nPDF shapes from global fits and indicates that EPPS21 gluon central values align more closely with the hypothesis than nNNPDF3.0.