Unified Information Geometry: A Field Equation for Radius, Energy, and Identity Dynamics

Key Points

• This research aims to establish a geometric framework that treats information as fundamental to physical reality.
• Develop a scalar radius field to represent temporal evolution and information structure.
• Derive a nonlinear field equation to describe the system governing the dynamics.
• Link concepts of energy, mass, consciousness, and identity through successive derivatives.
• A unified description that correlates geometry with physical observables is achieved.
• The scalar radius field successfully encodes temporal information and structural dynamics.
• Emergence of energy and consciousness demonstrates a new perspective on identity dynamics.