A unified geometric formalism is constructed for higher-order autonomous contact mechanics, yielding Herglotz-type Euler-Lagrange and Hamilton equations.
On field theories with non-localized action
3 Pith papers cite this work, alongside 762 external citations. Polarity classification is still indexing.
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The paper develops a descriptive framework in which scientific reward in physics is understood as transformations of the Polydoxon, the structured set of viable theories, with reward scaling by the transformation's scope, centrality, depth, and future leverage.
The paper derives a nonlocal phase-space uncertainty relation implying a minimal measurable length of order L_M and a finite phase-space cell in nonlocal QFT.
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Higher-order contact mechanics
A unified geometric formalism is constructed for higher-order autonomous contact mechanics, yielding Herglotz-type Euler-Lagrange and Hamilton equations.
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Polydoxon Transformations and Scientific Reward in Physics
The paper develops a descriptive framework in which scientific reward in physics is understood as transformations of the Polydoxon, the structured set of viable theories, with reward scaling by the transformation's scope, centrality, depth, and future leverage.
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On the Meaning of Localization in Non-Local Quantum Field Theory and On the Limits of a Space-Time Description and the Physical Meaning of Phase Space in a Nonlocal Continuum
The paper derives a nonlocal phase-space uncertainty relation implying a minimal measurable length of order L_M and a finite phase-space cell in nonlocal QFT.