Tensor-Centric Warfare IV:Kahler Dynamics of Battlefields  

作　　者：Vladimir Ivancevic Darryn Reid Peyam Pourbeik 

机构地区：[1]Joint and Operations Analysis Division,Defence Science&Technology Group,Adelaide,Australia [2]Cyber and Electronic Warfare Division,Defence Science&Technology Group,Adelaide,Australia

出　　处：《Intelligent Control and Automation》2018年第4期123-146,共24页智能控制与自动化（英文）

摘　　要：This paper presents the complex dynamics synthesis of the combat dy-namics series called tensor-centric warfare (TCW;for the first three parts of the series, see [1] [2] [3]), which includes tensor generalization of classical Lanchester-type combat equations, entropic Lie-dragging and commutators for modeling warfare uncertainty and symmetry, and various delta-strikes and missiles (both deterministic and random). The present paper gives a unique synthesis of the Red vs. Blue vectorfields into a single complex battle-vectorfield, using dynamics on Kähler manifolds as a rigorous framework for extending the TCW concept. The global Kähler dynamics framework, with its rigorous underpinning called the Kähler-Ricci flow, provides not only a new insight into the “geometry of warfare”, but also into the “physics of warfare”, in terms of Lagrangian and Hamiltonian structures of the battlefields. It also provides a convenient and efficient computational framework for entropic wargaming.This paper presents the complex dynamics synthesis of the combat dy-namics series called tensor-centric warfare (TCW;for the first three parts of the series, see [1] [2] [3]), which includes tensor generalization of classical Lanchester-type combat equations, entropic Lie-dragging and commutators for modeling warfare uncertainty and symmetry, and various delta-strikes and missiles (both deterministic and random). The present paper gives a unique synthesis of the Red vs. Blue vectorfields into a single complex battle-vectorfield, using dynamics on Kähler manifolds as a rigorous framework for extending the TCW concept. The global Kähler dynamics framework, with its rigorous underpinning called the Kähler-Ricci flow, provides not only a new insight into the “geometry of warfare”, but also into the “physics of warfare”, in terms of Lagrangian and Hamiltonian structures of the battlefields. It also provides a convenient and efficient computational framework for entropic wargaming.

关 键 词：Tensor-Centric Warfare Kahler Geometry Complex Battle-Vectorfield Lagrangian and Hamiltonian Battlefields Kahler-Ricci Flow Entropic Computational Wargaming 

分 类 号：O1[理学—数学]