P-集合(packet sets)是由内P-集合XF(internal packet set XF)与外P-集合XF(outer packet set XF)构成的元素集合对(XF,XF).P-集合具有动态特性,利用内P-集合XF的结构与动态特性,提出它的反动态特性,给出了基信息、内P-信息、珚F-删除...P-集合(packet sets)是由内P-集合XF(internal packet set XF)与外P-集合XF(outer packet set XF)构成的元素集合对(XF,XF).P-集合具有动态特性,利用内P-集合XF的结构与动态特性,提出它的反动态特性,给出了基信息、内P-信息、珚F-删除信息、内P-反动态信息等概念;给出了内P-反动态信息的范围,内P-反动态信息判定,内P-反动态信息最大度量,内P-有效删除信息,内P-剩余信息定理及推论;最后给出应用实例.展开更多
Without the geometry of light and logic of photon,observer-observability forms a paradox in modern science,truthequilibrium finds no unification,and mind-light-matter unity is unreachable in spacetime.Subsequently,qua...Without the geometry of light and logic of photon,observer-observability forms a paradox in modern science,truthequilibrium finds no unification,and mind-light-matter unity is unreachable in spacetime.Subsequently,quantum mechanics has been shrouded with mysteries preventing itself from reaching definable causality for a general purpose analytical quantum computing paradigm.Ground-0 Axioms are introduced as an equilibrium-based,dynamic,bipolar set-theoretic unification of the first principles of science and the second law of thermodynamics.Related literatures are critically reviewed to justify the self-evident nature of Ground-0 Axioms.A historical misinterpretation by the founding fathers of quantum mechanics is identified and corrected.That disproves spacetime geometries(including but not limited to Euclidean and Hilbert spaces)as the geometries of light and truth-based logics(including but not limited to bra-ket quantum logic)as the logics of photon.Backed with logically definable causality and Dirac 3-polarizer experiment,bipolar quantum geometry(BQG)and bipolar dynamic logic(BDL)are identified as the geometry of light and the logic of photon,respectively,and wave-particle complementarity is shown less fundamental than bipolar complementarity.As a result,Ground-0 Axioms lead to a geometrical and logical illumination of the quantum and classical worlds as well as the physical and mental worlds.With logical resolutions to the EPR and Schr?dinger’s cat paradoxes,an analytical quantum computing paradigm named quantum intelligence(QI)is introduced.It is shown that QI makes mind-light-matter unity and quantum-digital compatibility logically reachable for quantumneuro-fuzzy AI-machinery with groundbreaking applications.It is contended that Ground-0 Axioms open a new era of science and philosophy—the era of mind-light-matter unity in which humanlevel white-box AI&QI is logically prompted to join Einstein’s grand unification to foster major scientific advances.展开更多
P-集合(packet sets)是一个动态模型,P-集合是由内P-集合x^F(internal packet set X^F)与外P-集合XF(~Fouter packet set X^F)构成的元素集合对;或者(X^F,X^F)是P-集合.利用内P-集合的结构,给出内P-信息,内P-反动态信息,信息的内P-反动...P-集合(packet sets)是一个动态模型,P-集合是由内P-集合x^F(internal packet set X^F)与外P-集合XF(~Fouter packet set X^F)构成的元素集合对;或者(X^F,X^F)是P-集合.利用内P-集合的结构,给出内P-信息,内P-反动态信息,信息的内P-反动态恢复概念,给出内P-反动态信息的属性合取收缩生成,给出内P-反动态信息与内P-信息同属性定理,给出内P-反动态信息存在与属性合取范式定理,给出信息的内P-反动态恢复属性定理.这些基本理论结果是把内P-集合与一类信息系统故障状态识别交叉,渗透研究得到的.展开更多
文摘P-集合(packet sets)是由内P-集合XF(internal packet set XF)与外P-集合XF(outer packet set XF)构成的元素集合对(XF,XF).P-集合具有动态特性,利用内P-集合XF的结构与动态特性,提出它的反动态特性,给出了基信息、内P-信息、珚F-删除信息、内P-反动态信息等概念;给出了内P-反动态信息的范围,内P-反动态信息判定,内P-反动态信息最大度量,内P-有效删除信息,内P-剩余信息定理及推论;最后给出应用实例.
文摘Without the geometry of light and logic of photon,observer-observability forms a paradox in modern science,truthequilibrium finds no unification,and mind-light-matter unity is unreachable in spacetime.Subsequently,quantum mechanics has been shrouded with mysteries preventing itself from reaching definable causality for a general purpose analytical quantum computing paradigm.Ground-0 Axioms are introduced as an equilibrium-based,dynamic,bipolar set-theoretic unification of the first principles of science and the second law of thermodynamics.Related literatures are critically reviewed to justify the self-evident nature of Ground-0 Axioms.A historical misinterpretation by the founding fathers of quantum mechanics is identified and corrected.That disproves spacetime geometries(including but not limited to Euclidean and Hilbert spaces)as the geometries of light and truth-based logics(including but not limited to bra-ket quantum logic)as the logics of photon.Backed with logically definable causality and Dirac 3-polarizer experiment,bipolar quantum geometry(BQG)and bipolar dynamic logic(BDL)are identified as the geometry of light and the logic of photon,respectively,and wave-particle complementarity is shown less fundamental than bipolar complementarity.As a result,Ground-0 Axioms lead to a geometrical and logical illumination of the quantum and classical worlds as well as the physical and mental worlds.With logical resolutions to the EPR and Schr?dinger’s cat paradoxes,an analytical quantum computing paradigm named quantum intelligence(QI)is introduced.It is shown that QI makes mind-light-matter unity and quantum-digital compatibility logically reachable for quantumneuro-fuzzy AI-machinery with groundbreaking applications.It is contended that Ground-0 Axioms open a new era of science and philosophy—the era of mind-light-matter unity in which humanlevel white-box AI&QI is logically prompted to join Einstein’s grand unification to foster major scientific advances.
文摘P-集合(packet sets)是一个动态模型,P-集合是由内P-集合x^F(internal packet set X^F)与外P-集合XF(~Fouter packet set X^F)构成的元素集合对;或者(X^F,X^F)是P-集合.利用内P-集合的结构,给出内P-信息,内P-反动态信息,信息的内P-反动态恢复概念,给出内P-反动态信息的属性合取收缩生成,给出内P-反动态信息与内P-信息同属性定理,给出内P-反动态信息存在与属性合取范式定理,给出信息的内P-反动态恢复属性定理.这些基本理论结果是把内P-集合与一类信息系统故障状态识别交叉,渗透研究得到的.