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Note on differential operators, CHY integrands, and unifying relations for amplitudes
An elegant unified web for amplitudes of various theories was given by
Cachazo, He and Yuan in the CHY framework a few years ago. Recently, similar
web has also been constructed by Cheung, Shen and Wen, which relies on a set of
differential operators. In this note, by acting these differential operators on
CHY-integrands systematically, we have established the relation between these
two approaches. Thus, amplitudes for all theories which have CHY
representations, include gravity theory, Einstein-Yang-Mills theory,
Einstein-Maxwell theory, pure Yang-Mills theory, Yang-Mills-scalar theory,
Born-Infeld theory, Dirac-Born-Infeld theory and its extension, bi-adjoint
scalar theory, theory, non-linear sigma model, as well as special
Galileon theory, have been included in the unified web rooted from gravity
theory.Comment: 20 page
Unification Strategies in Cognitive Science
Cognitive science is an interdisciplinary conglomerate of various research fields and disciplines, which increases the risk of fragmentation of cognitive theories. However, while most previous work has focused on theoretical integration, some kinds of integration may turn out to be monstrous, or result in superficially lumped and unrelated bodies of knowledge. In this paper, I distinguish theoretical integration from theoretical unification, and propose some analyses of theoretical unification dimensions. Moreover, two research strategies that are supposed to lead to unification are analyzed in terms of the mechanistic account of explanation. Finally, I argue that theoretical unification is not an absolute requirement from the mechanistic perspective, and that strategies aiming at unification may be premature in fields where there are multiple conflicting explanatory models
Attention and perceptual adaptation
Commentary on Andy Clark's target article on predictive coding
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