Unified Motion–Information–Geometry Principle: A Foundational Variational Framework for Physical and Informational Dynamics

Key Points

• This work aims to introduce a comprehensive framework that connects physical motion, informational dynamics, and geometry.
• Introduces the Unified Motion–Information–Geometry Principle
• Develops a variational formulation
• Links physical motion to informational dynamics and geometric constraints
• Establishes a foundational formulation for the proposed principle
• Records the findings for future scholarly reference
• Provides a unified mathematical representation of dynamics