Governing Dynamics from cause and effect: -A novel formulation for causality with applications in Quantum Gravity and Economic Theory

TL;DR

This paper introduces a new causality equation linking quantum mechanics, gravity, and economics, deriving fundamental equations like Schrödinger, Klein-Gordon, and Einstein's field equations from a unified causality framework.

Contribution

It proposes a novel causality equation that unifies quantum mechanics, gravity, and economic dynamics, providing new derivations of key physical and economic equations.

Findings

Derivation of Schrödinger and Klein-Gordon equations from causality.

A proposed equation for Quantum Gravity connecting Navier-Stokes and Einstein equations.

Application of causality to economic equilibrium models.

Abstract

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.