因果关系的支配动力学:一种因果关系的新表述及其在量子引力和经济理论中的应用
Governing Dynamics from cause and effect: -A novel formulation for causality with applications in Quantum Gravity and Economic Theory
摘要:
本文定义了一个因果关系方程。这个方程然后与量子力学和质能等价的假设相结合,产生量子力学电报员方程,并再现薛定谔方程和克莱因-戈登方程。不可压缩的纳维-斯托克斯方程和经济学中的动态一般均衡(带有纳什均衡的解释)是当因果关系方程涉及自身时,即当原因是其自身的结果时得到的。由于Klein-Gordon方程是通过Wick将因向量按德布罗意角频率旋转得到的,本文提出了一个量子引力方程,它将纳维-斯托克斯方程与广义相对论的爱因斯坦场方程联系起来。
英文摘要:
This paper defines an equation for causality. This equation is then combined with the postulates of quantum mechanics and mass-energy equivalence to produce a quantum mechanical telegrapher's equation and to reproduce the Schrodinger and Klein-Gordon equations. The incompressible Navier-Stokes equations and dynamic general equilibrium in economics (with an interpretation of a Nash equilibrium) are obtained when the equation of causality refers to itself, i.e. when the cause is its own effect. As it is shown that the Klein-Gordon equation is obtained by Wick rotating the cause vector with de Broglie angular frequency, this paper postulates an equation for Quantum Gravity, which relates the Navier-Stokes equations to the Einstein Field Equations of General Relativity.
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