An observable on a quantum structure is any $σ$-homomorphism of quantum structures from the Borel $σ$-algebra of the real line into the quantum structure which is in our case a monotone $σ$-complete effect algebras with the Riesz Decomposition Property. We show that every observable is a smearing of a sharp observable which takes values from a Boolean $σ$-subalgebra of the effect algebra, and we prove that for every element of the effect algebra there is its spectral measure.
Foundations of Relational Quantum Field Theory I: Scalars
University of Cambridge（剑桥大学）；Basic Research Community for Physics, Leipzig（莱比锡基础物理社区）；Institute for Quantum Optics and Quantum Information, Vienna（维也纳量子光学与量子信息研究所）；Department of Computer Science, University of Oxford（牛津大学计算机系）
Physics-Informed Support Vector Kernels via Green-Function Analogies and Jackson-Chebyshev Spectral Design
Department of Physics, National Taiwan University, Taipei, Taiwan（物理系，国立台湾大学）；Department of Artificial Intelligence, Chang Gung University, Taoyuan, Taiwan（人工智能系，长庚大学）；Department of Neurology, Chang Gung Memorial Hospital, Keelung, Taiwan（神经科，长庚纪念医院）
